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Kelson Sporting Equipment, Inc., makes two different types of baseball gloves: a regular model and a catcher's model. Letting R-number of regular gloves C = number of catcher's mitts leads to the following formulation: Max 5R + 8C s.t. R+ -R + + Variable R с 2 3 3 2 1 3 4 R, C 20 The computer solution is shown below. Variable R C Cs 1,000 2 3 C ≤ 240 Optimal Objective Value - 3520.00000 Constraint 1 S 100 Constraint 1 Cutting and sewing Finishing Packaging and shipping Value Reduced Cost 0.00000 0.00000 320.00000 240.00000 Slack/Surplus 320.00000 0.00000 0.00000 Objective Allowable Allowable Coefficient Increase Decrease 7.00000 1.00000 2.00000 4.66667 5.00000 8.00000 Dual Value 0.00000 3.00000 28.00000 RHS Value Allowable Increase Infinite Allowable Decrease 1000.00000 320.00000 240.00000 160.00000 106.66667 100.00000 64.00000 40.00000

Kelson Sporting Equipment, Inc., makes two different types of baseball gloves: a regular model and a catcher's model. Letting R-number of regular gloves C = number of catcher's mitts leads to the following formulation: Max 5R + 8C s.t. R+ -R + + Variable R с 2 3 3 2 1 3 4 R, C 20 The computer solution is shown below. Variable R C Cs 1,000 2 3 C ≤ 240 Optimal Objective Value - 3520.00000 Constraint 1 S 100 Constraint 1 Cutting and sewing Finishing Packaging and shipping Value Reduced Cost 0.00000 0.00000 320.00000 240.00000 Slack/Surplus 320.00000 0.00000 0.00000 Objective Allowable Allowable Coefficient Increase Decrease 7.00000 1.00000 2.00000 4.66667 5.00000 8.00000 Dual Value 0.00000 3.00000 28.00000 RHS Value Allowable Increase Infinite Allowable Decrease 1000.00000 320.00000 240.00000 160.00000 106.66667 100.00000 64.00000 40.00000

Advanced Engineering Mathematics
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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Kelson Sporting Equipment, Inc., makes two different types of baseball gloves: a regular model and a catcher's model. Letting R = number of regular gloves C = number of catcher's mitts leads to the following formulation: Max 5R + 8C s.t. R+ + Variable R C 2 3 3 1R 10 + C≤ 100 8 4 R, C 20 The computer solution is shown below. 2 Variable R C 1 Optimal Objective Value = 3520.00000 Value Reduced Cost 0.00000 0.00000 123 C ≤ 1,000 Constraint 1 C ≤ 240 Constraint Cutting and sewing Finishing Packaging and shipping 320.00000 240.00000 Slack/Surplus 320.00000 0.00000 0.00000 Objective Allowable Coefficient Increase 7.00000 2.00000 5.00000 8.00000 Dual Value 0.00000 3.00000 28.00000 RHS Value Allowable Decrease 1.00000 4.66667 Allowable Allowable Increase Decrease 1000.00000 Infinite 320.00000 240.00000 160.00000 106.66667 100.00000 64.00000 40.00000
Transcribed Image Text:Kelson Sporting Equipment, Inc., makes two different types of baseball gloves: a regular model and a catcher's model. Letting R = number of regular gloves C = number of catcher's mitts leads to the following formulation: Max 5R + 8C s.t. R+ + Variable R C 2 3 3 1R 10 + C≤ 100 8 4 R, C 20 The computer solution is shown below. 2 Variable R C 1 Optimal Objective Value = 3520.00000 Value Reduced Cost 0.00000 0.00000 123 C ≤ 1,000 Constraint 1 C ≤ 240 Constraint Cutting and sewing Finishing Packaging and shipping 320.00000 240.00000 Slack/Surplus 320.00000 0.00000 0.00000 Objective Allowable Coefficient Increase 7.00000 2.00000 5.00000 8.00000 Dual Value 0.00000 3.00000 28.00000 RHS Value Allowable Decrease 1.00000 4.66667 Allowable Allowable Increase Decrease 1000.00000 Infinite 320.00000 240.00000 160.00000 106.66667 100.00000 64.00000 40.00000
(a) Determine the objective coefficient ranges. (Round your answers to two decimal places.) regular glove 4 to 12 catcher's mitt 3.33 to 10 (b) Interpret the ranges in part (a). (Round your answers to two decimal places.) As long as the profit contribution for the regular glove is between $ 4 solution ---Select---✓ optimal. finishing packaging and shipping (c) Interpret the right-hand-side ranges. The dual values for the resources are applicable over the following ranges. (Round your answers to two decimal places. If there is no upper or lower limit, enter NO LIMIT.) cutting and sewing no limit to no limit 400 164 to 133.33 and $ 12 to 60 the current solution is ✓optimal. As long as the profit contribution for the catcher's mitt is between $ 3.33 (d) How much will the value of the optimal solution improve (in $) if 10 extra hours of packaging and shipping time are made available? $ 280 and $10 1, the curren
Transcribed Image Text:(a) Determine the objective coefficient ranges. (Round your answers to two decimal places.) regular glove 4 to 12 catcher's mitt 3.33 to 10 (b) Interpret the ranges in part (a). (Round your answers to two decimal places.) As long as the profit contribution for the regular glove is between $ 4 solution ---Select---✓ optimal. finishing packaging and shipping (c) Interpret the right-hand-side ranges. The dual values for the resources are applicable over the following ranges. (Round your answers to two decimal places. If there is no upper or lower limit, enter NO LIMIT.) cutting and sewing no limit to no limit 400 164 to 133.33 and $ 12 to 60 the current solution is ✓optimal. As long as the profit contribution for the catcher's mitt is between $ 3.33 (d) How much will the value of the optimal solution improve (in $) if 10 extra hours of packaging and shipping time are made available? $ 280 and $10 1, the curren
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