A company manufactures two products A and B, and each of these products must be processed on two different machines. Product A requires 1 minute of work time per unit on machine 1 and 4 minutes of work time on machine 2. Product B requires 3 minute of work time per unit on machine 1 and 2 minutes of work time on machine 2. Each day 100 minutes are available on machine 1 and 200 minutes are available on machine 2. The profit of each unit of product A is $50 and the profit of each unit of product B is $60. (Let x = number of units of product A and y = number of units of product B). 1. Identify the variables. 2. Set up the objective function. 3. Give the constraints in mathematical expression. 4. Graph the constraints and identify the solution. 5. How many units of each product should be produced daily in order to maximize the company's profit? 6. What is that maximum profit daily?
A company manufactures two products A and B, and each of these products must be processed on two different machines. Product A requires 1 minute of work time per unit on machine 1 and 4 minutes of work time on machine 2. Product B requires 3 minute of work time per unit on machine 1 and 2 minutes of work time on machine 2. Each day 100 minutes are available on machine 1 and 200 minutes are available on machine 2. The profit of each unit of product A is $50 and the profit of each unit of product B is $60. (Let x = number of units of product A and y = number of units of product B). 1. Identify the variables. 2. Set up the objective function. 3. Give the constraints in mathematical expression. 4. Graph the constraints and identify the solution. 5. How many units of each product should be produced daily in order to maximize the company's profit? 6. What is that maximum profit daily?
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 5SC: If during the following year it is predicted that each comedy skit will generate 30 thousand and...
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Transcribed Image Text:A company manufactures two products A and B, and each of these products must be processed
on two different machines. Product A requires 1 minute of work time per unit on machine 1 and
4 minutes of work time on machine 2. Product B requires 3 minute of work time per unit on
machine 1 and 2 minutes of work time on machine 2. Each day 100 minutes are available on
machine 1 and 200 minutes are available on machine 2. The profit of each unit of product A is
$50 and the profit of each unit of product B is $60.
(Let x = number of units of product A and y = number of units of product B).
1. Identify the variables.
2. Set up the objective function.
3. Give the constraints in mathematical expression.
4. Graph the constraints and identify the solution.
5. How many units of each product should be produced daily in order to maximize the
company's profit?
6. What is that maximum profit daily?
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