It is currently 25 Jun 2017, 17:42

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# A certain clothing manufacturer makes only two types of

Author Message
GMAT Club Legend
Joined: 07 Jul 2004
Posts: 5043
Location: Singapore
A certain clothing manufacturer makes only two types of [#permalink]

### Show Tags

13 Mar 2005, 23:13
00:00

Difficulty:

(N/A)

Question Stats:

100% (00:00) correct 0% (00:00) wrong based on 4 sessions

### HideShow timer Statistics

This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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.
Manager
Joined: 05 Feb 2005
Posts: 116
Location: San Jose

### Show Tags

14 Mar 2005, 00:41
A.

Lets say X type1 and Y type2.

1. 4X + 4Y <= 200
X + Y <= 50

2. 2X + 6Y <= 200
X + 3Y <= 100

2Y <= 50
Y <= 25
X <= 25

Total profit, 40X + 35Y, is maximum when both X = Y = 25.
_________________

Anyone who has never made a mistake has never tried anything new. -Albert Einstein.

Manager
Joined: 15 Feb 2005
Posts: 246
Location: Rockville

### Show Tags

14 Mar 2005, 13:07
I say it is E will explain later if i am right
Manager
Joined: 11 Jan 2005
Posts: 57
Location: Mexico City

### Show Tags

14 Mar 2005, 14:43
A

keep in mind that for 2) we already know the profit so the cost of the cloth is useless. easy elimination.
VP
Joined: 13 Jun 2004
Posts: 1115
Location: London, UK
Schools: Tuck'08

### Show Tags

14 Mar 2005, 21:49
Tough one ywilfred

I would go for E
GMAT Club Legend
Joined: 07 Jul 2004
Posts: 5043
Location: Singapore

### Show Tags

15 Mar 2005, 11:17
I'll leave this problem up for another day to see if anyone else wants to have a go. After that, i'll release the OA
GMAT Club Legend
Joined: 07 Jul 2004
Posts: 5043
Location: Singapore

### Show Tags

16 Mar 2005, 04:56
OA is A
VP
Joined: 13 Jun 2004
Posts: 1115
Location: London, UK
Schools: Tuck'08

### Show Tags

16 Mar 2005, 18:01
Great problem ywilfred
I am gonna have a look on mckenna post to see how he found it out...
Manager
Joined: 07 Mar 2005
Posts: 179

### Show Tags

18 Apr 2005, 13:59
i have taken operations maagment class ,,,,this is a linear programing topic,,,,,,,,,,,i would sujjest tht make it a thumb rule tht...............if ther are two conditions and 1 maximizing ful eqution

conditions 4b+6w<200
6b+2W<200
maxim function 40x+35y.........

the points of maximization can be calculated...........

just remeber this and follow yr options.......

all the best!
c u at harward
_________________

i hate when people do'nt post the OA, it leaves in guessing!!!!

VP
Joined: 25 Nov 2004
Posts: 1483

### Show Tags

18 Apr 2005, 22:18
ywilfred wrote:
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.
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 is twice that of mohair.

nice problem, ywilfred. agree with A. time taken to make per blazer and profit per blazer are given. so A is sufficient as you have already provided the information, however i havenot solved the problem.
Re: DS   [#permalink] 18 Apr 2005, 22:18
Display posts from previous: Sort by