John has pocket money of 20 $ for which the spending is highly restricted by his...
John has pocket money of 20 $ for which the spending is highly restricted by his family. John is willing to buy candy, chocolate and ice cream with his money. However, his family establishes these rules:
The amount of candy he buys cannot be higher than twice the amount of ice cream he buys.
The amount of chocolate he buys cannot be higher than the half of the amount of ice cream he buys.
The unit cost of candy, chocolate and ice cream is 1 $, 2$ and 1 $, respectively. Can wants to maximize the amount of the snacks he buys. You are asked to develop a (linear)mathematical programming model to solve John's problem.
Homework Answers
Let X be the amount of candy John buys
Y be the amount of chocolate John buys
Z be the amount of ice cream John buys
Objective function : Minimize Total cost : Min Z=X+2Y+Z
s.t constraints
X<=2Z
Y<=0.5Z
X+2Y+Z=20
X,Y,Z >=0 (Non-negativity constraint)
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