Set up the linear programming problem associated with the following, but do not solve:

A factory assembles GPS devices and video game consoles at its factories in Boston and New Orleans. The factory in Boston makes $25$ GPS devices and $51$ video game consoles per hour and costs $$339$ per hour to operate. The factory in New Orleans makes $38$ GPS devices and $31$ video game consoles per hour and costs $$209$ per hour to operate.

If the factory currently has orders for $10,814$ GPS devices and $15,579$ video game consoles, how many hours should it schedule at each location to be able to fill the orders at minimum cost? What is the minimum cost?

Use

for the Boston factory, and use

for the New Orleans factory.

Objective function:

Minimize

Constraints: subject to

Select an answer