Jenny Company produces two types of pants: long pants and short pants. The cost of making a pair of short pants and a pair of long pants are RM 75 and RM 95 respectively. In one week, the company must produce at least 150 pants of cach type. The minimum weekly production is 500 pants. The short pants is sold for RM 120 cach and the long pants for RM 150 cach. Using the graphical method, find: a) The number of short pants and long pants to be made in a week in order to minimize the total production cost. b) The profit made at the minimum weekly production cost.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter6: Optimization Models With Integer Variables
Section6.4: Fixed-cost Models
Problem 16P
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NO. 5
Jenny Company produces two types of pants: long pants and short pants. The cost of making a pair
of short pants and a pair of long pants are RM 75 and RM 95 respectively. In one week, the
company must produce at least 150 pants of cach type. The minimum weekly production is 500
pants. The short pants is sold for RM 120 cach and the long pants for RM 150 cach. Using the
graphical method, find:
a) The number of short pants and long pants to be made in a week in order to minimize the
total production cost.
b) The profit made at the minimum weekly production cost.
Transcribed Image Text:NO. 5 Jenny Company produces two types of pants: long pants and short pants. The cost of making a pair of short pants and a pair of long pants are RM 75 and RM 95 respectively. In one week, the company must produce at least 150 pants of cach type. The minimum weekly production is 500 pants. The short pants is sold for RM 120 cach and the long pants for RM 150 cach. Using the graphical method, find: a) The number of short pants and long pants to be made in a week in order to minimize the total production cost. b) The profit made at the minimum weekly production cost.
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