Pickson Luthiers Corporation makes four models of electric guitars, ScarCT, Dela Mort, Warax, and Invazen. Each guitar must flow through five departments, assembly, painting, sound testing, inspection, and packaging. The table below shows the relevant data. Production rates are shown in units$/$hour$.($ScarCT is assembled elsewhere$).$ Pickson wants to determine how many guitars to make to maximize monthly profit.

Pickson Luthiers Corporation $$

$$

Data $$

Guitar Model Selling price$/$Unit Variable cost$/$Unit Min Sales Max Sales $$

ScarCT $750\mathrm{.}00660\mathrm{.}0002500$

Dela Mort $880\mathrm{.}00680\mathrm{.}0002000$

Warax $800\mathrm{.}00700\mathrm{.}001001000$

Invazen $850\mathrm{.}00700\mathrm{.}0080500$

$$

Production rates $($units$/$hour$)$ ScarCT Dela Mort Warax Invazen Hours Available

Assembly $-352520270$

Painting $35201510270$

Sound Testing $20102018270$

Inspection $101285270$

Packaging $91058270$

Use a linear optimization model based on the data to answer the following question.

According to the linear optimization model, what would be the total time spent for assembling the Invazen models?

$20$

$8$

$18$

$4$