Bryant\'s Pizza, Inc. is a producer of frozen pizza products. The company makes

Question

Bryant's Pizza, Inc. is a producer of frozen pizza products. The company makes a net income of $1.00 for each regular pizza and $1.50 for each deluxe pizza produced. The firm currently has 150 pounds of dough mix and 800 pounds of topping mix. Each regular pizza uses 1 pound of dough mix and 4 ounces (16 ounces= 1 pound) of topping mix. Each deluxe pizza uses 1 pound of dough mix and 8 ounces of topping mix. Determine the number of regular and deluxe pizzas the company should make to maximize net income. Create a linear optimization Model

Explanation / Answer

Since deluxe pizza has higher net income, therefore company should make maximum deluxe pizza to maximize net income

topping mix available = 800 pound = 800*16 = 12800 ounces

Number deluxe pizza which can be produced with 12800 ounces of topping mix = 12800/8 = 1600

But dough mix is a resource constraint

Number deluxe pizza which can be produced with 150 pounds of dough mix = 150

number of regular pizzas the company should make to maximize net income=0

number of deluxe pizzas the company should make to maximize net income = 150

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