Question

8 of 10 (8 complete) V HW Score: 70%, 7 X 7.5.18 Question Hele Two countries cooperated to airlift food, clothing, and other supplies to a blockaded city. The cargo capacity was 33,000 cubic feet for planes from country A and 22,000 cubic feet for planes from country B. The countries wanted to maximize cargo capacity, but were subject to the restrictions below. Find the number of plane from each country that were used to maximize cargo capacity. • No more than 42 planes could be used. • The planes from country A required 16 personnel per flight, double that of the requirement for the planes from country B. The total number of personnel available could not exceed 512. • The cost of a flight from country A was $9000 and the cost of a flight from country B was $5000. Total weekly costs could not exceed $298.000 Using planes from country A and planes from country B maximized cargo capacity Close Enter your answer in the edit helas and then click Check Answer arces All parts showing ms here to search

Answer 1

The answer is:

Using 22 planes from country A and 20 planes from country B maximized cargo capacity.

Explanation and calculations:

Let the no. of planes from country A be “x” and from country B be “y”.

Thus objective function will be 33,000x + 22,000y. This has to be maximized as it is the cargo capacity.

Constraints:

(i): x+y<=42 (no more than 42 planes can be used)

(ii): 16x+8y<=512 (personnel requirements)

(iii): 9000x+5000y<=298,000 (cost of a flight and weekly cost constraint)

Solving the above in excel’s solver we get the following solution:

A	22
B	20
				Formula
Total capacity	1,166,000			33,000x + 22,000y
Constraints
42	<=	42		x+y<=42
512	<=	512		16x+8y<=512
298,000	<=	298,000		9000x+5000y<=298,000