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rain My Hom x Cengage Nowv2 l Online x M Thread Discussion Post x MC Chegg Study IGuided Sc x mWakeAssignment/takeAssignmentMain do?invoker assignments&takeAssignmentsessionLocator; assignm f f Apple Y Yahoo! A Google Maps YouTube B News ported From Safari popular D doner D optmz online egg Problem 3-05 Kelson Sporting Equipment, Inc., makes two different types of baseball gloves: a regular model and a catcher's model. The firm has 900 hours of production time available in its cutting and sewing department, 300 hours available in its finishing department, and 100 hours available in its packaging and shipping department. The production time requirements and the profit contribution per glove are given in the following table: Production Time (hours) Packaging Finishing and Shipping Profit/Glove and Sewing 1 12 ss Regular model R number of regular gloves C number of catcher's mitts leads to the following formulation: 5R BC Max R 3/2cs 900 cutting and sewing Finishing CS 300 i/ CS 100 Packaging and shipping NI xDExplanation / Answer
a. What is the optimal solution, and what is the value of the total profit contribution?
b. Which constraints are binding?
A constraint is considered to be binding if changing it also changes the optimal solution.The dual value for a constraint is nonzero only when the constraint is equal to its bound. This is called a binding constraint.
c. What are the shadow prices?
1. The shadow price is the value that the objective function will change by if you increase the constraint by one unit.
2. Cutting and sewing has a shadow price of zero which means that if we add one hour to the cutting and sewing department the value of the objetive function would not change
3. Finishing has a shadow price of 3 which means that if we add one hour to the finishing department the value of the objetive function would change
4. Packing and shipping have shadow price of 28 which means that if we add one hour to the Packing and shipping department the value of the objetive function would change
5. Constraints with a shadow price of 0 means that small changes in the right hand side do not affect the optimal solution
d.If overtime can be scheduled in one of the departments, where would you recommend doing so?
Cutting and Sewing
Optimal Solution Regular Glove 500 Catcher's Mitt 150 Total Profit 3,700Related Questions
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