Question

The cargo capacity is 30,000 cubic feet for Type A planes and 20,000 cubic feet for Type B planes. The cargo capacity is to be maximized subject to the following restrictions.

?1) No more than 52 planes could be used.?

2) The larger Type A planes required 16 personnel per? flight, double that of the requirement for Type B planes. The total number of personnel available could not exceed 576.

?3) The cost of flying Type A planes was ?$8000 and the cost of flying Type B planes was ?$6000. Total weekly costs could not exceed ?$352,000.

Find the number of Type A and Type B planes that were used to maximize cargo capacity.

Answer: To Maximize cargo? capacity,_____ Type A and _____Type B planes were used.

Answer 1

Solution using LINGO is following

ANSWER: To Maximize cargo capacity,__20___ Type A and __32___Type B planes were used.

Type A planes = 20

Type B planes = 32

Capacity = 1,240,000 cubic feet