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positive integers

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Formulate the following problem as an integer program. DO NOT SOLVE.
A hiker has to load three items [food, water, tent] into his shoulder bag for his overnight trip. The weight per unit is

food
water
tent
2
5
15

The value of these goods is

food
water
Tent
8
10
25

However, he will only carry a tent if he has both at least 3 units of food and at least 2 units of water. He may carry up to 40 pounds. What should he pack to maximize his value?

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Solution Summary

This posting offers help with positive integers.

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X1 = Number of units of food to be carried; X2 = Number of units of water to be carried;
X3 = Number of tents to be ...

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