This is a question for the book Operations Research by Winst

This is a question for the book (Operations Research by Winston) and for the topic of (introduction to linear programming) for an industrial engineering class.

1 You have decided to enter the candy business. You are considering producing two types of candies: Slugger Candy and Easy Out Candy, both of which consist solely of sugar, nuts, and chocolate. At present, you have in stock 100 oz of sugar, 20 oz of nuts, and 30 oz of chocolate. The mixture used to make Easy Out Candy must contain at least 20% nuts. The mixture used to make Slugger Candy must contain at least 10% nuts and 10% chocolate. Each ounce of Easy Out Candy can be sold for 25¢ , and each ounce of Slugger Candy for 20c. Formulate an LP that will enable you to maximize your revenue from candy sales. ize your revenue fro

Solution

Decision variable = x1,x2

Constraints:

7 acres of land are available: x1+x2<=7

40 hours of labour are available: 4x1+10x2<=40

Atleast 30 bushel of corn has to be produced: x1>=30

Revenue= 10*3*x1+25*4*x2=30x1+100x2

Final LP Model:

Maximize: 30x1+100x2

Subject to:

x1+x2<=7

4x1+10x2<=40

x1>=30

x2>=0

The solution of the above LP will tell farmer jones how to maximize the total revenue from wheat and corn