Consider the following problem: ``A chocolate manufacturing company produces two types of chocolate: type A and type B. Each unit of A requires 1 unit of Milk and 3 units of Chocolate, and each unit of B requires 1 unit of Milk and 2 units of Chocolate. The company has a total of 500 units of Milk and 620 units of Chocolate. On each sale, the company makes a profit of $6$6 per unit A sold, and $5 per unit B sold. How many units of A and B should be produced in order to maximize the profit?'' Let ?x be the number of units of A to produce, let ?y be the number of units of B to produce, and let P be the profit earned. Which of the following is the objective function for this linear programming problem? A

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 the following problem: ``A chocolate manufacturing company produces two types of chocolate: type A and type B. Each unit of A requires 1 unit of Milk and 3 units of Chocolate, and each unit of B requires 1 unit of Milk and 2 units of Chocolate. The company has a total of 500 units of Milk and 620 units of Chocolate. On each sale, the company makes a profit of $6$6 per unit A sold, and $5 per unit B sold. How many units of A and B should be produced in order to maximize the profit?''

Let ?x be the number of units of A to produce, let ?y be the number of units of B to produce, and let P be the profit earned.

Which of the following is the objective function for this linear programming problem?

A

P=x+y

B

P=6x+5y

C

P=3x+2y

D

P=x+3y

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