Artist International specializes in 2 products with the objective to maximize profits through the manufacture and sale of its model 3000 and model 1000. Artist realizes a profit of 35 000 for each unit sale of model 3000 and 18,000 for each unit sale of model 1000.

The company has determined that each 3000 requires 24 hours of mechanical work in 84 hours of electrical work. Each 1000 requires 120 hours of mechanical work and 12 hours of electrical work. Artist has a daily allotment of 360 mechanical hours and 252 electrical hours available to it. historical data has shown that the company can expect to sell no more than 9 model 3000 in any 1 day.

Use linear programming to evaluate how many model 3000 and how many model 1000s the company should manufacture each day in order to maximize profits. next run a check to make sure the optimal solution does not violate any of the constraints.