The Martinez Model Car Company produces four different radio-controlled model cars based on exotic production models: Ferrari, BMW, Lotus, and Tesla.

Each model requires production in five departments:

molding, sanding, polishing, painting, and finishing.

The number of minutes required for each product in each department, the selling price per unit, and the minutes available in each department each day are shown below.
Ferrari BMW Lotus Tesla Minutes Available Molding 5.00 3.50 1.00 3.00 600 Sanding 4.00 3.20 2.00 3.65 600 Polishing 3.50 2.00 3.00 1.00 480 Painting 3.75 3.25 1.75 2.00 480 Finishing 4.00 1.00 2.00 3.00 480 Price $350.00 $330.00 $270.00 $255.00

a. How many of each type of car should be produced to maximize profit?

b. If marketing requires that at least 25 units of each be produced each day, what is the optimal production plan and profit? Before you solve this, how would you expect the profit to compare with your answer to part (a)?