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Magpie Corporation uses the total cost method of product pricing. Below is cost information for the production and sale of $55,000$ units of its sole product. Magpie desires a profit equal to a $18\%$ return on invested assets of $$599,000.$

Line Item DescriptionAmountFixed factory overhead cost$$37,500$Fixed selling and administrative costs$8,000$Variable direct materials cost per unit$4\mathrm{.}37$Variable direct labor cost per unit$1\mathrm{.}88$Variable factory overhead cost per unit$1\mathrm{.}13$Variable selling and administrative cost per unit$4\mathrm{.}50$

The dollar amount of desired profit from the production and sale of Magpie's product is

a$.$ $$215,640$

b$.$ $$86,256$

c$.$ $$107,820$

d$.$ $$599,000$