Linear Programming Question 31

Question: A firm produces two types of products A and B. The profit on both is Rs. 2 per item. Every product requires processing on machines $ M_1 $ and $ M_2 $ . For A, machines $ M_1 $ and $ M_2 $ takes 1 minute and 2 minute respectively and for B, machines $ M_1 $ and $ M_2 $ takes the time 1 minute each. The machines $ M_1,\ M_2 $ are not available more than 8 hours and 10 hours, any of day, respectively. If the products made x of A and y of B, then the linear constraints for the L.P.P. except $ x\ge 0,\ y\ge 0 $ , are

Options:

A) $ x+y\le 480,\ 2x+y\le 600 $

B) $ x+y\le 8,\ 2x+y\le 10 $

C) $ x+y\ge 480,\ 2x+y\ge 600 $

D) $ x+y\le 8,\ 2x+y\ge 10 $

Show Answer

Answer:

Correct Answer: A

Solution:

Obviously $ x+y\le (8\times 60=480) $ and $ 2x+y\le (10\times 60=600) $ .