(linear programming) Aid to Disaster Victiins An agency wants to ship food and clothing to hurricane?

73. Aid to Disaster Victiins An agency wants to ship food and clothing to hurricane
victims in Mexico. Commercial carriers have volunteered to transport the packages,
provided they fit in the available cargo space. Each 20-ft%ox of food weighs
40 Ib and each 30-ft%ox of clothing weighs 10 lb. The total weight cannot exceed
16,000 Ib, and the total volume must be less than 18,000 ft'. Each carton of food will
feed 10 people, while each carton of clothing will help 8 people.
(a) How many cartons of food and clothing should be sent to maximize the number
of people helped?
(b) What is the maximum number helped?

Let x1 be the number of cartons of food sent
Let x2 be the number of cartons of clothing sent.

Then your objective function is:
Z = 10x1 + 8x2
With constraints
20x1 + 30x2 <= 18000
40x1 + 10x2 <= 16000

I'm not going to solve this for you, you should know how to do that yourself.

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