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