2. Let a firm's short run total cost curve be given by c(y) = 10+10y-y²+0.25y³; therefore: MC = 10 – 2y + 0.75y². All fixed costs are sunk. (a) Find the firm's short run supply curve (you may write it in inverse form). Draw it on a graph. (b) How much will the firm produce if p = $10? At this point, is the firm covering all costs (including fixed costs)?

2. Let a firm's short run total cost curve be given by c(y) = 10+10y-y²+0.25y³; therefore: MC = 10 – 2y + 0.75y². All fixed costs are sunk. (a) Find the firm's short run supply curve (you may write it in inverse form). Draw it on a graph. (b) How much will the firm produce if p = $10? At this point, is the firm covering all costs (including fixed costs)?

Microeconomics: Principles & Policy

14th Edition

ISBN:9781337794992

Author:William J. Baumol, Alan S. Blinder, John L. Solow

Publisher:William J. Baumol, Alan S. Blinder, John L. Solow

Chapter7: Production, Inputs, And Cost: Building Blocks For Supply Analysis

Section: Chapter Questions

Problem 1DQ

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3. XYZ corporation produces widgets. Its short-run marginal cost curve is given by MC (q) = 10 – 5q + q² (this is a parabola whose minimum occurs at q = 2.5). XYZ's fixed costs are 10. In a two panel diagrams, graph the following cost curves: (a) total cost, (b) total variable cost, (c) total fixed cost, (d) marginal cost, (e) average variable cost, and (f) average total cost. Your diagrams do not need to be scale, but must be internally consistent (i.e. the relationships between different curves must be correct). You do not need to find mathematical expressions for the other cost curves – you only need to sketch lines that are consistent with the shape of the marginal cost curve.
Suppose a firm manufactures coffee makers and sells them for $75$75 each. The costs incurred for production and sale of the coffee makers are $1,000$1,000 plus $13$13 for each coffee maker produced.a. Write the function for monthly total costs C(x)=C(x)= b. What is the fixed cost? c. What is the marginal cost? d. Interpret the marginal cost. Each additional coffee maker made decreases the cost by this many dollars. If the number of coffee makers increases by this amount, the cost increases by $1. Each additional coffee maker made yields this many dollars in cost. If the number of units made is increased by this amount, the cost decreases by $1. e. What is C(300)C(300) ? f. Interpret C(300)C(300) When this many coffee makers are produced the cost is $300300. For every additional coffee maker produced the cost increases by this much. This is the cost (in dollars) of producing 300 coffee makers. For each $1 increase in cost this many more coffee makers can…
a) How do you derive the marginal cost (MC) curve of a firm?b) How are average variable cost (AVC) and marginal cost (MC) curvesrelated? Explain.
We expect the marginal cost to increase as this firm produces more computers. But when the firm shifts from producing 1 to 2 computers, marginal cost falls. Why?
1. Suppose marginal cost and average cost are given by the following expressions: MC(x)=3x1/2, AC(x)=2x1/2. What is the profit maximising quantity when p=$3?2. Suppose marginal cost and average cost are given by the following expressions: MC(x)=3x1/2, AC(x)=2x1/2. What is the value pf the long-run break-even price?3. For any given level of the price of output, the supply curve of a producer tells the producer the amount of output to produce in order to maximise profits a. True b. False
We expect the marginal cost to increase as this firm produces more computers. But when the firm shifts from producing 1 to 2 computers, marginal cost falls. What might explain this?
please help
e) In the following diagram of cost curves, how many short runs have been created? State and explain which SRATC will be chosen if the firm wants to produce at Q1, Q2 and Q3. SRATC, SRATC, SRATC, Q2 Q3 Quantity of Output Average Total Cost (dollars)
Graphically show the relationship between the total fixed cost, the total variable cost, and the total cost. Draw a total cost curve and total revenue curve so that at some outputs that the firm takes losses, outputs where the firm makes unnecessary profits, and where the firm makes only necessary profits. Then, pick a point where the firm is taking losses and show on the graph, the firm’s total losses. Do the same for a point (an output level) where the firm may be making unnecessary profits.
5. Suppose a firm's cost function is given as C = 6q+10q2-4142+30 and it must be that 91 +92 = 34. What q1 and q2 will minimize cost?
20 AVC 10 MC 15 t0 15 20 25 30 35 40 45 50 QUANTITY (Thousands of pans) For each price in the following table, calculate the firm's optimal quantity of units to produce, and determine the profit or loss if it produces at that quantity, using the data from the graph to identify its total variable cost. Assume that if the firm is indifferent between producing and shutting down, it will produce. (Hint: You can select the purple points (diamond symbols] on the graph to see precise information on average variable cost.) Price Quantity (Pans) Total Revenue Fixed Cost Variable Cost Profit (Dollars per pan) (Dollars) (Dollars) (Dollars) (Dollars) 25.00 1,600,000 70.00 1,600,000 100.00 1,600,000 If the firm shuts down, it must incur its foxed costs (FC) in the short run. In this case, the firm's fxed cost is $1,600,000 per day. In other words, if it shuts down, the firm would suffer losses of $1,600,000 per day until its fixed costs end (such as the expiration of a building lease). This firm's…
Using the Diagram above, answer the following questions: b). Suppose this firm produces 15 units of output. What is the variable cost of producing this level of output? What is the firm’s AVC of production when it produces 15 units of output. Explain your answer fully.