Consider a chocolate manufacturing company which produces only two types of chocolate – A and B. Both the chocolates require Milk and Choco only. To manufacture each unit of A and B, each unit of A requires 1 unit of Milk and 3 units of Choco and each unit of B requires 1 unit of Milk and 2 units of Choco. The company kitchen has a total of 5 units of Milk and 12 units of Choco. On each sale, the company makes a profit of $6 per unit A sold and $5 per unit B sold. The company would like to earn at least $10. Please Generate the mathematical model to maximize the profit of the company.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 27EQ
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Consider a chocolate manufacturing company which produces only two types of
chocolate – A and B. Both the chocolates require Milk and Choco only.

To manufacture
each unit of A and B, each unit of A requires 1 unit of Milk and 3 units of Choco and each
unit of B requires 1 unit of Milk and 2 units of Choco.

The company kitchen has a total of
5 units of Milk and 12 units of Choco. On each sale, the company makes a profit of $6
per unit A sold and $5 per unit B sold. The company would like to earn at least $10.


Please Generate the mathematical model to maximize the profit of the company.

Using graphical method, how many units of A and B should it produce respectively?

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