Rosie's Company has three products, P$1,$ P$2,$ and P$3.$ The maximum Rosie's can sell is $65,700$ units of $P1,24,700$ units of $P2,$ and $12,700$ units of $P3.$ Rosie's has limited production capacity of $136,000$ machine hours. Machine hours per unit are as follows: $P1,1$ hour; $P2,2$ hours; $P3,4$ hours. Contribution margin per unit is $$5$ for $P1,$$$15$ for $P2,$ and $$25$ for $P3.$ What is the most profitable sales mix for Rosie's Company?

Select one:

a$.$