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A production manager wants to determine how many units of each product to produce weekly to maximize weekly profits. Production requirements for the products are shown in the following table. Product Material 1 (lbs.) Material 2 (lbs.) Labor (hours) A 3 2 4 B 1 4 2 5 none 3.5 ... Each week there are 300 pounds of material 1; 400 pounds of material 2; and 200 hours of labor. There is a standing order of 10 units of product C each week. The following table shows the output of POMQM. Variable Value Reduced Cost Original Val Lower Bound Upper Bound A 0 10 10 -Infinity 20 B 82.5 0 10 5.7143 Infinity C 10 0 10 -Infinity 17.5 Constraint Dual Value Slack/Surplus Original Val Lower Bound Upper Bound Constraint 1 0 167.5 300 132.5 Infinity Constraint 2 0 70 400 330 Infinity Constraint 3 5 0 200 35 235 Constraint 4 -7.5 0 10 0 57.1429 Suppose that the objective function coefficient for product C increases by P8. What impact will this have on the current values of the optimal solution?

A production manager wants to determine how many units of each product to produce weekly to maximize weekly profits. Production requirements for the products are shown in the following table. Product Material 1 (lbs.) Material 2 (lbs.) Labor (hours) A 3 2 4 B 1 4 2 5 none 3.5 ... Each week there are 300 pounds of material 1; 400 pounds of material 2; and 200 hours of labor. There is a standing order of 10 units of product C each week. The following table shows the output of POMQM. Variable Value Reduced Cost Original Val Lower Bound Upper Bound A 0 10 10 -Infinity 20 B 82.5 0 10 5.7143 Infinity C 10 0 10 -Infinity 17.5 Constraint Dual Value Slack/Surplus Original Val Lower Bound Upper Bound Constraint 1 0 167.5 300 132.5 Infinity Constraint 2 0 70 400 330 Infinity Constraint 3 5 0 200 35 235 Constraint 4 -7.5 0 10 0 57.1429 Suppose that the objective function coefficient for product C increases by P8. What impact will this have on the current values of the optimal solution?

FINANCIAL ACCOUNTING
FINANCIAL ACCOUNTING
10th Edition
ISBN:9781259964947
Author:Libby
Publisher:Libby
Chapter1: Financial Statements And Business Decisions
Section: Chapter Questions
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A production manager wants to determine how many units of each product to produce weekly to maximize weekly profits. Production requirements for the products are shown in the following table. 77IT Product Material 1 Material 2 Labor (Ibs.) (Ibs.) (hours) A 4 B 1 4 2 5 none 3.5 Each week there are 300 pounds of material 1; 400 pounds of material 2; and 200 hours of labor. There is a standing order of 10 units of product C each week. The following table shows the output of POMQM. Variable Value Reduced Cost Original Val Lower Bound Upper Bound A 10 10 -In finity 20 B 82.5 10 5.7143 Infinity C 10 10 -Infinity 17.5 Constraint Dual Value Slack/Surplus Original Val Lower Bound Upper Bound Constraint 1 167.5 300 132.5 In finity 400 200 Infinity 235 Constraint 2 70 330 Constraint 3 35 Constraint 4 -7.5 10 57.1429 Suppose that the objective function coefficient for product C increases by P8. What impact will this have on the current values of the optimal solution? A Solution will become unbounded. B There will be multiple optimal soltions No change. D Not enough information is provided. E Current solution will change.
Transcribed Image Text:A production manager wants to determine how many units of each product to produce weekly to maximize weekly profits. Production requirements for the products are shown in the following table. 77IT Product Material 1 Material 2 Labor (Ibs.) (Ibs.) (hours) A 4 B 1 4 2 5 none 3.5 Each week there are 300 pounds of material 1; 400 pounds of material 2; and 200 hours of labor. There is a standing order of 10 units of product C each week. The following table shows the output of POMQM. Variable Value Reduced Cost Original Val Lower Bound Upper Bound A 10 10 -In finity 20 B 82.5 10 5.7143 Infinity C 10 10 -Infinity 17.5 Constraint Dual Value Slack/Surplus Original Val Lower Bound Upper Bound Constraint 1 167.5 300 132.5 In finity 400 200 Infinity 235 Constraint 2 70 330 Constraint 3 35 Constraint 4 -7.5 10 57.1429 Suppose that the objective function coefficient for product C increases by P8. What impact will this have on the current values of the optimal solution? A Solution will become unbounded. B There will be multiple optimal soltions No change. D Not enough information is provided. E Current solution will change.
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