A linear programming computer package is needed.

worked only on cherry cabinets.

a$)$

Min$1800O_1+1764O_2+1650O_3+2160C_1+2106C_2+1925C_3$

s$.$t$.$

$O_1,O2,O3,C1,C2,C30$

projects? $($Round your percentage values to 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\mathrm{.}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 $of37\mathrm{.}5$ hours, $so$ increasing cabinetmaker $1\text{'}s$ time will not reduce

costs.

$No,$ cabinetmaker $1$ has a slack $of26\mathrm{.}458$ hours, $so$ increasing cabinetmaker $1\text{'}s$ time will not reduce

costs.

$($d$)$

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.

$No,$ cabinetmaker $2$ has a slack $of37\mathrm{.}5$ hours, $so$ increasing cabinetmaker $2\text{'}s$ time will not reduce

costs.

$No,$ cabinetmaker $2$ has a slack $of26\mathrm{.}458$ hours, $so$ increasing cabinetmaker $2\text{'}s$ time will not reduce

costs.

$($e$)$ Suppose Cabinetmaker $2$ reduced its cost to $$38$ per hour. What effect would this change have on the optimation

The new objective function coefficients for $O2$ and $C2$ are $$ and $,$ respectively. The optimal solution does not change $$ and has a value of $$3552\mathrm{.}50,.,$