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Question 1
Company A - 0.56/Unit
Company B - 0.61/Unit

For company A: Each unit costs 0.5+0.02=0.52
Its defective rate is 7.5%.
Order size does not change ultimate unit price, so just think of 100 pens.
(100 * 0.52)/92.5=0.562...

For company B whose defective rate is 2%.
(0.60*100)/98 = 0.612...

Question 2:My answer is (B) 10 months.
The expected sale is around 10K units for the first month, increasing by 10K units every month.
Company A has a maximum monthly spare capacity for production of 50K pens.
Company B has a maximum monthly spare capacity for production of 100K pens.

At first, I thought the answer is 15 because both companies can be tapped. There is no answer choice of 15.
So, SmartPens can only pick one company. Company B it is.

Question 3: My answer is (C). This one is a bit tricky as we have very limited information about the scenario.
(A) How higher than initially estimated? If just 1% higher, there should be be the cause of alarm. If 100% higher, maybe. I eliminate (A) for the lack of clarity.
(B) Very attractive as it would reduce lost sales by 7k. But my reading is that the company is more concerned with higher investment for an untested tech: "The company fears that such a high upfront investment for an untested technology could be a big risk and may get rejected by the board." So the accelerated ramp-up time, while definitely a positive, may not be the game-changer.
(C) If the demand is more assured, the company's investment is well-justified. Even if they outsource to either company A or B, they still have to produce pens in-house after 10 months at most.
(D) How much more? Not a big deal if it is just 0.01 cent more per pen. Plus, this is new tech (with patent protection I assume). How can A quote the same produce for another company? Besides, an alternative option can be company B, not necessarily own factory.
(E) Can be easily eliminated as it helps justify outsourcing options.

Could you please explain your answer for question #2? This part of the question, "The expected sale is around 10K units for the first month, increasing by 10K units every month." made me think that in Month 1 we'd sell 10K units, Month 2 - 20K, Month 3 - 30K, Month 4 - 40K etc. I'm not understanding how to relate Company B's capacity to this question.
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Sajjad1994
Competition mode is off now

OAs are:

Question #1

Company A: 0.56/Unit
Company B: 0.61/Unit

Question #2

C

Question #3

C

Can you explain question 2 a bit further?

Now I think about it further: Company B should be smart enough to manufacture at maximum capacity from the first month. This will generate excessive supply for months later (beyond month 10) when the market demand is higher than maximum capacity.

If this strategy is adopted, company B can supply enough pens for as long as 19 months.
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Question 1
Company A - 0.56/Unit
Company B - 0.61/Unit

For company A: Each unit costs 0.5+0.02=0.52
Its defective rate is 7.5%.
Order size does not change ultimate unit price, so just think of 100 pens.
(100 * 0.52)/92.5=0.562...

For company B whose defective rate is 2%.
(0.60*100)/98 = 0.612...

Question 2:My answer is (B) 10 months.
The expected sale is around 10K units for the first month, increasing by 10K units every month.
Company A has a maximum monthly spare capacity for production of 50K pens.
Company B has a maximum monthly spare capacity for production of 100K pens.

At first, I thought the answer is 15 because both companies can be tapped. There is no answer choice of 15.
So, SmartPens can only pick one company. Company B it is.

Question 3: My answer is (C). This one is a bit tricky as we have very limited information about the scenario.
(A) How higher than initially estimated? If just 1% higher, there should be be the cause of alarm. If 100% higher, maybe. I eliminate (A) for the lack of clarity.
(B) Very attractive as it would reduce lost sales by 7k. But my reading is that the company is more concerned with higher investment for an untested tech: "The company fears that such a high upfront investment for an untested technology could be a big risk and may get rejected by the board." So the accelerated ramp-up time, while definitely a positive, may not be the game-changer.
(C) If the demand is more assured, the company's investment is well-justified. Even if they outsource to either company A or B, they still have to produce pens in-house after 10 months at most.
(D) How much more? Not a big deal if it is just 0.01 cent more per pen. Plus, this is new tech (with patent protection I assume). How can A quote the same produce for another company? Besides, an alternative option can be company B, not necessarily own factory.
(E) Can be easily eliminated as it helps justify outsourcing options.

Could you please explain your answer for question #2? This part of the question, "The expected sale is around 10K units for the first month, increasing by 10K units every month." made me think that in Month 1 we'd sell 10K units, Month 2 - 20K, Month 3 - 30K, Month 4 - 40K etc. I'm not understanding how to relate Company B's capacity to this question.

Evidently I got it wrong. Let's wait for the OA.

Your understanding is correct: First month 10k; Second month 20k, Month 10-100k.
Company B (or A) must manufacture enough pens to satisfy the ever-higher market.
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Explanation

1. What is the overall cost per working unit for SmartPens Ltd from each of the companies A and B, assuming an order size of 10K units and that the defective units are thrown away by SmartPens Ltd? Make only two selections - one in each column

Overall cost for Company A

Initial cost = 0.5/unit
Transportation cost = 0.02
Total cost per unit = 0.52

Total cost of 10K units = 5200

Now minus the defective pieces = 10,000 - 750 = 9250

So basically 5200$ cost is for 9250 units that becomes 5200/9250 = 0.562 = 0.56

Overall cost for Company B

Initial cost = 0.6/unit
Transportation cost = 0
Total cost per unit = 0.60

Total cost of 10K units = 6,000

Now minus the defective pieces = 10,000 - 200 = 9800

So basically we 6000$ cost is for 9800 units that becomes 6000/9800 = 0.612 = 0.61

Answer:

Company A: 0.56/Unit
Company B: 0.61/Unit

2. Assuming that the company’s demand meets projections, what is the maximum number of months that the company can wait before it needs to start building its own factory?

This question asks about what maximum time a company can go for outsourcing and not starting its own plant.

Company A's plant capacity is 50K units so if SmartPens Ltd. go with company A it can only keep itself from starting its own plant for just five months but if it goes with company B that has a plant capacity of 100K units company can go for as long as 10 months so for a maximum time company can go with the outsourcing option for 10 months

Answer: B

3. Which of the following statements, if true, would most strongly motivate SmartPens to start investing in its own production unit from the beginning?

A. Defect rate for Company A and Company B products are higher than initially estimated

We don't have enough data about the actual defect rates so we can not say anything with surety. This is an example of a could be true answer choice while we are looking for a must be true answer choice

B. Development of new unit would take around two months, instead of four months as initially thought.

An upfront payment that is needed for the start of the plant is the main issue of concern as we are not looking for the time period.

C. An initial survey by a well-respected company has suggested strong demand for the new pen.

A strong demand suggests that the demand would be far greater than speculated so this must be a deciding factor for the company to go for its plant. The company is hesitant to start the plant in the event of no demand, so if there is no issue with the demand of the pen then the company will go for its own plant rather sourcing it out.

D. Company A charges less per-unit to other customers than its quote for SmartPens.

This is the opposite.

E. Company A and Company B are trusted producers of pens for over a decade.

This is also the opposite.

Answer: C
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Sajjad1994
Competition mode is off now

OAs are:

Question #1

Company A: 0.56/Unit
Company B: 0.61/Unit

Question #2

C

Question #3

C

Can you explain question 2 a bit further?

Now I think about it further: Company B should be smart enough to manufacture at maximum capacity from the first month. This will generate excessive supply for months later (beyond month 10) when the market demand is higher than maximum capacity.

If this strategy is adopted, company B can supply enough pens for as long as 19 months.

We cannot assume the above highlighted on our own, we have to keep ourselves within the boundaries of the question data. Thinking so will go outside of the scope. The answer given in the source is C and I assume this might be a typo as I am unable to find any logic that supports C.
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zhanbo
Question 1
Company A - 0.56/Unit
Company B - 0.61/Unit

For company A: Each unit costs 0.5+0.02=0.52
Its defective rate is 7.5%.
Order size does not change ultimate unit price, so just think of 100 pens.
(100 * 0.52)/92.5=0.562...

For company B whose defective rate is 2%.
(0.60*100)/98 = 0.612...

Question 2:My answer is (B) 10 months.
The expected sale is around 10K units for the first month, increasing by 10K units every month.
Company A has a maximum monthly spare capacity for production of 50K pens.
Company B has a maximum monthly spare capacity for production of 100K pens.

At first, I thought the answer is 15 because both companies can be tapped. There is no answer choice of 15.
So, SmartPens can only pick one company. Company B it is.

Question 3: My answer is (C). This one is a bit tricky as we have very limited information about the scenario.
(A) How higher than initially estimated? If just 1% higher, there should be be the cause of alarm. If 100% higher, maybe. I eliminate (A) for the lack of clarity.
(B) Very attractive as it would reduce lost sales by 7k. But my reading is that the company is more concerned with higher investment for an untested tech: "The company fears that such a high upfront investment for an untested technology could be a big risk and may get rejected by the board." So the accelerated ramp-up time, while definitely a positive, may not be the game-changer.
(C) If the demand is more assured, the company's investment is well-justified. Even if they outsource to either company A or B, they still have to produce pens in-house after 10 months at most.
(D) How much more? Not a big deal if it is just 0.01 cent more per pen. Plus, this is new tech (with patent protection I assume). How can A quote the same produce for another company? Besides, an alternative option can be company B, not necessarily own factory.
(E) Can be easily eliminated as it helps justify outsourcing options.
Could you please explain your answer for question #2? This part of the question, "The expected sale is around 10K units for the first month, increasing by 10K units every month." made me think that in Month 1 we'd sell 10K units, Month 2 - 20K, Month 3 - 30K, Month 4 - 40K etc. I'm not understanding how to relate Company B's capacity to this question.
­I also understood the question like this only, first month 10k ; second month 20k and so on. @Sajjad1994 is this interpretation wrong? Isn't it written that the monthly sale is increasing by 10k units every month?
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Sajjad1994
Explanation

1. What is the overall cost per working unit for SmartPens Ltd from each of the companies A and B, assuming an order size of 10K units and that the defective units are thrown away by SmartPens Ltd? Make only two selections - one in each column

Overall cost for Company A

Initial cost = 0.5/unit
Transportation cost = 0.02
Total cost per unit = 0.52

Total cost of 10K units = 5200

Now minus the defective pieces = 10,000 - 750 = 9250

So basically 5200$ cost is for 9250 units that becomes 5200/9250 = 0.562 = 0.56

Overall cost for Company B

Initial cost = 0.6/unit
Transportation cost = 0
Total cost per unit = 0.60

Total cost of 10K units = 6,000

Now minus the defective pieces = 10,000 - 200 = 9800

So basically we 6000$ cost is for 9800 units that becomes 6000/9800 = 0.612 = 0.61

Answer:

Company A: 0.56/Unit
Company B: 0.61/Unit

2. Assuming that the company’s demand meets projections, what is the maximum number of months that the company can wait before it needs to start building its own factory?

This question asks about what maximum time a company can go for outsourcing and not starting its own plant.

Company A's plant capacity is 50K units so if SmartPens Ltd. go with company A it can only keep itself from starting its own plant for just five months but if it goes with company B that has a plant capacity of 100K units company can go for as long as 10 months so for a maximum time company can go with the outsourcing option for 10 months

Answer: B

3. Which of the following statements, if true, would most strongly motivate SmartPens to start investing in its own production unit from the beginning?

A. Defect rate for Company A and Company B products are higher than initially estimated

We don't have enough data about the actual defect rates so we can not say anything with surety. This is an example of a could be true answer choice while we are looking for a must be true answer choice

B. Development of new unit would take around two months, instead of four months as initially thought.

An upfront payment that is needed for the start of the plant is the main issue of concern as we are not looking for the time period.

C. An initial survey by a well-respected company has suggested strong demand for the new pen.

A strong demand suggests that the demand would be far greater than speculated so this must be a deciding factor for the company to go for its plant. The company is hesitant to start the plant in the event of no demand, so if there is no issue with the demand of the pen then the company will go for its own plant rather sourcing it out.

D. Company A charges less per-unit to other customers than its quote for SmartPens.

This is the opposite.

E. Company A and Company B are trusted producers of pens for over a decade.

This is also the opposite.

Answer: C
­Hey Sajjad1994, I understand the logic used for arriving at 10 months for Q.2. I reached a similar conclusion. However, the question mentions that it will take at least 4 months for its own factory to get ready. So shouldn't that also come into consideration in this question? i.e, if it takes 4 months for the factory to get ready, then the company can wait a maximum of 6 months before it neefs to start building its own factory.
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For question 2 - If the company chooses to go with both company A and Company B then their maximum capacity becomes 150k units, the demand for which is reached in 15 months. Now the question here asks the amount of time it can wait before it starts building its own factory. Building their own factory will take 4 months, hence they can wait for 15-4=11 months. Hence option number C.

How is this incorrect can you please help? Sajjad1994 chetan2u
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bhattarbharat
For question 2 - If the company chooses to go with both company A and Company B then their maximum capacity becomes 150k units, the demand for which is reached in 15 months. Now the question here asks the amount of time it can wait before it starts building its own factory. Building their own factory will take 4 months, hence they can wait for 15-4=11 months. Hence option number C.

How is this incorrect can you please help? Sajjad1994 chetan2u
­I would agree with you and the logic, but the wordings in the question have left much more for one's own interpretation. The company talk sof three proposals, would it go for all three together. If it has to maximize the duration, wouldnt it get the production to 150k from the very beginning, so that excess could be used for 16th or 17th month.

But, yes, your logic for 11, if that is the answer, is correct, and I believe the maker of the question was thinking on same lines as your logic.
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Quote:
Evidently I got it wrong. Let's wait for the OA.

Your understanding is correct: First month 10k; Second month 20k, Month 10-100k.
Company B (or A) must manufacture enough pens to satisfy the ever-higher market.
­Even with the interpretation of an increase per month demand by 10K, Company B will be able to meet the demands till Month 10 (10k*10 by then). Hence, the answer will be 10 months.
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2. Assuming that the company’s demand meets projections, what is the maximum number of months that the company can wait before it needs to start building its own factory?

Questions is specific about when it need to start. If we go with just company B's proposal, answer should be 6 months (10 months (B's max capacity)-4 month (time required to build the factory)).

Otherwise answer should be C (11 months) as bhattarbharat explained.
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I think the Solution for Question 2 is right, but the approach is wrong. The maximum outsourced capacity is 150k, so in month 16th the would miss out an extra opportunity of 10k in sales. So they should start building the factory in month 11th (takes 4 month) -> so, they can wait 10 month since they start in the 11th month.
zhanbo
Question 1:
Company A - 0.56/Unit
Company B - 0.61/Unit

For company A: Each unit costs 0.5+0.02=0.52
Its defective rate is 7.5%.
Order size does not change ultimate unit price, so just think of 100 pens.
(100 * 0.52)/92.5=0.562...

For company B whose defective rate is 2%.
(0.60*100)/98 = 0.612...

Question 2:My answer is (B) 10 months.
The expected sale is around 10K units for the first month, increasing by 10K units every month.
Company A has a maximum monthly spare capacity for production of 50K pens.
Company B has a maximum monthly spare capacity for production of 100K pens.

At first, I thought the answer is 15 because both companies can be tapped. There is no answer choice of 15.
So, SmartPens can only pick one company. Company B it is.

Question 3: My answer is (C). This one is a bit tricky as we have very limited information about the scenario.
(A) How higher than initially estimated? If just 1% higher, there should be be the cause of alarm. If 100% higher, maybe. I eliminate (A) for the lack of clarity.
(B) Very attractive as it would reduce lost sales by 7k. But my reading is that the company is more concerned with higher investment for an untested tech: "The company fears that such a high upfront investment for an untested technology could be a big risk and may get rejected by the board." So the accelerated ramp-up time, while definitely a positive, may not be the game-changer.
(C) If the demand is more assured, the company's investment is well-justified. Even if they outsource to either company A or B, they still have to produce pens in-house after 10 months at most.
(D) How much more? Not a big deal if it is just 0.01 cent more per pen. Plus, this is new tech (with patent protection I assume). How can A quote the same produce for another company? Besides, an alternative option can be company B, not necessarily own factory.
(E) Can be easily eliminated as it helps justify outsourcing options.
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I think the Solution for Question 2 is right, but the approach is wrong. The maximum outsourced capacity is 150k, so in month 16th the would miss out an extra opportunity of 10k in sales. So they should start building the factory in month 11th (takes 4 month) -> so, they can wait 10 month since they start in the 11th month.
zhanbo
Question 1:
Company A - 0.56/Unit
Company B - 0.61/Unit

For company A: Each unit costs 0.5+0.02=0.52
Its defective rate is 7.5%.
Order size does not change ultimate unit price, so just think of 100 pens.
(100 * 0.52)/92.5=0.562...

For company B whose defective rate is 2%.
(0.60*100)/98 = 0.612...

Question 2:My answer is (B) 10 months.
The expected sale is around 10K units for the first month, increasing by 10K units every month.
Company A has a maximum monthly spare capacity for production of 50K pens.
Company B has a maximum monthly spare capacity for production of 100K pens.

At first, I thought the answer is 15 because both companies can be tapped. There is no answer choice of 15.
So, SmartPens can only pick one company. Company B it is.

Question 3: My answer is (C). This one is a bit tricky as we have very limited information about the scenario.
(A) How higher than initially estimated? If just 1% higher, there should be be the cause of alarm. If 100% higher, maybe. I eliminate (A) for the lack of clarity.
(B) Very attractive as it would reduce lost sales by 7k. But my reading is that the company is more concerned with higher investment for an untested tech: "The company fears that such a high upfront investment for an untested technology could be a big risk and may get rejected by the board." So the accelerated ramp-up time, while definitely a positive, may not be the game-changer.
(C) If the demand is more assured, the company's investment is well-justified. Even if they outsource to either company A or B, they still have to produce pens in-house after 10 months at most.
(D) How much more? Not a big deal if it is just 0.01 cent more per pen. Plus, this is new tech (with patent protection I assume). How can A quote the same produce for another company? Besides, an alternative option can be company B, not necessarily own factory.
(E) Can be easily eliminated as it helps justify outsourcing options.
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Company B has a monthly capacity of 50k units, while Company A has a monthly capacity of 100k units.
We know that the two companies cannot be contracted simultaneously in order for SmartPens Ltd to outsource, since it's written in card n. 1. As you said, we know that the demand for the new pen will progressively increase by 10k units each month. You can calculate the n. of months SmartPens Ltd can outsource, and therefore wait before building its own manufacturing plant, in two ways:

1) By assuming that they will rely on Company A until 100k monthly demanded units are reached (10 months): you will see that in month 11, with 110k total units demanded, SmartPens Ltd will not be able to rely on Company B, whose monthly capacity is of 50k units (therefore, Answer B is correct: 10 months).

2) By assuming they will rely on Company B until 50k monthly units are reached, to then switch to Company A: they would be able to outsource to Company B for the first 5 months (until 50k monthly units are demanded), to then switch to Company A, until the monthly demand reaches 100k units (month 10) (therefore, answer B is correct - 10 months).

Hope this helps :)
ECSUN345
zhanbo
Question 1:
Company A - 0.56/Unit
Company B - 0.61/Unit

For company A: Each unit costs 0.5+0.02=0.52
Its defective rate is 7.5%.
Order size does not change ultimate unit price, so just think of 100 pens.
(100 * 0.52)/92.5=0.562...

For company B whose defective rate is 2%.
(0.60*100)/98 = 0.612...

Question 2:My answer is (B) 10 months.
The expected sale is around 10K units for the first month, increasing by 10K units every month.
Company A has a maximum monthly spare capacity for production of 50K pens.
Company B has a maximum monthly spare capacity for production of 100K pens.

At first, I thought the answer is 15 because both companies can be tapped. There is no answer choice of 15.
So, SmartPens can only pick one company. Company B it is.

Question 3: My answer is (C). This one is a bit tricky as we have very limited information about the scenario.
(A) How higher than initially estimated? If just 1% higher, there should be be the cause of alarm. If 100% higher, maybe. I eliminate (A) for the lack of clarity.
(B) Very attractive as it would reduce lost sales by 7k. But my reading is that the company is more concerned with higher investment for an untested tech: "The company fears that such a high upfront investment for an untested technology could be a big risk and may get rejected by the board." So the accelerated ramp-up time, while definitely a positive, may not be the game-changer.
(C) If the demand is more assured, the company's investment is well-justified. Even if they outsource to either company A or B, they still have to produce pens in-house after 10 months at most.
(D) How much more? Not a big deal if it is just 0.01 cent more per pen. Plus, this is new tech (with patent protection I assume). How can A quote the same produce for another company? Besides, an alternative option can be company B, not necessarily own factory.
(E) Can be easily eliminated as it helps justify outsourcing options.

Could you please explain your answer for question #2? This part of the question, "The expected sale is around 10K units for the first month, increasing by 10K units every month." made me think that in Month 1 we'd sell 10K units, Month 2 - 20K, Month 3 - 30K, Month 4 - 40K etc. I'm not understanding how to relate Company B's capacity to this question.
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anirchat
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If you consider it can outsource to just one company, the answer should be 10-4 = 6 months as it would outsource to Company B .
And in case, if the company can outsource to both A and B, then the answer should be (10+5)-4 = 11.
Here, 4 months would be the number of months needed to set up the factory.
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2. Assuming that the company’s demand meets projections, what is the maximum number of months that the company can wait before it needs to start building its own factory?
5 Months
10 Months
11 Months
13 Months
16 Months
for this question they are asking how long company can wait, if we make use of both outsourcing companies we can get supply upto 15 months but it takes 4 months for company to build a plant so 15-4=11 is the answer for how long company can wait before it needs to start building its own factory so answer should be C
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Sajjad1994
Explanation

1. What is the overall cost per working unit for SmartPens Ltd from each of the companies A and B, assuming an order size of 10K units and that the defective units are thrown away by SmartPens Ltd? Make only two selections - one in each column

Overall cost for Company A

Initial cost = 0.5/unit
Transportation cost = 0.02
Total cost per unit = 0.52

Total cost of 10K units = 5200

Now minus the defective pieces = 10,000 - 750 = 9250

So basically 5200$ cost is for 9250 units that becomes 5200/9250 = 0.562 = 0.56

Overall cost for Company B

Initial cost = 0.6/unit
Transportation cost = 0
Total cost per unit = 0.60

Total cost of 10K units = 6,000

Now minus the defective pieces = 10,000 - 200 = 9800

So basically we 6000$ cost is for 9800 units that becomes 6000/9800 = 0.612 = 0.61

Answer:

Company A: 0.56/Unit
Company B: 0.61/Unit

2. Assuming that the company’s demand meets projections, what is the maximum number of months that the company can wait before it needs to start building its own factory?

This question asks about what maximum time a company can go for outsourcing and not starting its own plant.

Company A's plant capacity is 50K units so if SmartPens Ltd. go with company A it can only keep itself from starting its own plant for just five months but if it goes with company B that has a plant capacity of 100K units company can go for as long as 10 months so for a maximum time company can go with the outsourcing option for 10 months

Answer: B

3. Which of the following statements, if true, would most strongly motivate SmartPens to start investing in its own production unit from the beginning?

A. Defect rate for Company A and Company B products are higher than initially estimated

We don't have enough data about the actual defect rates so we can not say anything with surety. This is an example of a could be true answer choice while we are looking for a must be true answer choice

B. Development of new unit would take around two months, instead of four months as initially thought.

An upfront payment that is needed for the start of the plant is the main issue of concern as we are not looking for the time period.

C. An initial survey by a well-respected company has suggested strong demand for the new pen.

A strong demand suggests that the demand would be far greater than speculated so this must be a deciding factor for the company to go for its plant. The company is hesitant to start the plant in the event of no demand, so if there is no issue with the demand of the pen then the company will go for its own plant rather sourcing it out.

D. Company A charges less per-unit to other customers than its quote for SmartPens.

This is the opposite.

E. Company A and Company B are trusted producers of pens for over a decade.

This is also the opposite.

Answer: C
For Q2.

how can he wait 10 months. Starting the new unit takes 4 months. If he starts after 10 month, how will he fulfill the demand for months 11, 12, 13 and 14 as the production will start after 4 months.

Kindly explain