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Alpha Company Produces Two Models of a Component: Model K-3

question 47

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Alpha Company produces two models of a component: Model K-3 and Model P-4. The unit contribution margin for Model K-3 is $6, and the unit contribution margin for Model P-4 is $14. Each model must spend time on a special machine. The firm owns two machines that together provide 4,000 hours of machine time per year. Model K-3 requires 15 minutes of machine time; Model P-4 requires 30 minutes of machine time.
-Refer to the Figure.Suppose Alpha Company can sell only 5,500 units of each model.How many units of Model P-4 should be produced?


Definitions:

Negative Economic Profit

A situation where a firm's total revenues are less than the sum of its explicit and implicit costs, indicating a loss in economic terms.

Perfectly Competitive

A market structure where many firms offer products that are similar and entry and exit from the market are easy, leading to price being determined by supply and demand.

AVC

Average Variable Cost, calculated by dividing total variable costs by the quantity of output produced.

Short-Run Cost Curve

A curve that shows how production costs change as output is increased or decreased, assuming some inputs are fixed.

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