For the following linear programming problems, DO NOT SOLVE. Read each prat carefully for what is required. 11. A company produces two types of cookies: chocolate chip and sugar. Each batch of chocolate chip cookies needs 2 eggs and 3 cups of flour, and each batch of sugar cookies needs 1 egg and 3 cups of flour. The company has at most 500 eggs and at most 900 cups of flour in stock. If the profit on each batch of chocolate chip cookies is $3 and the profit on each batch of sugar cookies is $2, how many batches of each should be made to earn a maximum profit? (a) (1 pts) Define all variables as a complete sentence. (b) (2 pts) State the objective and write the objective function. (c) (4 pts) List all the constraints and corresponding constraint inequalities for the linear program