Question

Food and clothing are shipped to victims of a natural disaster. Each carton of food will feed 14 people, while each carton of clothing will help 6 people. Each 20-cubic-foot box of food weighs 50 pounds and each 5-cubic-foot box of clothing weighs 25 pounds. The commercial carriers transporting food and clothing are bound by the following constraints: The total weight per carrier cannot exceed 22,000 pounds. - The total volume must be no more than 6000 cubic feet. Use this information to answer the following questions How many cartons of food and clothing should be sent with each plane shipment to maximize the number of people who can be helped? The number of cartons of food is cartons The number of cartons of clothing is cartons, w the answer boxes

Answer 1

Number of people who can be helped

f = 14x + 6y

Constraints

x >= 0

y >= 0

20x + 5y <= 6000 (300,1200)

50x + 25y <= 22000 (440,880)

1900 800 600 400 -200 -600 -400 -200 0 200 400 600 -200

Table Of Values

Vertices   People

(0,880) 5280

(160,560) 5600

(300,0) 4200

To maximize the number of people to be helped, send 160 cartons of food and 560 cartons of clothing.

Hope This Helps!