Material Requirements and Pricing Information

The theater has two part$-$time carpenters who work up to $10$ hours a week, each at

$$10$ an hour, and a part$-$time scenic artist who can work $16$ hours per week to paint

the set and props as needed at a rate of $$13$ per hour. The set design requires $19$

flats $($walls$),2$ hanging drops with painted scenery, and $4$ large wooden tables

$($props$).$ The number of hours required for each piece for carpentry and painting is

shown in the accompanying table. Flats, hanging drops, and props can also be

rented at a cost of $$80\mathrm{.}00,$$$650\mathrm{.}00,$ and $$325\mathrm{.}00,$ respectively.

Possible Best Solutions

Some possible best solutions to try are listed below.

The solution in which all of the flats, hanging drops, and props are built in$-$house

The solution in which the theater builds $3$ flats, $1$ hanging drop, and $3$ props

The solution in which the theater builds $1$ flat, $1$ hanging drop, and $4$ props

The solution in which the theater builds $0$ flats, $2$ hanging drops, and $2$ props