1. Product Pricing and Profit Analysis with Bottleneck Operations

   Hercules Steel Company produces three grades of steel: high, good, and regular grade. Each of these products (grades) has high demand in the market, and Hercules 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. Hercules wants to improve steel operation profitability. The variable conversion cost is $14 per process hour. The fixed cost is $449,000. In addition, the cost analyst was able to determine the following information about the three products:

   	High Grade		Good Grade		Regular Grade
   Budgeted units produced	6,000		6,000		6,000
   Total process hours per unit	17		15		12
   Furnace hours per unit	3		4		5
   Unit selling price	$372		$333		$320
   Direct materials cost per unit	$110		$107		$97

   The furnace operation is part of the total process for each of these three products. Thus, for example, 3 of the 17 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.

   	Contribution Margin Per Furnace Hour
   High Grade	$
   Good Grade	$
   Regular Grade	$