Chap. 3. S. q 4

CAN YOU PLEASE WRITE THE ANSWER NEXT TO THE QUESTION OR LABEL IT

but MEGANE A linear programming computer package is needed, 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 are shown here. Cabinetmaker 1 Cabinetmaker Cabinetmaker 3 Hours required to complete all the oak cabinets 50 42 30 Hours required to complete all the cherry cabinets 50 48 35 Hours available 40 30 35 Cost per hour 536 542 $55 For example, Cabinetmaker 1 estimates it will take 50 houts to complete all the oak cabinets and 60 hours to complete all the cherry cabinets However, Cabinetmaker 1 only has 40 hours available for the final finishing oputation. Thus, Cabinetmaker I can only complete 4050 - 0.80, 80% of the oak cabinets if it worked only on oak cabinets Similarly, Cabinetmaker I can only completo 40/60 -0.67, 67, of the cherry cabinets if it worked only on cherry cabinets (a) Formulate a linear programming model that can be used to determine the percentage of the oak cabinets and the percentage 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. (leto! percentage of oak cabinets assigned to cabinetmaker 1, 02 - percentage of ook cabinets assigned to cabinetmaker 2, 03 - percentage of oak cabinets assigned to cabinetmaker 3, C1 - percentage of cherry cabinets assigned to cabinetmaker 1, C2-percentage of cherry cabinets assigned to cabinetmaker 2, and C3 - percentage of cherry cabinets assigned to cabinetmaker 3.) Min 180001 + 21601C1 + 176402 + 2016C2 + 165003 + 1925C3 x St. hours available 1 40 hours available 2 30 X hours available 3 35 X oak 1 x cherry 1 X 01, 02, 03, C1, C2, C3 20