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The Mouse's House is a popular animal preserve and amusement park in S

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Sajjad1994
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The Mouse's House is a popular animal preserve and amusement park in S [#permalink] New post   18 Sep 2022, 00:31
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The Mouse's House is a popular animal preserve and amusement park in San Placente, California. The park manufactures replica elephant hats each month to meet the expected demand for that month: for example, hats expected in February are manufactured in February. Further, park policy is to retain a reserve stock of at least 20% of monthly demand to serve as the initial supply for the subsequent month, and which is put toward demand in the subsequent month. Each replica elephant hat takes ten labor hours to produce, each working day is exactly eight hours, and there are 50 hats on hand to serve as the initial supply on January 1st.
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1. For each of the following statements, select Yes if the statement accurately reflects the information given in the tabs. Otherwise, select No.
Yes No
Working with a team of 20 workers in hat production, the Mouse House will begin February with exactly 100 hats in inventory.
If beginning inventory levels are met, the Mouse House only needs 8 workers to meet its production totals to satisfy its April sales and May initial inventory needs.
If the Mouse's House has only a team of 20 workers, it will fall more than 150 units short of expected demand in February.
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Working with a team of 20 workers in hat production, the Mouse House will begin February with exactly 100 hats in inventory.: No If beginning inventory levels are met, the Mouse House only needs 8 workers to meet its production totals to satisfy its April sales and May initial inventory needs.: Yes If the Mouse's House has only a team of 20 workers, it will fall more than 150 units short of expected demand in February.: Yes

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Garvesh
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Re: The Mouse's House is a popular animal preserve and amusement park in S [#permalink] New post   05 Mar 2024, 13:31
Can you please provide official solution.
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The Mouse's House is a popular animal preserve and amusement park in S [#permalink] New post   06 Mar 2024, 10:16
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Garvesh wrote:
Can you please provide official solution.

OE is not available at my disposal.

Explanation


Statement 1: Working with a team of 20 workers in hat production, the Mouse House will begin February with exactly 100 hats in inventory.

20 workers multiplied by 22 working days multiplied by 8 working hours a day = 20*22*8 = 3520 total hours, and each hat takes 10 hours, so 352 hats can be made in January, and add the initial supply of 50 hats, so the total hats in January are 352+50 = 402. Minus 300 hats are in demand in January. Hence, the month of Feb will start with 102 hats. The answer to the first question is No.

Answer: No

Statement 2: If beginning inventory levels are met, the Mouse House only needs 8 workers to meet its production totals to satisfy its April sales and May initial inventory needs.

In April, 21 working days multiplied by 8 working hours and 8 workers = 21*8*8 = 1344, so a total of 134 hats can be made in April. 80 hats are already available from the March demand of 400*0.20. Hence, the total number of hats available in April is equal to 134+80 = 214 Hence, it can meet the need for 100 hats in April and 20 hats in the beginning inventory of May. The answer to the second statement is Yes.

Answer: Yes

Statement 3: If the Mouse's House has only a team of 20 workers, it will fall more than 150 units short of expected demand in February.

19 working days multiplied by 8 working hours a day and 20 workers available = 19*20*8 = 3040 = 304 hats can be made in Feb. while demand is 500, hence it will fall short of more than 150 hats in Feb. with 20 workers available.

Answer: Yes
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Re: The Mouse's House is a popular animal preserve and amusement park in S [#permalink] New post   04 Apr 2024, 01:44
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­What about initial inventory of 102 hats for february as there are 20 workers... Total will be 304 + 102 = 406 hats in hand. (Answer should be no in that case). Kindly clarify.
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Re: The Mouse's House is a popular animal preserve and amusement park in S [#permalink] New post   07 Apr 2024, 01:40
Sajjad1994 wrote:
Garvesh wrote:
Can you please provide official solution.

OE is not available at my disposal.

Explanation


Statement 1: Working with a team of 20 workers in hat production, the Mouse House will begin February with exactly 100 hats in inventory.

20 workers multiplied by 22 working days multiplied by 8 working hours a day = 20*22*8 = 3520 total hours, and each hat takes 10 hours, so 352 hats can be made in January, and add the initial supply of 50 hats, so the total hats in January are 352+50 = 402. Minus 300 hats are in demand in January. Hence, the month of Feb will start with 102 hats. The answer to the first question is No.

Answer: No

Statement 2: If beginning inventory levels are met, the Mouse House only needs 8 workers to meet its production totals to satisfy its April sales and May initial inventory needs.

In April, 21 working days multiplied by 8 working hours and 8 workers = 21*8*8 = 1344, so a total of 134 hats can be made in April. 80 hats are already available from the March demand of 400*0.20. Hence, the total number of hats available in April is equal to 134+80 = 214 Hence, it can meet the need for 100 hats in April and 20 hats in the beginning inventory of May. The answer to the second statement is Yes.

Answer: Yes

Statement 3: If the Mouse's House has only a team of 20 workers, it will fall more than 150 units short of expected demand in February.

19 working days multiplied by 8 working hours a day and 20 workers available = 19*20*8 = 3040 = 304 hats can be made in Feb. while demand is 500, hence it will fall short of more than 150 hats in Feb. with 20 workers available.

Answer: Yes
­

­Shouldn't we assume a 20% inventory for Feb? Tht way the target would be 400 and not 500.
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The Mouse's House is a popular animal preserve and amusement park in S [#permalink] New post   Updated on: 08 Apr 2024, 23:30
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saurabhbajpai wrote:
Sajjad1994 wrote:
Garvesh wrote:
Can you please provide official solution.

OE is not available at my disposal.

Explanation


Statement 1: Working with a team of 20 workers in hat production, the Mouse House will begin February with exactly 100 hats in inventory.

20 workers multiplied by 22 working days multiplied by 8 working hours a day = 20*22*8 = 3520 total hours, and each hat takes 10 hours, so 352 hats can be made in January, and add the initial supply of 50 hats, so the total hats in January are 352+50 = 402. Minus 300 hats are in demand in January. Hence, the month of Feb will start with 102 hats. The answer to the first question is No.

Answer: No

Statement 2: If beginning inventory levels are met, the Mouse House only needs 8 workers to meet its production totals to satisfy its April sales and May initial inventory needs.

In April, 21 working days multiplied by 8 working hours and 8 workers = 21*8*8 = 1344, so a total of 134 hats can be made in April. 80 hats are already available from the March demand of 400*0.20. Hence, the total number of hats available in April is equal to 134+80 = 214 Hence, it can meet the need for 100 hats in April and 20 hats in the beginning inventory of May. The answer to the second statement is Yes.

Answer: Yes

Statement 3: If the Mouse's House has only a team of 20 workers, it will fall more than 150 units short of expected demand in February.

19 working days multiplied by 8 working hours a day and 20 workers available = 19*20*8 = 3040 = 304 hats can be made in Feb. while demand is 500, hence it will fall short of more than 150 hats in Feb. with 20 workers available.

Answer: Yes
­

­Shouldn't we assume a 20% inventory for Feb? Tht way the target would be 400 and not 500.

­I understand the confusion, but 20% of the demand in Feb has to be reserved for March. 20% of 500 is 100 hats, so in reality we have 102 (reserve from Jan) + 304 (production for Feb) - 100 (reserved for March) = 306 hats, which is more than 150 units short of 500 hats expected. 

Hope this clarifies!­

Originally posted by joshmun2013 on 07 Apr 2024, 05:58.
Last edited by joshmun2013 on 08 Apr 2024, 23:30, edited 1 time in total.
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Nidhijain94
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The Mouse's House is a popular animal preserve and amusement park in S [#permalink] New post   08 Apr 2024, 22:55
­@joshmun2023 why you took 304*0.2 when inventory is at least 20% of the demand  not the 20% of the production!!­
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Re: The Mouse's House is a popular animal preserve and amusement park in S [#permalink] New post   08 Apr 2024, 23:29
Nidhijain94 wrote:
­@joshmun2023 why you took 304*0.2 when inventory is at least 20% of the demand  not the 20% of the production!!­

­You're right, editted!
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Re: The Mouse's House is a popular animal preserve and amusement park in S [#permalink]
08 Apr 2024, 23:29
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