Problem #$3$

The Gardner Theater, a community playhouse, needs to determine the lowest$-$cost production budget for an upcoming show. Specifically, they have to determine which set pieces to construct and which, if any, set pieces to rent from another local theater at a predetermined fee. The set design requires twenty $(20)$ flats, two $(2)$ hanging drops, and three $(3)$ props. The production costs and rental prices for the components are summarized in Table A below.

TABLE A: Production Costs and Rental Prices for Gardner Theater Components

$\backslash$table$[[$Component$,$Cost per Unit$],[,\backslash$table$[[$Make$],[($regular time$)]],$Rent$],[$Flats$,$$$35\mathrm{.}00,$$$75\mathrm{.}00$