●Mins.t.0₁0₁0₁+Oak 01 =Cherry C1-0₂Total Cost - $0₂0₂+0302 =C₂-0303C₁Cabinetmaker 1 Cabinetmaker 2 Cabinetmaker 3C₁03 =C3-C₂C₁C₂01, 02, 03, C1, C2, C3 2 0C₂c. If Cabinetmaker 1 has additional hours available, would the optimal solution change?C3C3MANAd. If Cabinetmaker 2 has additional hours available, would the optimal solution change?C3S eBookProblem 8-25 (Algorithmic)Georgia Cabinets manufactures kitchen cabinets that are sold to local dealers throughout the Southeast. Because of a large backlog of orders for oak and cherry cabinets, the company decided to contract with three smaller cabinetmakers to do the final finishing operation.For the three cabinetmakers, the number of hours required to complete all the oak cabinets, the number of hours required to complete all the cherry cabinets, the number of hours available for the final finishing operation, and the cost per hour to perform the work areshown here:1Hours required to complete all the oak cabinetsHours required to complete all the cherry cabinetsHours availableCost per hourC₁Cabinetmaker 1 Cabinetmaker 2 Cabinetmaker 3506135$36proportion of Oak cabinets assigned to cabinetmaker 1proportion of Oak cabinets assigned to cabinetmaker 2proportion of Oak cabinets assigned to cabinetmaker 3proportion of Cherry cabinets assigned to cabinetmaker 1C2 proportion of Cherry cabinets assigned to cabinetmaker 2C-proportion of Cherry cabinets assigned to cabinetmaker 3=444625For example, Cabinetmaker 1 estimates that it will take 50 hours to complete all the oak cabinets and 61 hours to complete all the cherry cabinets. However, Cabinetmaker 1 only has 35 hours available for the final finishing operation. Thus, Cabinetmaker 1 can onlycomplete 35/50 0.7, or 70%, of the oak cabinets if it worked only on oak cabinets. Similarly, Cabinetmaker 1 can only complete 35/61 -0.57, or 57%, of the cherry cabinets if it worked only on cherry cabinets.a. Formulate a linear programming model that can be used to determine the proportion of the oak cabinets and the proportion of the cherry cabinets that should be given to each of the three cabinetmakers in order to minimize the total cost of completing both projects.Let 01O₂03$43323430$56

Cabinet Maker 1Cabinet Maker 2Cabinet Maker 3Hours required to complete all the oak…

Answered: Georgia Cabinets manufactures kitchen…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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