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 M1 and M2 . For A, machines M1 and M2 takes 1 minute and 2 minute respectively and for B, machines M1 and M2 takes the time 1 minute each. The machines M1 , M2 , are no 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 ≥ 0, y ≥ 0 , are

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 M1 and M2 . For A, machines M1 and M2 takes 1 minute and 2 minute respectively and for B, machines M1 and M2 takes the time 1 minute each. The machines M1 , M2 , are no 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 ≥ 0, y ≥ 0 , are (A) x + y ≤ 480 , 2x + y ≤ 600 (B)  x + y ≤ 8 , 2 x + y ≤ 10 (C)  x + y ≥ 480 , 2x + y ≥ 600 (D) x + y ≤ 8 , 2 x + y ≥ 10

Tardigrade Admin · Accepted Answer

Obviouxsly x + y ≤ (8 × 60 - 480) and 2x + y ≤ ( 10 × 60 - 600)

$x + y \leq 480, 2 x + y \leq 600$

$x + y \leq 8, 2 x + y \leq 10$

$x + y \geq 480, 2 x + y \geq 600$

$x + y \leq 8, 2 x + y \geq 10$

Obviouxsly $x + y \leq (8 \times 60 - 480)$ and $2 x + y \leq (10 \times 60 - 600)$

x+y≤480,2x+y≤600

x+y≤8,2x+y≤10

x+y≥480,2x+y≥600

x+y≤8,2x+y≥10

Obviouxsly x+y≤(8×60−480) and 2x+y≤(10×60−600)

$x + y \leq 480, 2 x + y \leq 600$

$x + y \leq 8, 2 x + y \leq 10$

$x + y \geq 480, 2 x + y \geq 600$

$x + y \leq 8, 2 x + y \geq 10$

Obviouxsly $x + y \leq (8 \times 60 - 480)$ and $2 x + y \leq (10 \times 60 - 600)$