$10\mathrm{.}5$

Textbook Question $12-$ Quality Air Conditioning manufactures three home air conditioners: an economy model, a standard model, and a deluxe model. The profits per unit are $$63,$ $$95,$ and $$135,$ respectively. The production requirements per unit are as follows:

Number of Fans

Number of Cooling Coils

Manufacturing Time $($hours$)$

Economy

$1$

$1$

$8$

Standard

$1$

$2$

$12$

Deluxe

$1$

$4$

$14$

For the coming production period, the company has $200$ fan motors, $320$ cooling coils, and $2400$ labor hours of manufacturing time available. How many economy models $($E$),$ standard models $($S$),$ and deluxe models $($D$)$ should the company produce in order to maximize profit? The linear programming model for the problem is as follows:

$3\mathrm{.}17.$png

The computer solution is shown in Figure $3\mathrm{.}17.$

Figure $3\mathrm{.}17$

The Solution for the Quality Air Conditioning Problem

Solution $3\mathrm{.}17.$png

Which constraint shows extra capacity? How much?

Group of answer choices

Labor hours; $320$ hours available.

Cooling coils; $320$ hours available.

Labor hours; $2400$ hours available.

Fan motors; $320$ hours available.

None of other choices

Labor hours; $135$ hours available.