are 168 and 18, respectively. Find the set of feasible solutions graphically for the number of each type of ski that can be produced.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 59P
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Question
A manufacturing company makes two types of water skis, a trick ski and a slalom
ski. The trick ski requires 12 labor-hours for fabricating and 1 labor-hour for
finishing. The slalom ski requires 7 labor-hours for fabricating and 1 labor-hour for
finishing. The maximum labor-hours available per day for fabricating and finishing
are 168 and 18, respectively. Find the set of feasible solutions graphically for the
number of each type of ski that can be produced.
If x is the number of trick skis and y is the number of slalom skis produced per day,
write a system of linear inequalities that indicates appropriate restraints on x and y.
Write an inequality for the constraint on fabricating time. Complete the inequality
below.
168
C
Ау
25-
20-
15-
10-
10
15
20
X
Transcribed Image Text:A manufacturing company makes two types of water skis, a trick ski and a slalom ski. The trick ski requires 12 labor-hours for fabricating and 1 labor-hour for finishing. The slalom ski requires 7 labor-hours for fabricating and 1 labor-hour for finishing. The maximum labor-hours available per day for fabricating and finishing are 168 and 18, respectively. Find the set of feasible solutions graphically for the number of each type of ski that can be produced. If x is the number of trick skis and y is the number of slalom skis produced per day, write a system of linear inequalities that indicates appropriate restraints on x and y. Write an inequality for the constraint on fabricating time. Complete the inequality below. 168 C Ау 25- 20- 15- 10- 10 15 20 X
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