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?

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Description: A company manufactures two products A and B, and each of these products must be processedon two different machines. Product A requires 1 minute of work time per unit on machine 1 and4 minutes of work time on machine 2. Product B requires 3 minute of

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

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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