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 .

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- Stne