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Question 1201945: 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.
Answer by ikleyn(52851)   (Show Source):
You can put this solution on YOUR website! .
As this problem is presented in the post, I can only consider it as a joke,
but can not consider it as a serious mathematical problem.
Does Matt really have an option to select what kind of food to deliver,
being on duty at "Delivery guy" ?
Please confirm that it is a joke.
Not a very good joke. Three points out of five.
Only because a person tried very hard.
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