Linear Programming Question 104

Question: A company manufactures two types of products A and B. The storage capacity of its godown is 100 units. Total investment amount is Rs. 30,000. The cost price of A and B are Rs. 400 and Rs. 900 respectively. If all the products have sold and per unit profit is Rs. 100 and Rs. 120 through A and B respectively. If x units of A and y units of B be produced, then two linear constraints and iso-profit line are respectively

Options:

A) $ x+y=100;\ 4x+9y=300,\ 100x+120y=c $

B) $ x+y\le 100;\ 4x+9y\le 300,\ x+2y=c $

C) $ x+y\le 100;\ 4x+9y\le 300,\ 100x+120y=c $

D) $ x+y\le 100;\ 9x+4y\le 300,\ x+2y=c $

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Answer:

Correct Answer: C

Solution:

$ x+y\le 100,400x+900y\le 30000 $ or
$ 4x+9y\le 300 $ and $ 100x+120y=c $ .