A linear programming computer package is needed.

cherry cabinets, the number of hours avaliagle for the final finishing operation, and the cost per hour to perform the work are shown here.

the cherry cabinets if it worked only on cherry cabinets.

percentage of oak cabinets assigned to cabinetmaker $3,C1=$ percentage of cherry cabinets assigned to cabinetmaker $1,C2=$ percentage of cherry cabinets assigned to cabinotmaker $2,$ and $C3=$ percentage of cherry cabinets assigned to cabinetmaker $3.)$

Min

$01,02,03,C1,C2,C30$

$($c$)$ If Cabinetmaker $1$ has additional hours avallable, would the optimal solution change? Explain.

Yes, each additional hour of time for cabinetmaker $1$ will reduce the total cost by $$-1\mathrm{.}75$ per hour

Yes, each additional hour of time for cabinetmaker $1$ will reduce the total cost by $$5$ per hour.

No$,$ cobinetmaker $1$ has $p$ slack of $26\mathrm{.}458$ hours, so increasing cabinetmaker $1\text{'}$s time will not reduce costs.

No$,$ cabinetmaker $1$ has a slack of $37\mathrm{.}5$ hours, $50$ increasing cabinetmaker $1\text{'}$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\mathrm{.}75$ per hour

Yes, each additional hour of time for cabinetmaker $2$ will reduce the total cost by $$5$ per hour.

$($c$)$ Suppose Cabinetmaker $2$ reduced its cost to $$38$ per hour. What effect would this change have on the optimal solution? Explain.

and has a value of ;