Gemini Steel Company produces three grades of steel: high, good, and regular grade. Each of these products (grades) has high demand in the market, and Gemini 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. Gemini wants to improve steel operation profitability. The variable conversion cost is $8 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.Instructions1. Determine the unit contribution margin for each product.2. Provide an analysis to determine the relative product profitabilities, assuming that the furnace is a bottleneck.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 Gradesteel?

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Good Grade High Grade Regular Grade Budgeted units produced Total process hours per unit Furnace hours per unit Unit selling price Direct materials cost per unit 5,000 15 5,000 15 5,000 12 3 $270 $120 $250 $210 $78 $100