a. What LP model is the best describe from the given problem? b. How many pairs of downhill skis should the company produce to maximize the profit? c. How many pairs of crosscounty skis should the company produce to maximize the profit? d. How much is the optimal maximum profit?
a. What LP model is the best describe from the given problem? b. How many pairs of downhill skis should the company produce to maximize the profit? c. How many pairs of crosscounty skis should the company produce to maximize the profit? d. How much is the optimal maximum profit?
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter3: Introduction To Optimization Modeling
Section: Chapter Questions
Problem 32P
Related questions
Question
a. What LP model is the best describe from the given problem?
b. How many pairs of downhill skis should the company produce to maximize the profit?
c. How many pairs of crosscounty skis should the company produce to maximize the profit?
d. How much is the optimal maximum profit?
Transcribed Image Text:Charot Polar Products makes downhill and crosscountry skis. A pair of downhill skis requires
1 man-hour for cutting, 2 man-hours for shaping and 1 man-hour for finishing while a pair of
crosscountry skis requires 1 man-hour for cutting, 1 man-hour for shaping and 3 man-hours
for finishing. Each day the company has available 50 man-hours for cutting, 60 man-hours
for shaping and 58 man-hours for finishing. How many pairs of each type of ski should the
company manufacture each day in order to maximize profit if a pair of downhill skis yields a
profit of 5 and a pair of cross-country skis yields a profit of 4? (Let x be the pairs of downhill
skis and y be the pairs of crosscounty skis.)
2x+y=60
(0, 60)
600
50
40
30
8
20.
10
0
-10
(0, 50)
(0, 19.33)
(0, 0)
(10, 40)
10
20
(24.4, 11.2)
(30, 0)
30
40
(46, 4)
(50,0) (58, 0)
60
70
x+3y=58
x + y = 50
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