Question

A factory produces two products A and B. In the manufacturing of product A, the machine and the carpenter requires 3 hour each and in manufacturing of product B, the machine and carpenter requires 5 hour and 3 hour respectively. The machine and carpenter work at most 80 hour and 50 hour per week respectively. The profit on A and B is Rs. 6 and 8 respectively. If profit is maximum by manufacturing x and y units of A and B type product respectively, then for the funcxtion $6x + 8y$ the constraints are

• A. $x \geq 0, y \geq 0, 5x + 3y \leq 80, 3x + 2y \leq 50 $
• B. $x \geq 0, y \geq 0, 3x + 5y \leq 80, 3x + 2y \leq 50 $
• C. $x \geq 0, y \geq 0, 3x + 5y \leq 80, 2x + 3y \geq 50 $
• D. $x \geq 0, y \geq 0, 5x + 3y \geq 80, 3x + 2y \geq 50 $

Answer 1

Answer: (B)

Obviously $x, y \geq 0, 3x + 5y \leq 80, 3x + 3y \leq 50. $