Franklin Company makes and sells lawn mowers for which it currently makes the engines. It has an opportunity to purchase the

engines from a reliable manufacturer. The annual costs of making the engines are shown here.

Cost of materials Units $$$$13$

Labor Units $$$$28$

Depreciation on manufacturing equipment$*$

Salary of supervisor of engine production

Rental cost of equipment used to make engines

Allocated portion of corporate$-$level facility$-$sustaining costs

Total cost to make $13,600$ engines

$$176,800$

$380,800$

$40,000$

$85,000$

$14,000$

$75,000$ $$771,600$

$*$The equipment has a book value of $$97,000$ but its market value is zero.

Required

a$.$ Determine the maximum price per unit that Franklin would be willing to pay for the engines.

b$.$ Determine the maximum price per unit that Franklin would be willing to pay for the engines, if production increased to $18,750$ units.

$($For all requirements, Round your answers to $2$ decimal places.$)$

Answer is complete but not entirely correct.