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M05-35

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M05-35 [#permalink]

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Three copy machines are making copies of the same document. Copier A makes 12 copies per minute, Copier B makes 7, and Copier C makes 19. It costs 8 cents/copy for Copier A, 5 cents/copy for Copier B, and 11 cents/copy for Copier C. If a separate attendant has to be hired for each copier and be paid $30 per hour (you have to pay $60 if the attendant works for one hour and one minute), which copier alone will be the most efficient choice to make 1,200 copies?

A. Copier A
B. Copier B
C. Copier C
D. A and B
E. A and C
[Reveal] Spoiler: OA

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Three copy machines are making copies of the same document. Copier A makes 12 copies per minute, Copier B makes 7, and Copier C makes 19. It costs 8 cents/copy for Copier A, 5 cents/copy for Copier B, and 11 cents/copy for Copier C. If a separate attendant has to be hired for each copier and be paid $30 per hour (you have to pay $60 if the attendant works for one hour and one minute), which copier alone will be the most efficient choice to make 1,200 copies?

A. Copier A
B. Copier B
C. Copier C
D. A and B
E. A and C


To find the total cost of copying 1,200 pages, we need to know: 1. How long it takes for an attendant to copy 1,200 pages on each copier. 2. How much it costs per job on each of the machines.

Cost of Time:

A \(\frac{1200}{12} = 100\) mins (exact) costs: $60

B \(\frac{1200}{7} = 170\) mins (approx) costs: $90

C \(\frac{1200}{19} = 63\) mins (approx) costs: $60

Price per Job:

A \(1200*$0.08=$96\)

B \(1200*$0.05=$60\)

C \(1200*$0.11=$132\)

Total cost including attendant's pay:

A \(96+60 = 156\)

B \(60+90 = 150\)

C \(132+60 = 192\)

The best choice is Copier B.


Answer: B
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New post 16 Jan 2015, 12:13
Hi Bunuel,

In this case...we figured out the costs associated with the individual printers, and that itself took some time. What about options D and E? are there some generalizations regarding the rate of 2 workers together such as: unless the rate of 2 workers together working together is more than double the rate of any of the individuals....they are better off working alone? would this be a fair generalization?

Thanks,

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Re: M05-35 [#permalink]

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amishra1 wrote:
Hi Bunuel,

In this case...we figured out the costs associated with the individual printers, and that itself took some time. What about options D and E? are there some generalizations regarding the rate of 2 workers together such as: unless the rate of 2 workers together working together is more than double the rate of any of the individuals....they are better off working alone? would this be a fair generalization?

Thanks,


You can eliminate D and E immediately because the question asks "which copier alone will be the most efficient choice to make 1,200 copies?"

This problem is not difficult to understand. However, you have to recognize that it will be very time consuming. Depending on where you are at on the test(in terms of the time you have left and your mental state), you might need to make a random guess among A, B, and C to move on.

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Re: M05-35 [#permalink]

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New post 20 Oct 2015, 03:09
Hi Bunnel,

I didnt get how yoy got $90 for 170min? can you please explain me to clear my doubt?

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Re: M05-35 [#permalink]

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New post 12 Nov 2015, 22:41
I don't get why this problem is 95% hard rated. "Alone" eliminates right away D and E. Machine C is way too slow and expensive so choice C out. You can spend a minute and calculate to rule out whether B or A however at short reasoning B looks preferable.

Why? Because it is faster when the time matters - attendat gets paid for the time spent and every additional minute could count. Although B is more costly in terms of $/1 page - in time constraints I would bet on B without calculation and continue.
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Re: M05-35 [#permalink]

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New post 26 May 2016, 02:48
chaitanyakankanaka wrote:
Hi Bunnel,

I didnt get how yoy got $90 for 170min? can you please explain me to clear my doubt?

chaitanyakankanaka:
Every 60mins the attendant get $30, next min he'll get extra $30 (cost@60mins = $30, cost@61mins = 30 + 30 = $60)

So, 170mins = 60m + 60m + 50m = 30 + 30 + 30 = $90.
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New post 10 Feb 2017, 04:23
shasadou wrote:
I don't get why this problem is 95% hard rated. "Alone" eliminates right away D and E. Machine C is way too slow and expensive so choice C out. You can spend a minute and calculate to rule out whether B or A however at short reasoning B looks preferable.

Why? Because it is faster when the time matters - attendat gets paid for the time spent and every additional minute could count. Although B is more costly in terms of $/1 page - in time constraints I would bet on B without calculation and continue.


Why is Machine C way too slow ? I think it's the fastest one with 19 copies per minute ...

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Re: M05-35 [#permalink]

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New post 30 Sep 2017, 13:44
1200/19 is approximately 63 not approximately 61. Also, to be more GMAT like, it should be explicitly stated that rate units stay the same the whole time. Other than that, good question and one that really tests how quickly you can do arithmetic.

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New post 01 Oct 2017, 04:53
grassmonkey wrote:
1200/19 is approximately 63 not approximately 61. Also, to be more GMAT like, it should be explicitly stated that rate units stay the same the whole time. Other than that, good question and one that really tests how quickly you can do arithmetic.


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New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
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Re: M05-35   [#permalink] 01 Oct 2017, 04:53
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