Need help in Part C, Part D, part E. please explain throughly

Georgia Cabinets manufactures kitchen cabinets that are sold to local dealers throughout the Southeast. 8ecause of a large backlog of orders for oak and cherry cabinets, the. company dedided to contract with three smaller cabinetmakers to do the final finishing operation. For the three cabinetmakers, the number af hours required to complete all the ask 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 wark are shown here. for exampie, Cabinetmaker 1 estimates it will take 50 hours to complete all the oak cabinets and 60 hours to complete all the cherry cabinets. However, Cabinetmaker 1 only rias 40 hours available for the final finishing operation. Thus, Cabinetmaker 1 can only complete 40/50=0.80, or 80%, of the aak cabinets if it worked only on eak cabinets. Similarty. Cabinetmaker 1 can only complete 40/60=0.67, or 67%, of the cherry cabinets if it worked only on cherry cabinets. (c) If Cabinetmaker I has additional hours available, would the optimal solution change? Explain. Yes, each additional hour of time for cabinetmaker 1 will reduce the total cost by $5 per hour. Yes, each additional hour of time for cabinetmaker 1 will reduce the total cost by $1.75 per hour, No, cabinetmaker 1 has a slack of 37.5 hours, so increasing cabinetmaker 1 's time will nok reduce costs. No, cabinetmaker 1 has a siack of 26.458 hours, so increasing cabinetmaker I's time will not reduce costs. (d) If Cabinetmaker 2 has additional hours available, would the optimal solution change? Explain. Yes, each additional hour of time for cabinetmaker 2 will reduce the total cost by $5 per hour. Yes, each additional hour of time for cabinetmaker 2 will reduce the total cost by $1.75 per hour. No, cabinetmaker 2 has a slack of 37.5 hours, so increasing cabinetmaker 2's time will not reduce costs. No, cabinetmaker 2 has a slack of 26.458 hours, so increasing cabinetmaker 2 's time will not reduce costs. (e) Suppose Cabinetmaker 2 reduced its cost to $38 per hour. What effect would this change have on the optimal solution? Explain. The new objective function coefficients for O2 and C2 are , and aspectively. The optimal solution and has a vatue of