Question: MATH JKP 10 (USE number in this Question and Make answer clear)DO NOT POST IRRELEVANT WORK HERE!!! 10. [-/9.09 Points] DETAILS ASWMSCI15 3.E.005. Kelson Sporting

MATH JKP 10 (USE number in this Question and Make answer clear)DO NOT POST IRRELEVANT WORK HERE!!!

MATH JKP 10 (USE number in this Question and MakeMATH JKP 10 (USE number in this Question and Make

10. [-/9.09 Points] DETAILS ASWMSCI15 3.E.005. 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 6R+ 9C s.t. 3 R+C 1,000 2 Cutting and sewing 1 R + C 300 Finishing 2 3 16 R + 10 = 10 8" + a 100 Packaging and shipping 4 R, C 20 The computer solution is shown below. Optimal Objective Value - 4350.00000 Value Reduced Cust Variable R 500.00000 0.00000 150.00000 0.00000 Constraint Slack/Surplus. Dual Value 1 275.00000 0.00000 2 0.00000 4.50000 3 0.00000 30.00000 Objective Allowable Allowable Coefficient. Variable R Decrease Increase 7.50000 1.50000 6.00000 9.00000 Allowable Constraint RES Valun Allowable Increase Decrease 1 1000.00000 275.00000 Infinite 300.00000 100.00000 166.66667 2 3 100.00000 55.00000 25.00000 MY NOTES ASK YOUR TEACHER 3 100.00000 55.00000 25.00000 (a) What is the optimal solution, and what is the value the total profit contribution? regular glove catcher's mitt value (b) Which constraints are binding? (Select all that apply.) cutting and sewing finishing packaging and shipping (c) What are the dual values for the resources? Interpret each. constraint 1 O Each additional hour of cutting and sewing will improve profits by $4.50. O Each additional hour of cutting and sewing will improve profits by $30.00. O Each additional hour of cutting and sewing will improve profits by $275.00. O Additional hours of cutting and sewing will not improve profits. constraint 2 O Each additional hour of finishing will improve profits by $4.50. O Each additional hour of finishing will improve profits by $30.00. O Each additional hour of finishing will improve profits by $275.00. O Additional hours of finishing will not improve profits. constraint 3 O Each additional hour of packing and shipping will improve profits by $4.50. O Each additional hour of packing and shipping will improve profits by $30.00. O Each additional hour of packing and shipping will improve profits by $275.00. O Additional hours of packing and shipping will not improve profits. (d) If overtime can be scheduled in one of the departments, where would you recommend doing so? O cutting and sewing O finishing. O packaging and shipping

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