Karlin Enterprises manufactures two games. Standing orders require that at least 24,000 space-battle games and 5,000 football games be produced per month. The Gainesville plant can produce 600 space-battle games and 100 football games per day; the Sacramento plant can produce 300 space-battle games and 100 football games per day. If the Gainesville plant costs \(\$ 20,000\) per day to operate and the Sacramento factory costs \(\$ 15,000\) per day, find the number of days per month each factory should operate to minimize the cost.

Write a linear programming model, including the objective function and the set of constraints, for Problems 52-55. DO NOT SOLVE, but be sure to define all your variables.