1.3 Creative Sports Design (CSD) manufactures a standard-size racket and an oversize racket. The firm's rackets are extremely light due to the use of a magnesium-graphite alloy. Each standard-size racket uses 0.125 kilograms of the alloy and each oversize racket uses 0.4 kilograms; over the next two-week production period only 80 kilograms of the alloy are available. Each standard-size racket uses 10 minutes of manufacturing 1 time and each oversize racket uses 12 minutes. Also, 40 hours of manufacturing time are available each week. The profit contributions are $10 for each standard-size racket and $15 for each oversize racket. How many rackets of each type should CSD manufacture over the next two weeks to maximize the total profit contribution?

a. Define decision variables and formulate the problem.

b. Solve the problem using the graphical method.