Order from each pizzeria while minimizing total cost

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Reference no: EM132243472

Problem You need to buy 100 pizzas for the end-of-semester party in your living group.

• Pizzeria 1 will deliver up to 70 pizzas at a cost of $10 each, with a delivery fee of $70.

• Pizzeria 2 will deliver up to 60 pizzas at a cost of $12 each, with a delivery fee of $50.

1. Formulate an integer problem to figure out how many pizzas to order from each pizzeria while minimizing total cost.

2. How would you model the fact that Pizzeria 1 will only deliver 10, 25, 50 or 70 pizzas, and no other amount?

3. How would you model the fact that Pizzeria 2 has a minimum order policy of 5 pizzas? (You have to order at least 5 pizzas for it to deliver to you.)

4. You have just contacted another pizzeria, Pizzeria 3, which will deliver up to 50 pizzas at a cost of $15 each, but if you order more than 50 pizzas and at most 80 total, it will charge you $8 for any additional pizza. The delivery fee is $40 and is only paid once because all the pizzas are brought together. Plot the amount you pay to Pizzeria 3 as a function of the number of pizzas you order from it.

5. Incorporate Pizzeria 3 in the problem you have formulated in Q1.

Reference no: EM132243472

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