Exam 2: Optimal Decisions Using Marginal Analysis

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What is the law of demand? How do managers use it in decision-making?

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The demand for a product is given by P = 1,750 - 25Q. If the firm wishes to sell 50 units, each unit should be priced at:

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Suppose the inverse demand curve of a firm is given by the equation: P = 2,500 - 10Q. Compute the firm's total revenue and marginal revenue, and determine the quantity that maximizes total revenue.

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How will an increase in price affect the quantity of output sold by a firm? What are the reasons for this change?

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The following table shows the total revenue (in dollars) and total cost (in dollars) from the production and sale of different units of a product. Table 2-1 Price Quantity Total Revenue Total Cost 15 1 15 3 14 2 28 7 13 3 39 12 12 4 48 18 11 5 55 25 10 6 60 33 -Refer to Table 2-1. What is the profit-maximizing level of output for the firm?

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For a downward-sloping demand curve, the associated marginal revenue curve:

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Given that a firm's inverse demand function is P = 100 - 5Q and total cost is given by C = 550 + 10Q, what is the firm's profit-maximizing level of output?

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Which of the following correctly defines marginal cost?

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Carefully define marginal analysis, and explain how it is useful in managerial economics.

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According to the model of the firm, the management's main goal is to:

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A firm negotiates a new labor contract with a higher average hourly wage. What is the most likely effect of the higher wage on the firm's price and output?

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Which of the following is true of a firm facing a downward sloping demand curve?

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To maximize profit, the firm should set output at the level where:

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A firm faces the demand curve, P = 80 - 3Q, and has the cost equation: C = 200 + 20Q, where P = price, C = total cost, and Q = quantity. (a) Find the optimal quantity and price for the firm. (b) Now suppose that the demand for the firm’s product changes to: P = 110 – 3Q. Find thenew optimal quantity and price. Has there been an increase or a decrease in demand? Explain.

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According to the law of demand, if a firm reduces the price of its good:

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The following table shows the total revenue and total cost (in dollars) from different sales volumes of the good. Table 2-1 Price Quantity Total Revenue Total Cost 15 1 15 3 14 2 28 7 13 3 39 12 12 4 48 18 11 5 55 25 10 6 60 33 -Refer to Table 2-1. What is the firm's profit from selling 3 units of the good?

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Which of the following correctly defines marginal revenue?

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Suppose a firm's inverse demand function is P = 40 - 8Q. What is the firm's revenue function?

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Night Timers is a small company manufacturing glow-in-the-dark products. One of the hottest items the engineering department has developed is adhesive tape that can be applied to walls and floors. Night Timers' chief engineer anticipates that the product will be sold in ten-foot rolls. At present, the company's maximum production capacity is 140,000 rolls per year. The engineer believes the cost function to be described by C = $50,000 + 0.25Q, where C is total cost and Q is number of rolls (The high fixed costs represent development cost and tooling to prepare coating equipment). Night Timers' president seeks to establish a price that maximizes profit (since she is the chief stockholder). She thinks that the firm should be able to sell at least 125,000 rolls of tape per year. (a) If Night Timers plans to sell 125,000 rolls per year, what is the necessary price if the firm is to break even? What if it can only sell 100,000? (b) The marketing manager forecasts demand for the tape to be: Q = 350,000 - 200,000P.Find the firm's profit-maximizing output and price. (c) If the estimated demand as given by Q = 350,000 - 200,000P is realized in the first year of production, should the company consider expanding capacity? Explain.

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Assume that Burger King, a fast food chain, enters into a franchise agreement. The royalty paid to Burger King by the franchisee is calculated as a percentage of the franchisee's revenue. Given that the franchisee faces a downward-sloping demand curve, which of the following is likely to be true?

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