Sasha, a doctor based in Toronto had to stop working temporarilydue to the health and safety restrictions imposed by the governmentdue to the outbreak of the swine flu. She started to make two typesof children's wooden toys in her basement, cars (C) and dolls (D).Cars can yield a contribution margin of $9 each and dolls have acontribution margin of $8 each. Since her electric saw overheats,Sasha can make no more than 7 cars or 14 dolls each day. Since shedoesn't have equipment for drying the lacquer finish that she putson the toys, the drying operation limits her to 16 cars or 8 dollsper day. Sasha wants to know what is the combination of cars anddolls that she should make each day to maximize her profits,subject to her constraints. a) Formulate a linear programmingproblem to depict Sasha's objective algebraically. b) What are thecorner points in Sasha's feasible region? [Note: You do not need tograph the feasible region in your answer file, but you may want todraw it in a scrap paper to understand the problem better and solveit c) Solve this problem using the corner point method. Find theoptimal combination of cars and dolls. What is the optimal profitat that combination?
