d. If Cabinetmaker 2 has additional hours available, would the optimal solution change? If required, round youranswers to three decimal places. If your answer is zero, enter "0". Use a minus sign to indicate the negativefigure. Explain.because Cabinetmaker 2 has aofadditional hour of time for cabinetmaker 2 will reduce cost by a total of $maximum oftotal hours.c. If Cabinetmaker 1 has additional hours available, would the optimal solution change? If required, round youranswers to three decimal places. If your answer is zero, enter "0". Explain.because Cabinetmaker 1 has (additional hour of time for cabinetmaker 1 will reduglackhours.because Cabinetmaker 2 has aofadditional hour of time for cabinetmaker 2 will reduce cost by a total of $maximum oftotal hours.YesNod. If Cabinetmaker 2 has additional hours available, would the optimal solution change? If required, round youranswers to three decimal places. If your answer is zero, enter "0". Use a minus sign to indicate the negativefigure. Explain.surplusdual valuebecause Cabinetmaker 2 has ae for cabinetmaker 2 will reduce cost by a total of $total hours.d. If Cabinetmaker 2 has additional hours available, would the optimal solution change? If required, round youranswers to three decimal places. If your answer is zero, enter "0". Use a minus sign to indicate the negativefigure. Explain.because Cabinetmaker 2 has a Cadditional hour of time for cabinetmaker 2 will reduce slackmaximum oftotal hours.surplusdual valueTotal Cost = $d. If Cabinetmaker 2 has additional hours available, would the optimal solution change? If required, round youranswers to three decimal places. If your answer is zero, enter "0". Use a minus sign to indicate the negativefigure. Explain.0₂=C₂ =The change in Cabinetmaker 2's cost per hour leads to changing icoefficients. This means that the linear programThe new optimal solutionThe new optimal solutionofTotal Cost = $The change in Cabinetmaker 2's cost per hour leads to changing (coefficients. This means that the linear program (e. Suppose Cabinetmaker 2 reduced its cost to $38 per hour. What effect would this change have on the optimalsolution? If required, round your answers to three decimal places. If your answer is zero, enter "0".The new optimal solution CCabinetmaker 1 Cabinetmaker 2 Cabinetmaker 3Oak0₁ =03 =C3=Cherry C₁ =What is the total cost of completing both projects? If required, round your answer to the nearest dollar.ofThe change in Cabinetmaker 2's cost per hour leads to changingcoefficients. This means that the linear programThe new optimal solutiondiffers fromis the same as. Therefore, eachper hour, up to an overallTherefore, eachper hour, up to a maximum ofonetwothe one above buthreeofThe change in Cabinetmaker 2's cost per hour leads to changingcoefficients. This means that the linear programi.Therefore, eachper hour, up to an overallWhat is the total cost of completing both projects? If required, round your answer to the nearest dollar.Therefore, eachper hour, up to an overallthe one above but with a total cost of $solution given can be used again.heeds to be rerun.Therefore, eachper hour, up to an overallobjective functionthe one above but with a total cost of $objective functionobjective functionof $objective function Georgia Cabinets manufactures kitchen cabinets that are sold to local dealers throughout the Southeast. Because of a large backlog oforders for oak and cherry cabinets, the company decided to contract with three smaller cabinetmakers to do the final finishingoperation. For the three cabinetmakers, the number of hours required to complete all the oak cabinets, the number of hours required tocomplete all the cherry cabinets, the number of hours available for the final finishing operation, and the cost per hour to perform thework are shown here:Hours required to completeall the oak cabinetsHours required to complete.all the cherry cabinetsHours availableCost per hourMins.t.01Let O₁O₂0101For example, Cabinetmaker 1 estimates it will take 50 hours to complete all the oak cabinets and 60 hours to complete all the cherrycabinets. However, Cabinetmaker 1 only has 40 hours available for the final finishing operation. Thus, Cabinetmaker 1 can onlycomplete 40/50 = 0.8, or 80%, of the oak cabinets if it worked only on oak cabinets. Similarly, Cabinetmaker 1 can only complete40/60= 0.67, or 67%, of the cherry cabinets if it worked only on cherry cabinets.Oak 01 -Cherry C₁=Cabinetmaker 1 Cabinetmaker 2 Cabinetmaker 3a. Formulate a linear programming model that can be used to determine the percentage of the oak cabinets and thepercentage of the cherry cabinets that should be given to each of the three cabinetmakers in order to minimizethe total cost of completing both projects. If the constant is "1" it must be entered in the box.0₂YesNo0₂Total Cost = $500₂6040$320₂=C₂ =percentage of Oak cabinets assigned to cabinetmaker 1percentage of Oak cabinets assigned to cabinetmaker 203percentage of Oak cabinets assigned to cabinetmaker 3.C₁ percentage of Cherry cabinets assigned to cabinetmaker 1=C2 percentage of Cherry cabinets assigned to cabinetmaker 2C3 percentage of Cherry cabinets assigned to cabinetmaker 3030303441.14325$43C₁C₁Cabinetmaker 1 Cabinetmaker 2 Cabinetmaker 33033C₂30$59C₂C₁C₂01, 02, 03, C1, C2, C3 20C3C3because Cabinetmaker 1 hasfor cabinetmaker 1 will reduce total cost by $SSS||C3 =What is the total cost of completing both projects? If required, round your answer to the nearest dollar.of-b. Solve the model formulated in part (a). What percentage of the oak cabinets and what percentage of the cherry cabinets should beassigned to each cabinetmaker? If required, round your answers to three decimal places. If your answer is zero, enter "0".=Hours avail. 1Hours avail, 2Hours avail. 3Oakc. If Cabinetmaker 1 has additional hours available, would the optimal solution change? If required, round youranswers to three decimal places. If your answer is zero, enter "0". Explain.CherryTherefore, eachper hour, up to a maximum of

Question

d. If Cabinetmaker 2 has additional hours available, would the optimal solution change? If required, round youranswers to three decimal places. If your answer is zero, enter &#34;0&#34;. Use a minus sign to indicate the negativefigure. Explain.because Cabinetmaker 2 has aofadditional hour of time for cabinetmaker 2 will reduce cost by a total of $maximum oftotal hours.c. If Cabinetmaker 1 has additional hours available, would the optimal solution change? If required, round youranswers to three decimal places. If your answer is zero, enter &#34;0&#34;. Explain.because Cabinetmaker 1 has (additional hour of time for cabinetmaker 1 will reduglackhours.because Cabinetmaker 2 has aofadditional hour of time for cabinetmaker 2 will reduce cost by a total of $maximum oftotal hours.YesNod. If Cabinetmaker 2 has additional hours available, would the optimal solution change? If required, round youranswers to three decimal places. If your answer is zero, enter &#34;0&#34;. Use a minus sign to indicate the negativefigure. Explain.surplusdual valuebecause Cabinetmaker 2 has ae for cabinetmaker 2 will reduce cost by a total of $total hours.d. If Cabinetmaker 2 has additional hours available, would the optimal solution change? If required, round youranswers to three decimal places. If your answer is zero, enter &#34;0&#34;. Use a minus sign to indicate the negativefigure. Explain.because Cabinetmaker 2 has a Cadditional hour of time for cabinetmaker 2 will reduce slackmaximum oftotal hours.surplusdual valueTotal Cost = $d. If Cabinetmaker 2 has additional hours available, would the optimal solution change? If required, round youranswers to three decimal places. If your answer is zero, enter &#34;0&#34;. Use a minus sign to indicate the negativefigure. Explain.0₂=C₂ =The change in Cabinetmaker 2's cost per hour leads to changing icoefficients. This means that the linear programThe new optimal solutionThe new optimal solutionofTotal Cost = $The change in Cabinetmaker 2's cost per hour leads to changing (coefficients. This means that the linear program (e. Suppose Cabinetmaker 2 reduced its cost to $38 per hour. What effect would this change have on the optimalsolution? If required, round your answers to three decimal places. If your answer is zero, enter &#34;0&#34;.The new optimal solution CCabinetmaker 1 Cabinetmaker 2 Cabinetmaker 3Oak0₁ =03 =C3=Cherry C₁ =What is the total cost of completing both projects? If required, round your answer to the nearest dollar.ofThe change in Cabinetmaker 2's cost per hour leads to changingcoefficients. This means that the linear programThe new optimal solutiondiffers fromis the same as. Therefore, eachper hour, up to an overallTherefore, eachper hour, up to a maximum ofonetwothe one above buthreeofThe change in Cabinetmaker 2's cost per hour leads to changingcoefficients. This means that the linear programi.Therefore, eachper hour, up to an overallWhat is the total cost of completing both projects? If required, round your answer to the nearest dollar.Therefore, eachper hour, up to an overallthe one above but with a total cost of $solution given can be used again.heeds to be rerun.Therefore, eachper hour, up to an overallobjective functionthe one above but with a total cost of $objective functionobjective functionof $objective function Georgia Cabinets manufactures kitchen cabinets that are sold to local dealers throughout the Southeast. Because of a large backlog oforders for oak and cherry cabinets, the company decided to contract with three smaller cabinetmakers to do the final finishingoperation. For the three cabinetmakers, the number of hours required to complete all the oak cabinets, the number of hours required tocomplete all the cherry cabinets, the number of hours available for the final finishing operation, and the cost per hour to perform thework are shown here:Hours required to completeall the oak cabinetsHours required to complete.all the cherry cabinetsHours availableCost per hourMins.t.01Let O₁O₂0101For example, Cabinetmaker 1 estimates it will take 50 hours to complete all the oak cabinets and 60 hours to complete all the cherrycabinets. However, Cabinetmaker 1 only has 40 hours available for the final finishing operation. Thus, Cabinetmaker 1 can onlycomplete 40/50 = 0.8, or 80%, of the oak cabinets if it worked only on oak cabinets. Similarly, Cabinetmaker 1 can only complete40/60= 0.67, or 67%, of the cherry cabinets if it worked only on cherry cabinets.Oak 01 -Cherry C₁=Cabinetmaker 1 Cabinetmaker 2 Cabinetmaker 3a. Formulate a linear programming model that can be used to determine the percentage of the oak cabinets and thepercentage of the cherry cabinets that should be given to each of the three cabinetmakers in order to minimizethe total cost of completing both projects. If the constant is &#34;1&#34; it must be entered in the box.0₂YesNo0₂Total Cost = $500₂6040$320₂=C₂ =percentage of Oak cabinets assigned to cabinetmaker 1percentage of Oak cabinets assigned to cabinetmaker 203percentage of Oak cabinets assigned to cabinetmaker 3.C₁ percentage of Cherry cabinets assigned to cabinetmaker 1=C2 percentage of Cherry cabinets assigned to cabinetmaker 2C3 percentage of Cherry cabinets assigned to cabinetmaker 3030303441.14325$43C₁C₁Cabinetmaker 1 Cabinetmaker 2 Cabinetmaker 33033C₂30$59C₂C₁C₂01, 02, 03, C1, C2, C3 20C3C3because Cabinetmaker 1 hasfor cabinetmaker 1 will reduce total cost by $SSS||C3 =What is the total cost of completing both projects? If required, round your answer to the nearest dollar.of-b. Solve the model formulated in part (a). What percentage of the oak cabinets and what percentage of the cherry cabinets should beassigned to each cabinetmaker? If required, round your answers to three decimal places. If your answer is zero, enter &#34;0&#34;.=Hours avail. 1Hours avail, 2Hours avail. 3Oakc. If Cabinetmaker 1 has additional hours available, would the optimal solution change? If required, round youranswers to three decimal places. If your answer is zero, enter &#34;0&#34;. Explain.CherryTherefore, eachper hour, up to a maximum of

Accepted Answer

Decision Variables:
Suppose-O1 = percentage of oak cabinets assigned to cabinetmaker 1O2 =…