Problem 2: Robotix manufactures three robots: Mavis, Charles and Koala; each with different capabilities. All three require special circuits, of which up to 800 can be obtained each week. Mavis takes 6 of them, Charles 4 of them and Koala 5 of them. Work is limited to 350 hours per week. The construction of each Mavis consumes 2 working hours, Charles 2 hours and Koala 4 hours. Profits are $350, $250 and $450 respectively for each Mavis, Charles and Koala that is sold. The Robotix has signed a contract with a major customer to make and supply at least 07 Mavis, at least 12 Charles, and at least 37 Koala each week

a) Set up the linear programming problem (variables, objective function, constraints, etc). (1 point) Use Excel Solver to answer the following questions: b) How many of each robot should Robotix make per week to maximize total profit? What is the maximum profit? (1 point)