write my assignment 11991

4.Pizza Pizzazz  

Pizza Pizzazz, Inc., is a producer of frozen pizza products. The company makes a profit of $1.00 for each regular pizza it produces and $1.50 for each deluxe pizza produced. Each pizza includes a combination of dough and topping mix. The firm currently has 150 pounds of dough mix and 50 pounds of topping mix. Each regular pizza uses 1 pound of dough mix and 4 ounces of topping mix. Each deluxe pizza uses 1 pound of dough mix and 8 ounces of topping mix. Based on past demand, Pizza Pizzazz believes it can sell at least 50 regular pizzas and at least 25 deluxe pizzas. How many regular and deluxe pizzas should the company make to maximize profit? Assume the company can sell everything they make.

(a)Structure the linear programming problem for this scenario. 

(b)Solve graphically (show all work).

(c)What are the values and interpretation of all slack and surplus variables?

(d)Which constraints are binding and which are non-binding.

(e)Suppose the company makes $2.00 on each deluxe pizza instead of the current $1.50 while the profit on a regular pizza remains at $1.00. Does this change the solution? Explain