200 POINTS! PLEASE HELP!!!


You have $75 dollars to spend on side dishes for a party. Pasta salad costs $2.50 a pound and fruit salad costs $3.75 a pound. you must buy at least 5 pounds of pasta salad and 3 pounds of fruit salad. There are 40 people to feed and there needs to be at least a quarter of a pound of each side dish for every guest. You want to be able to buy the most amount of food for the party.


let x = pounds of pasta salad and y = pounds of fruit salad.

The objective function is f=x+y.

The vertices of the feasible region are (5,5) (5,16.6) (25.5,3) and (7,3)


what is the maximum amount of food you should buy?

how much pasta should you buy?

how much fruit salad should you buy?

Respuesta :

Answer:

So, I cannot answer the whole question, but I can give you my thought process. SO, since you need to feed 40 people with a quarter of each meal - you would need 10 pounds of each dish. Therefore the information about the "least amount" of each dish is met. As mentioned, x = pounds of pasta salad, while y = pounds of fruit salad. this means x would equal 10 and y would equal 10. In order to find out what it would cost is:

2.50 x 10 = 25 ($25)

3.75 x 10 = 37.5 ($37.50)

the function could possibly be f=10+10?

The maximum amount of food you should buy would be 20 pounds of food, considering you need to have enough for each guest.

You should buy 10 pounds or $25 worth of pasta salad, and 10 pounds, or $37.50 worth of fruit salad.