Linear Programming Worksheet Ii

Linear Programming

Advanced Topics

Ace Rubber Company manufactures two types of tires: Model P, the premium and Model R, the regular. To make one Model P tire, it requires 2 hours on Machine A and 4 hours on Machine B. On the other hand, to make one Model R Tire, it takes 9 hours on Machine A and 3 hours on Machine B. Find the number of Model P and Model R tires to be made in the coming week if Machine A is available at most 30 hours and Machine B is available at most 19 hours.

Machine A Machine B

Model P tire 2 hours/tire 4 hours/tire

Model R tire 9 hours/tire 3 hours/tire

Hours Available 36 42

Let x = the number of Model P tires and y = the number of Model R tires. Write the inequalities for this problem:

Graph on graph paper the inequalities for this problem and label the corner points.

If Ace Rubber Company makes a $45 profit on Model P tires and a $30 profit on Model R tires, how many of each brand should they make each week to maximize their profit.