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• 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 12 4. B Total hours 60 40

• 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 12 4. B Total hours 60 40

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 6EQ: Redo Exercise 5, assuming that the house blend contains 300 grams of Colombian beans, 50 grams of...
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14 15 I 16 17 1 18 T15 Assignment 1 Con't (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 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? (U.S.) W 國 299
Transcribed Image Text:14 15 I 16 17 1 18 T15 Assignment 1 Con't (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 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? (U.S.) W 國 299
Assignment 1 76 • 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. 4. Total hours 60 40 Ac Go glish (U.S.) W DE 29°C rch 近
Transcribed Image Text:Assignment 1 76 • 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. 4. Total hours 60 40 Ac Go glish (U.S.) W DE 29°C rch 近
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