Write the Resource Constraints for This Situation: a Small Stereo

question 58

Multiple Choice

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  30, 15x + 2y  50, x  0, y  0
• B) 8x + 1y  160, 15x + 2y  22, x  0, y  0
• C) 8x + 15y  30, 8x + 2y  50, x  0, y  0
• D) 8x + 15y  160, 8x + 2y  22, x  0, y  0

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Definitions:

Zone of Saturation

The area beneath the Earth's surface where all the pores and fractures of the rock are filled with water.

Permeability

A measure of how easily fluids can flow through a porous material, such as rocks or soil, due to the presence of interconnected void spaces.

Loosely Cemented Sand

Sand particles that are weakly bound together by a mineral matrix, which can easily erode or change shape under physical stress.

Volcanic Rock

Rock formed from magma erupted from a volcano or solidified on the surface of the earth.