(Solved): available for the final finishing operation, and the cost per hour to perform the work are showin ...

available for the final finishing operation, and the cost per hour to perform the work are showin here: worked only on cherry cabinets. the total cost of completing both projects. $$\text{ Let }\begin{array}{rl}{\mathrm{O}}_1& =\text{ proportion of Oak cabinets assigned to cabinetmaker }1\\ {\mathrm{O}}_2& =\text{ proportion of Oak cabinets assigned to cabinetmaker }2\\ {\mathrm{O}}_3& =\text{ proportion of Oak cabinets assigned to cabinetmaker }3\\ {\mathrm{C}}_1& =\text{ proportion of Cherry cabinets assigned to cabinetmaker }1\\ {\mathrm{C}}_2& =\text{ proportion of Cherry cabinets assigned to cabinetmaker }2\\ {\mathrm{C}}_3& =\text{ proportion of Cherry cabinets assigned to cabinetmaker }3\end{array}$$ the total cost of completing both projects. $$\text{ Let }\begin{array}{rl}{\mathrm{O}}_1& =\text{ proportion of Oak cabinets assigned to cabinetmaker }1\\ {\mathrm{O}}_2& =\text{ proportion of Oak cabinets assigned to cabinetmaker }2\\ {\mathrm{O}}_3& =\text{ proportion of Oak cabinets assigned to cabinetmaker }3\\ {\mathrm{C}}_1& =\text{ proportion of Cherry cabinets assigned to cabinetmaker }1\\ {\mathrm{C}}_2& =\text{ proportion of Cherry cabinets assigned to cabinetmaker }2\\ {\mathrm{C}}_3& =\text{ proportion of Cherry cabinets assigned to cabinetmaker }3\end{array}$$ round your answers for the proportions to three decimal places, and for the total cost to two decimal places. $$\text{ Total Cost }=\$$$ c. If Cabinetmaker 1 has additional hours available, would the optimal solution change? Explain. The input in the box below will not be graded, but may be reviewed and considered by your instructor. d. If Cabinetmaker 2 has additional hours available, would the optimal solution change? Explain. The input in the box below will not be graded, but may be reviewed and considered by your instructor. The input in the box below will not be graded, but may be reviewed and considered by your instructor. e. Suppose Cabinetmaker 2 reduced its cost to $$\$39$$ per hour. What effect would this change have on the opti decimal places. Total Cost $$=\$$$ Explain. The input in the box below will not be graded, but may be reviewed and considered by your instructor.