Linear Programming Question 45
A Firm makes pents and shirts. A shirt takes 2 hour on machine and 3 hour of man labour while a pent takes 3 hour on machine and 2 hour of man labour. In a week there are 70 hour machine and 75 hour of man labour available. If the firm determine to make x shirts and y pents per week, then for this the linear constraints are
Options:
A) $ x\ge 0,\ y\ge 0,\ 2x+3y\ge 70,\ 3x+2y\ge 75 $
B) $ x\ge 0,\ y\ge 0,\ 2x+3y\le 70,\ 3x+2y\ge 75 $
C) $ x\ge 0,\ y\ge 0,\ 2x+3y\ge 70,\ 3x+2y\le 75 $
D) $ x\ge 0,\ y\ge 0,\ 2x+3y\le 70,\ 3x+2y\le 75 $
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Answer:
Correct Answer: D
Solution:
Type of items Working time on machine Manual labour Shirt (x) Pent (y) 2 hours 3 hours 3 hours 2 hours Availability 70 hours 75 hours Linear constraints are $ 2x+3y\le 70,3x+2y\le 75 $ .
BETA
