Optimization

Question

lite manufactures two types of light: type A is a solar-powered light; type B requires batteries. In one day, the company can make at most 55 of type A and 65 of type B. Type A requires 4 hours to produce and type B requires 2 hours to produce. The production team can work a total of 240 hours each day.

Write a system of linear inequalities to model this situation.

Answer 1

Suppose the total time (each day) for working type A is X, since type A requires 4 hours to produce, so total number of type A would be X/4, they can make at most 55 of type A. x/4 is less than or equal to 55.

 

The total time (each day) for working type B is 240 - X, because they can work a total (type A + type B) of 240 hours each day, since type B requires 2 hours to produce, and they can make at most 65 of type B. (240 - x)/2 is less than or equal to 65.

 

x/4 <= 55

(240-x)/2 <= 65