Bryant's Pizza produces frozen pizzas. The company makes a profit of $1.00 for each regular pizza it produces, and $2.00 for each deluxe pizza. Each pizza includes a combination of dough mix and topping mix. The company currently has 150 pounds of dough and 50 pounds of topping. Each regular pizza uses 1 pound of dough and pound of topping. Each deluxe pizza uses 1 pound of dough and pound of topping. Based on past demand, the company feels it can sell at least 50 regular pizzas and at least 25 deluxe pizzas. How many of each type should the company make in order to maximize profit? a. Write a linear programming model for this problem. The number of constraints (BESIDES NON-NEG) is b. Sketch the feasible region. The number of corner points for this region is c. Find the value of the objective at each corner point. The number of optimal solutions is d. If the profit for a deluxe pizza would be $3.00 per pie, the objective value of the optimal solution would be