Logan Company produces two products, Standard and Premier. Logan can sell all of the Standard and Premier products it can produce, but it has limited production capacity. Machine hours per unit for Standard is $1$ hour and for Premier is $1\mathrm{.}5$ hours. The company has $216,000$ machine hours available. Contribution margin per unit is $$24$ for Standard and $$30$ for Premier. What is the most profitable sales mix for Logan Company?

Multiple Choice

$120,000$ Standard units and $64,000$ Premier units.

$36,000$ Standard units and $120$;$000$ Premier units.

$180,000$ Standard units and $24,000$ Premier units.

$216,000$ Standard units and $0$ Premier units.

$$ O Standard units and $144,000$ Premier units.