ECO 550 Week 5 Chapter 9 and Chapter 10 Problems
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3. A study of the costs of electricity generation for a sample of 56 British firms in 1946-1947 yielded the following long-run cost function:
+ .003Q + .0000029Q^2 - .000046QZ - .026Z + .00018Z^2
where variable cost measured in pence per kilowatt-hour. (A pence was a British monetary unit equal, at that time to 2 cents U.S.)
measured in millions of kWh per year
size, measured in thousands of kilowatts
A. Determine the long-run variable cost function for electricity generation.
B. Determine the long-run marginal cost function for electricity generation.
C. Holding plant size constant at 150,000 kilowatts, determine the short-run average variable cost and marginal cost functions for electricity generation.
D. For a plant size equal to 150,000 kilowatts, determine the output level that minimizes short-run average variable costs.
E. Determine the short-run average variable cost and marginal cost at the output level obtained in Part (D).
4. Assuming that all other factors remain unchanged, determine how a firm’s breakeven point is affected by each of the following:
A. The firm finds it necessary to reduce the price per unit because of competitive conditions in the market.
B. The firm’s direct labor costs increase as a result of a new labor contract.
C. The Occupational Safety and Health Administration requires the firm to install new ventilating equipment in its plant. (Assume that this action has no effect on worker product
5. Cool-Aire Corporation manufactures a line of room air conditioners. Its break even sales level is 33,000 units. Sales are approximately normally distributed. Expected sales next year are 40,000 units with a standard deviation of 4,000 units.
A. Determine the probability that Cool-Aire will incur an operating loss.