PR 11-5A Product pricing and profit analysis with bottleneck operations Obj. 3 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 $15 per process hour. The fixed cost is $200,000. 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 5,000 5.000 5,000 Total process hours per unit 12 11 10 Furnace hours per unit 3 2.5 Unit selling price $280 $270 $250 Direct materials cost per unit $90 $84 $80 The furnace operation is part of the total process for each of these three products. Thus, for example, 4.0 of the 12.0 hours required to process High Grade steel are associated with the furnace. Instructions 1. Determine the unit contribution margin for each product. 2. Provide an analysis to determine the relative product profitability, assuming that the furnace is a bottleneck.Good Regular Grade Grade Selling price 21'0 $ 250 Variable conversion cost per unit (105) $ (150) Direct materials cost per unit (84) (80) Total cost per unit Contribution margin per unit 21 $ 20 High Good Regular Grade Grade Grade Contribution margin per unit 5}; 20.00 Divided by furnace (bottleneck) hours per unit 2.5 Contribution margin per furnace hour .15 8.00 [Key essay answer here]