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# A certain clothing manufacturer makes only two types of men's blazer:

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Math Expert
Joined: 02 Sep 2009
Posts: 51185
A certain clothing manufacturer makes only two types of men's blazer:  [#permalink]

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Updated on: 30 Nov 2017, 04:33
1
00:00

Difficulty:

35% (medium)

Question Stats:

80% (02:23) correct 20% (02:02) wrong based on 50 sessions

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Tough and Tricky questions: Word Problems.

A certain clothing manufacturer makes only two types of men's blazer: cashmere and mohair. Each cashmere blazer requires 4 hours of cutting and 6 hours of sewing. Each mohair blazer requires 4 hours of cutting and 2 hours of sewing. The profit on each cashmere blazer is \$40 and the profit on each mohair blazer is \$35. How many of each type of blazer should the manufacturer produce each week in order to maximize its potential weekly profit on blazers?

(1) The company can afford a maximum of 200 hours of cutting per week and 200 hours of sewing per week.
(2) The wholesale price of cashmere cloth is twice that of mohair cloth.

Kudos for a correct solution.

_________________

Originally posted by Bunuel on 10 Nov 2014, 04:08.
Last edited by Bunuel on 30 Nov 2017, 04:33, edited 1 time in total.
Manager
Joined: 21 Jul 2014
Posts: 125
Re: A certain clothing manufacturer makes only two types of men's blazer:  [#permalink]

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10 Nov 2014, 06:57
Bunuel wrote:

Tough and Tricky questions: Word Problems.

A certain clothing manufacturer makes only two types of men's blazer: cashmere and mohair. Each cashmere blazer requires 4 hours of cutting and 6 hours of sewing. Each mohair blazer requires 4 hours of cutting and 2 hours of sewing. The profit on each cashmere blazer is \$40 and the profit on each mohair blazer is \$35. How many of each type of blazer should the manufacturer produce each week in order to maximize its potential weekly profit on blazers?

(1) The company can afford a maximum of 200 hours of cutting per week and 200 hours of sewing per week.
(2) The wholesale price of cashmere cloth is twice that of mohair cloth.

Kudos for a correct solution.

I think this question is tricky because it is tempting to start doing the calculations. Because it is a data sufficiency question, really all you need to know is whether you have enough information to find the answer. No need to actually calculate how many of each the manufacturer should produce.

So here's how I set up the problem:

I know profit per product, I know effort per product by activity. All I need to know is capacity of each activity.

Statement 1: Gives me capacity for each activity. Therefore I should be able to figure out how to maximize profitability.

Eliminate B, C and E.

Statement 2: Relative wholesale pricing is irrelevant since we are already given the profit per product in the premise of the problem. This statement is insufficient.

Eliminate D.

Manager
Joined: 10 Sep 2014
Posts: 97
Re: A certain clothing manufacturer makes only two types of men's blazer:  [#permalink]

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10 Nov 2014, 10:49
I agree I also got A. Took me around 1min30sec.

Profit
cashmere 4hr/cutting 6hr/sewing \$40
mohair 4hr/cutting 2hr/sewing \$35
We need to find out how many of each type of blazer they should sell in order to maximize profits. In order to find this answer, we need to find out how many hours they work on each of these tasks.

Statement 1: sufficient
Knowing the maximum # of hours they can devote and already given the info on how many hours each task takes for the 2 types of blazers, we can use this statement to figure out how to maximize profit which is what we are being asked. No need to calculate since this is data sufficiency. Eliminate answer choices B, C, and E.

Statement 2: not sufficient
Doesn't give us any relevant info.

Director
Joined: 27 May 2012
Posts: 631
Re: A certain clothing manufacturer makes only two types of men's blazer:  [#permalink]

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30 Nov 2017, 03:54
Bunuel wrote:

Tough and Tricky questions: Word Problems.

A certain clothing manufacturer makes only two types of men's blazer: cashmere and mohair. Each cashmere blazer requires 4 hours of cutting and 6 hours of sewing. Each mohair blazer requires 4 hours of cutting and 2 hours of sewing. The profit on each cashmere blazer is \$40 and the profit on each mohair blazer is \$35. How many of each type of blazer should the manufacturer produce each week in order to maximize its potential weekly profit on blazers?

(1) The company can afford a maximum of 200 hours of cutting per week and 200 hours of sewing per week.
(2) The wholesale price of cashmere cloth is twice that of mohair cloth.

Kudos for a correct solution.

Dear Moderator ,
Please provide OA and OE .
I also chose A .
The time for each Blazer is limited by its slowest process.
So for Cashmere , 6 hours of sewing will decide how many of these can be made.
For Mohair 4 hours of cutting will decide how many of these can be made.
So in 200 hours of cutting and sewing , max 33 cashmere or 50 Mohair can be made.
Cashmere profit = 33*40=1320 , Mohair profit = 50*35=1750 , hence it is more profitable to make Mohair Blazers.
( However I am not sure if both the blazers can be combined for even greater profit )

Statement B- since we are already given the profit , we do not need the purchase price .
_________________

- Stne

Re: A certain clothing manufacturer makes only two types of men's blazer: &nbs [#permalink] 30 Nov 2017, 03:54
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