Linear-Programming Question 140

Question: A printing company prints two types of magazines A and B. The company earns 10 and 15 on each magazine A and B respectively. These are processed on three machines I, II & III and total time in hours available per week on each machine is as follows:

Magazine $ \to $ A(x) B(y) Time available $ \downarrow $ Machine I 2 3 36 II 5 2 50 III 2 6 60 The number of constraints is

Options:

A) 3

B) 4

C) 5

D) 6

Show Answer

Answer:

Correct Answer: C

Solution:

[c] Constraints are $ 2x+3y\le 36;5x+2y\le 50; $ $ 2x+6y\le 60,x\ge 0,y\ge 0 $
$ \therefore $ The number of constraints are 5.