Bricktan Incorporated makes three products, Basic, Classic, and Deluxe. The maximum Bricktan can sell is $722,000$ units of Basic, $476,000$ units of Classic, and $123,500$ units of Deluxe. Bricktan has limited production capacity of $984,000$ machine hours. Machine hours per unit are as follows: Basic, $1$ hour; Classic, $1\mathrm{.}25$ hours; and Deluxe $2\mathrm{.}5$ hours. Contribution margin per unit is $$15$ for Basic, $$25$ for Classic, and $$55$ for Deluxe. What is the most profitable sales mix for Bricktan Incorporated?

Multiple Choice

$352,500$ Basic, $262,400$ Classic and $123,500$ Deluxe.

$617,500$ Basic, $0$ Classic and $123,500$ Deluxe.

$164,000$ Basic, $123,500$ Classic and $262,400$ Deluxe.

$80,250$ Basic, $476,000$ Classic and $123,500$ Deluxe.

$72,200$ Basic, $476,000$ Classic and $262,400$ Deluxe.