Kelson Sporting Equipment, Inc., makes two different types of baseball gloves: a regular model and a catcher's model. LettingR = number of regular glovesC = number of catcher's mittsleads to the following formulation:Max 5R + 8Cs.t.R++VariableRC2331R 10+ C≤ 10084R, C 20The computer solution is shown below.2VariableRC1Optimal Objective Value = 3520.00000Value Reduced Cost0.000000.00000123C ≤ 1,000Constraint1C ≤ 240ConstraintCutting and sewingFinishingPackaging and shipping320.00000240.00000Slack/Surplus320.000000.000000.00000Objective AllowableCoefficientIncrease7.000002.000005.000008.00000Dual Value0.000003.0000028.00000RHSValueAllowableDecrease1.000004.66667AllowableAllowableIncreaseDecrease1000.00000Infinite320.00000240.00000 160.00000 106.66667100.0000064.0000040.00000 (a) Determine the objective coefficient ranges. (Round your answers to two decimal places.)regular glove 4to 12catcher's mitt 3.33to 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 $ 4solution ---Select---✓ optimal.finishingpackaging 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 sewingno limitto no limit400164to 133.33and $ 12to 60the 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 $) if 10 extra hours of packaging and shipping time are made available?$ 280and $101, the curren

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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