Explanation of Solution
Formulation of Linear program (LP) to maximize the revenue from candy sales:
Let “xij” be the ounces of ingredient “i” used to make candy “j”.
- Let ingredient 1 is sugar, 2 is nuts, and 3 is chocolate. The candy 1 is slugger candy and 2 is easy out candy.
- The objective of function is to maximize the revenue from the candy sales.
- Each ounce of out candy can be sold for 25 cents and each ounce of slugger candy can be sold for 20 cents.
Therefore, the objection function is,
Constraint 1:
At present, 100 oz of sugar is in the stock.
Constraint 2:
At present, 20 oz of nuts is in the stock.
Constraint 3:
At present, 30 oz of nuts is in the stock.
Constraint 4:
At least, 20% of nuts must be there in easy out candy.
Constraint 5:
At least, 10% of nuts must be there in slugger candy.
Constraint 6:
At least, 10% of chocolate must be there in slugger candy
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Introduction to mathematical programming
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