Matt considers to start delivering food for Delivery guy, but he is worried that he might not be able to earn more money than it will cost to do deliveries.
There are three restaurants in his delivery radius where he can accept deliveries.
His average cost of delivering food is Chinese Food ($15), Fried Chicken ($7), and Pizza ($15).
The earnings for delivering food are Chinese Food ($25), Fried Chicken ($10), and Pizza ($12).
He can make an average of 36 deliveries every day.
Chinese Food deliveries take twice as long as the average delivery.
Fried chicken deliveries take one-quarter of the average delivery time.
Matt needs to make a minimum of $200 in daily profit.
He also needs to make at least 5 deliveries of each type each day to maintain his contract with Delivery guy.
a) Formulate and solve the problem as a Linear Programming problem to minimize cost.
b) Formulate and solve the problem as a Linear Programming problem to maximize profit.
c) What is the difference in profit between a) and b)? Explain why these changes occurred.
There are three restaurants in his delivery radius where he can accept deliveries.
His average cost of delivering food is Chinese Food ($15), Fried Chicken ($7), and Pizza ($15).
The earnings for delivering food are Chinese Food ($25), Fried Chicken ($10), and Pizza ($12).
He can make an average of 36 deliveries every day.
Chinese Food deliveries take twice as long as the average delivery.
Fried chicken deliveries take one-quarter of the average delivery time.
Matt needs to make a minimum of $200 in daily profit.
He also needs to make at least 5 deliveries of each type each day to maintain his contract with Delivery guy.
a) Formulate and solve the problem as a Linear Programming problem to minimize cost.
b) Formulate and solve the problem as a Linear Programming problem to maximize profit.
c) What is the difference in profit between a) and b)? Explain why these changes occurred.