Linear Programming
- Author:
- Rachel Fruin
- Topic:
- Inequalities
Bill sells guitars and basses. Each bass sells for $900 and each guitar sells for $750. He can sell no more than 50 instruments in all. The number of guitars he sells will always be at least twice the number of basses. He always sells at least 17 guitars and 5 basses. Let g = #guitars and b = #basses, and write a system of inequalities expressing the constraints. Graph the system and shade the feasible region. Let M be the total amount of money generated from selling the instruments, find the values of g and b that generate the maximum value of M. (Problem from Algebra and Trigonometry Prentice Hall Page 162)