A group of investors wants to open a number of restaurants in the metropolitan area. There are two types of stores: Take-out only and Full service. The cost and profit of each type of stores are shown in the following table. The investors want to maximize the profit in the first two years.

a.Write down the decision variables.

b.Write down the objective function.

c.Write down all constraints.

d.How would the formulation change if the objective is to maximum per month profit?

Type Opening cost Operating Profit/month cost/month Take-out $50,000 $15,000 $5,000 only Full service $100,000 $25,000 $7,000 Available $500,000 $195,000 fund