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ife Sci 4.2.35 Question Help As part of a weight reduction program, a man design

ID: 3198027 • Letter: I

Question

ife Sci 4.2.35 Question Help As part of a weight reduction program, a man designs a monthly exercise program consisting of bicycling, jogging, and swimming He would like to exercise at most 40 hours, devote at most 6 hours to swimming, and jog for no more than the total number of hours bicycling and swimming The calories burned by this person per hour by bicycling, jogging, and swimming are 200, 577, and 253, respectively How many hours should be allotted to each activity to maximize the number of calories bumed? What is the maximum number of calories he will burn? (Hint Write the constraint involving jogging in the form s0) Let xi be the number of hours spent bicycling, let x2 be the number of hours spent jogging, and let xg be the number of hours spent swimming What is the objective function? Enter your answer in the edit fields and then click Check Answer remaining oK o search

Explanation / Answer

Objective function is to burnt maximum calories

202 calories burnt by bicycle in one hour

577 calories burnt by jogging per hour

253 calories burnt by swimming per hour

So,

Z=202 X1+ 577 X2 +253 X3