Question: A linear programming computer package is needed. to complete all the cherry cabinets, the number of hours available for the final finishing operation, and the



A linear programming computer package is needed. 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. 40/60=0.67, or 67%, of the cherry cabinets if it worked only on cherry cabinets. cabinetmaker 2 , and C3= percentage of cherry cabinets assigned to cabinetmaker 3 .) Min s.t. hours available 1 hours available 2 hours available 3 oak cherry O1,O2,O3,C1,C2,C30 completing both projects? (Round your percentage values to one decimal place.) 01 O2 03 C1 C2 C3 % % % % % % total cost (c) If Cabinetmaker 1 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 not reduce costs. No, cabinetmaker 1 has a slack of 26.458 hours, so increasing cabinetmaker 1 '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. A linear programming computer package is needed. 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. 40/60=0.67, or 67%, of the cherry cabinets if it worked only on cherry cabinets. cabinetmaker 2 , and C3= percentage of cherry cabinets assigned to cabinetmaker 3 .) Min s.t. hours available 1 hours available 2 hours available 3 oak cherry O1,O2,O3,C1,C2,C30 completing both projects? (Round your percentage values to one decimal place.) 01 O2 03 C1 C2 C3 % % % % % % total cost (c) If Cabinetmaker 1 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 not reduce costs. No, cabinetmaker 1 has a slack of 26.458 hours, so increasing cabinetmaker 1 '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
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