A linear programming computer package is needed. perform the work are shown here.Hours required to complete ail the oak cabinets.Hours required to complate all the cherry cahinets complete \(40/50=0.20\), or \(80\%\), of the cak cabinets if it worked only on oak cabinets. Similarly, Cabinetmaker 1 can only complete \(40/50=0.67\), or \(67\%\), of the cherry cabinets if it worked only on cherry cabinets. cabinetmaker \(1, C 2=\) percentage of cherry cabinets assigned to cabinetmaker 2, and \( C 3=\) percentage of cherry cabinets assigned to cabinetmaker 3.) Min [ s.t. Thours avallable 1 hours available 2 hours available 3 Enter Inequalities using less than (c), greater than (\(>\)), lass than or equal (\( s \)), or greater than or equal (\(>\)), cak Check which variable(s) should be in your answer. Enter an equation. chemy Einter an equation. O1, O2, O3, C1, C2, C3\(\geq 0\) one decimal place.)(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 \(\$-1.75\) per hour.Yes, each additional hour of time for cabinetmaker 1 will reduce the total cost by \(\$ 5\) per hour.No, cabinetmaker 1 has a slack of 26.458 hours, so increasing cabinetmaker 1's time will not reduce costs.No, cabinetmaker 1 has a slack of 37.5 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 \(\$-1.75\) per hour.Yes, each additional hour of time for cabinetmaker 2 will reduce the total cost by \(\$ 5\) per hour.No, cabinetmaker 2 has a slack of 26.458 hours, so increasing cabinetmaker 2's time will not reduce costs.No, cabinetmaker 2 has a slack of 37.5 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 \( O 2\) and \( C 2\) are [and , respectively. The optimal solution --Select--and has a value of \$