Stockfish Ford sells their Ford Focus in two models: a Sedan and a Hatchback. Among other things, they use two important machines to build the cars: Machine I and Machine II. Stockfish Ford has realized they will receive a profit of $3000 on each Sedan and $4000 on each Hatchback. To make a Sedan, they will need to use Machine I for 6 hours and Machine II for 5 hours. To make a Hatchback, they will need to use Machine I for 9 hours and Machine II for 4 hours. They can only use Machine I for 300 hours per month and Machine II can only be used for 180 hours per month. In order to maximize the company's profits, how much of each product (the Sedan and Hatchback cars) should the company produce?

a) Fill in the following table using the information provided in the question. Remember that the first two rows should measure times and the last row should measure money.

Sedan Hatchback Time Available

Machine I Machine II Profit per Car

b) Using the table above, determine the objective function we are trying to maximize. ALSO be sure to state what your variables are. [2 marks]

c) Using the table above, determine the constraints on the objective function. Hint: There should be FOUR constraints.