Product Pricing and Profit Analysis with Bottleneck Operations

Atlas Steel Company produces three grades of steel: high, good, and regular grade. Each of these products (grades) has high demand in the market, and Atlas is able to sell as much as it can produce of all three. The furnace operation is a bottleneck in the process and is running at 100% of capacity. Atlas wants to improve steel operation profitability. The variable conversion cost is $12 per process hour. The fixed cost is $410,000. In addition, the cost analyst was able to determine the following information about the three products:

The furnace operation is part of the total process for each of these three products. Thus, for example, 5 of the 15 hours required to process High Grade steel are associated with the furnace.

1.Determine the unit contribution margin for each product.

Contribution margin per unit
High Grade	$
Good Grade	$
Regular Grade	$

2.Provide an analysis to determine the relative product profitability, assuming that the furnace is a bottleneck. If required, round your answers to two decimal places.

Contribution margin per furnace hour
High Grade	$
Good Grade	$
Regular Grade	$

3.Assume that management wishes to improve profitability by increasing prices on selected products. At what price would High and Good grades need to be offered in order to produce the same relative profitability as Regular Grade steel?

Revised Price of High Grade Steel	$
Revised Price of Good Grade Steel	$

Please show work