Write the resource constraints for this situation: A small stereo manufacturer makes a receiver and a CD player. Each receiver (x) takes eight hours to assemble and eight hours to test and ship. Each CD player (y) takes 15 hours to assemble and two hours to test and ship. The profit on each receiver is $30 and the profit on each CD player is $50. There are 160 hours available in the assembly department and 22 hours available in the testing and shipping department.
A) 8x + 1y$\le$ 30, 15x + 2y $\le$50, x $\ge$ 0, y $\ge$ 0
B) 8x + 1y $\le$ 160, 15x + 2y $\le$ 22, x $\ge$ 0, y $\ge$ 0
C) 8x + 15y $\le$ 30, 8x + 2y $\le$50, x $\ge$ 0, y $\ge$ 0
D) 8x + 15y $\le$ 160, 8x + 2y $\le$22, x $\ge$ 0, y $\ge$ 0

Question

Write the resource constraints for this situation: A small stereo manufacturer makes a receiver and a CD player. Each receiver (x) takes eight hours to assemble and eight hours to test and ship. Each CD player (y) takes 15 hours to assemble and two hours to test and ship. The profit on each receiver is $30 and the profit on each CD player is $50. There are 160 hours available in the assembly department and 22 hours available in the testing and shipping department.
A) 8x + 1y$\le$ 30, 15x + 2y $\le$50, x $\ge$  0, y $\ge$  0
B) 8x + 1y $\le$ 160, 15x + 2y $\le$ 22, x $\ge$  0, y $\ge$  0
C) 8x + 15y $\le$ 30, 8x + 2y $\le$50, x $\ge$ 0, y $\ge$  0
D) 8x + 15y $\le$ 160, 8x + 2y $\le$22, x $\ge$  0, y $\ge$  0

Quizplus · Accepted Answer

The correct constraints are based on the assembly and testing/shipping hours available. For assembly, 8 hours per receiver and 15 hours per CD player with 160 hours available gives 8x + 15y ≤ 160. For testing and shipping, 8 hours per receiver and 2 hours per CD player with 22 hours available gives 8x + 2y ≤ 22. The non-negativity constraints are x ≥ 0 and y ≥ 0.

Write the Resource Constraints for This Situation: a Small Stereo ≤\le≤

Write the Resource Constraints for This Situation: a Small Stereo $\le$