Princeton Manufacturing Company summarizes the following total cost data for the month of March. Princeton has a normal capacity per month of 25,000 units of product that sell for $80 each. For the foreseeable future, sales volume should equal normal capacity of production.

Direct material $590,000

Direct labor 330,000

Variable overhead 170,000

Fixed overhead (Note 1 280,000

Selling expense (Note 2 160,000

Administrative expense (fixed) 112,000

$1,642,000

Notes:

1. Beyond normal capacity, fixed overhead cost increases $12,700 for each 1,000 units or fraction thereof until a maximum capacity of 30,000 units is reached.

2. Selling expenses are a 5% sales commission plus shipping costs of $2.40 per unit.

a. Using the information available, prepare a formula to estimate Princeton's total cost at various production volumes up to normal capacity.

Total cost = X# of units.

b. Prove your answer in requirement (a) relative to the total cost figure for 25,000 units.

Total cost = Fixed cost + Variable cost

c. Calculate the planned total cost at 20,000 units.

d. If Princeton were operating at normal capacity and accepted an order for 500 more units, what would it have to charge for the order to earn a net income before income tax of $16 per unit on the new sale?

Required selling price per unit