Question: Pete opened a Chinese restaurant. At first he offered only 2 full-course meals at first, one beef and one fish.

Pete needs to determine how many meals to prepare for each night. He estimated that he would sell a max of 60 meals each night. Each fish dinner, requires 15 minutes to prepare, and each beef dinner takes twice as long. There is a total of 20 hours of kitchen staff labor available each day. He decided to sell at least three fish dinners for every two beef dinners. However, he also believed that at least 10% of their customers will order beef dinners. The profit from each fish dinner will be approximately $12, and the profit from a beef dinner will be about $16.

A. Formulate a linear programming model for Pete that will help him estimate the number of meals he should prepare each night.

B. Solve the linear programming model using a computer solution that will determine how many fish dinners and beef dinners Pete should make to maximize his profit.

C. If Pete increased the menu price on the fish dinner so that the profit for both dinners was the same, what effect would that have on his solution?

D. Suppose Pete reconsidered the demand for beef dinners and decided that at least 20% of his customers would purchase beef dinners. What effect would this have on his meal preparation plans (keep all other original assumptions)?

E. Pete is considering investing in some advertising to increase the maximum number of meals he serves. He estimates that if they spend $30 per day on a newspaper ad, it will increase the maximum number of meals he serves from 60 to 70. Should he make the investment (keep all other original assumptions)?

Please read problem statements carefully to distinguish between a maximization problem and a minimization problem.