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.
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.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
Section10.1: Solution Of Linear Systems
Problem 46E
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Question
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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