A company produces two products A and B, which have profits of $9 and $7, respectively. Each unit of product must be processed on two assembly lines, where the required production times are as followS Hours/Unit Product Line 1 Line 2 A 12 B Total hours 60 Assignment 1 Con't 77 a) Formulate a linear programming model to determine he optimal product mix that will maximize profit. b) Solve Problem graphically. c) Transform this model into standard form. d) Identify the amount of unused resources (i.e., slack) at ach of the graphical extreme points. e) What would be the effect on the optimal solution if the production time on line 1 was reduced to 40 hours? f) What would be the effect on the optimal solution if the profit for product B was increased from $7 to $15? to $20?

A company produces two products A and B, which have profits of $9 and $7, respectively. Each unit of product must be processed on two assembly lines, where the required production times are as followS Hours/Unit Product Line 1 Line 2 A 12 B Total hours 60 Assignment 1 Con't 77 a) Formulate a linear programming model to determine he optimal product mix that will maximize profit. b) Solve Problem graphically. c) Transform this model into standard form. d) Identify the amount of unused resources (i.e., slack) at ach of the graphical extreme points. e) What would be the effect on the optimal solution if the production time on line 1 was reduced to 40 hours? f) What would be the effect on the optimal solution if the profit for product B was increased from $7 to $15? to $20?

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Description: Assignment 1• A company produces two products A and B, whichhave profits of $9 and $7, respectively. Each unit ofproduct must be processed on two assembly lines,where the required production times are as followsHours/UnitProductLine 2Line 1A12B4Tota

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

Assignment 1
• A company produces two products A and B, which
have profits of $9 and $7, respectively. Each unit of
product must be processed on two assembly lines,
where the required production times are as follows
Hours/Unit
Product
Line 2
Line 1
A
12
B
4
Total hours
60
40
Assignment 1 Con't
77
(a) Formulate a linear programming model to determine
the optimal product mix that will maximize profit.
(b) Solve Problem graphically.
(c) Transform this model into standard form.
(d) Identify the amount of unused resources (i.e., slack) at
each of the graphical extreme points.
(e) What would be the effect on the optimal solution if the
production time on line 1 was reduced to 4o hours?
(f) What would be the effect on the optimal solution if the
profit for product B was increased from $7 to $15? to $20?

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