2. Let the cost function of the honey farm be CH(H, A) = 100-3A and let the cost function of the apple orchard be CA(H, A) = where H and A are the number of units of honey and apples produced, respectively. The price of honey is $7 and the price of apples is $5 per unit. Let A, be the output of apples if the firms operate independently, and let A₂ be the output of apples if the firms are operated by a profit-maximizing single owner. Calculate A₁ and A₂. 2.1 A₁ is equal to

2. Let the cost function of the honey farm be CH(H, A) = 100-3A and let the cost function of the apple orchard be CA(H, A) = where H and A are the number of units of honey and apples produced, respectively. The price of honey is $7 and the price of apples is $5 per unit. Let A, be the output of apples if the firms operate independently, and let A₂ be the output of apples if the firms are operated by a profit-maximizing single owner. Calculate A₁ and A₂. 2.1 A₁ is equal to

Microeconomics A Contemporary Intro

10th Edition

ISBN:9781285635101

Author:MCEACHERN

Publisher:MCEACHERN

Chapter7: Production And Cost In The Firm

Section: Chapter Questions

Problem 19PAE

See similar textbooks

Similar questions

A firm in a perfectly competitive industry has patented a newprocess for making widgets. The new process lowers the firm’saverage cost, meaning that this firm alone (although still aprice taker) can earn real economic profits in the long run. a. If the market price is $20 per widget and the firm’s marginalcost is given by MC=0.4q , where q is the dailywidget production for the firm, how many widgets willthe firm produce? b. Suppose a government study has found that the firm’snew process is polluting the air and estimates the socialmarginal cost of widget production by this firm to be. If the market price is still $20, what is thesocially optimal level of production for the firm? Whatshould be the rate of a government-imposed excise tax tobring about this optimal level of production? c. Graph your results.
Suppose the short-run cost function of Tyrell Corporation is c=5000+100q+8q2 a. Find the level/s of q that satisfies/satisfy the first-order and second-order conditions for the minimisation of Tyrell’s average cost(ac) Show that average cost ( ac) equals marginal cost (mc) at the level/s of obtained in (a)
Suppose the production function for a competitive firm is y=f(x1,x2)= x1 1/4 x2 1/4 . The cost per unit of the first input is w1 and the cost of the second input is w2. A: What are the returns to scale of this production function? B: Find the cheapest input bundle, x1 and x2, that yields the given output level of y. C: Write down the formula of the firm’s total costs as a function of y. D: Are the average costs increasing, constant or decreasing in y? Are the marginal costs increasing, constant or decreasing in y?
Consider a firm with production function in the Cobb-Douglas form q = K^.5L^.5 Suppose that one unit of capital costs r=12.5, whereas one unit of labor costs w=8. Determine the optimal input mix that leads to an output of q = 2. Determine the firm’s cost function, that is, the minimum cost required to produce output q.
Consider a firm with a total cost function TC = q^2 + 20q + 225. a) In a diagram, measuring quantity along the horizontal axis, draw the firm’s Marginal Cost and Average Cost curves. Suppose that the government introduces a $10 per unit seller tax. b) What is the firm’s new total cost function? In the same diagram as above, illustrate how the tax affects the firm’s MC and AC curves. Does the tax affect the firm’s MC? Does it affect the firm’s minimum efficient scale? Suppose instead that the government introduces a new licensing fee that raises the firm’s recurring fixed cost to 400. C) In a new diagram draw the firm’s MC and AC before and after the introduction of the licensing fee. Does the fee affects’ the firm’s MC? Does it affect the firm’s minimum efficient scale?
Consider that a company has a total cost function TC = 3Q3+2Q2+6. a.What is the average and marginal cost function and what are their values ifQ = 8?b. If the (inverse) demand function facing the firm is P = 6 - 2Q, what value must the slope of the isobenefit curve take for the firm to maximize its profit? Indicate the generic condition as well.
An economist estimated that the cost function of a single-product firm isC(Q) = 100 + 20Q + 15 Q^2 + 10 Q^3Based on this information, determine:c. The total cost of producing 10 units of output.
Assume that an entrepreneur’s short-run total cost function is C = 10q^2 + 17q + 66.Determine the output level at which he maximizes profit if p = 5.
Modified True or False: State whether each statement is true or false. If the statement is false, briefly explain why it is so, and then restate it to make it true. The shapes of long-run cost curves follow directly from the assumption of a fixed factor of production, which implies diminishing returns. The optimal scale of plant is the scale of plant that maximizes average cost. In the long-run competitive equilibrium, each individual firm chooses a scale of operations that minimizes its long-run average cost. Answer correctly and explain within 30mins will give you positive feedback.