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BigorU [14]
3 years ago
9

AKS 18/19 A travel agent is arranging a private cruise. The agent can arrange for, at most, 40 people to go on the trip. The tri

p cannot be finalized unless there are at least 12 men and 15 women committed to the cruise. The agent will make $26 profit per man and $14 profit per woman. What are the constraints for this situation?
Mathematics
1 answer:
zlopas [31]3 years ago
4 0

Answer:

M + W <= 40

M >= 12

M >= 15

Total profit =  $26 * M + $14 * W

Step-by-step explanation:

Let the number of men be denoted by M

number of women be denoted by W

Maximum no of people that can go one trip = 40

Therefore representing it mathematically we have

M + W <= 40  -------------- CONSTRAINT 1

Minimum number of men needed on trip = 12

Therefore representing it mathematically we have

M >= 12  CONSTRAINT 2

Minimum number of women needed on trip = 15

Therefore representing it mathematically we have

M >= 15  CONSTRAINT  3

profit on 1 man = $26

profit on M men = $26 * M

profit on 1 woman = $14

profit on M men = $14 * W

Total profit combining for men and women =

 $26 * M + $14 * W  -------------CONSTRAINT  4

___________________________________________

writing together all the constraint

M + W <= 40

M >= 12

M >= 15

Total profit =  $26 * M + $14 * W

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