(a) A firm has a total cost schedule of TC = 10 – 3q + 12q2. Draw a sketch graph of the total cost function showing all important points. (b) Assuming that the quantity sold is greater than 2 u...
8. (8 marks) Suppose the total cost function of a firm is: C = 3q’ – 12q2 + 20 Find the marginal cost function. Show your steps. (2 marks) Find the average total cost function. Show your steps. (2 marks) Find the output level that correspond to the efficient scale of the firm. Show your steps. (2 marks) Show your results in (c) in a diagram. (2 marks)
A firm produces a product in a competitive industry and has a total cost function (TC) of TC(a) 60+4q+2q2 and a marginal cost function (MC) of MC(q) = 4 + 4q. At the given market price (P) of $20, the firm is producing 4.00 units of output. Is the firm maximizing profit?V What quantity of output should the firm produce in the long run? The firm should produce unit(s) of output. (Enter your response as an integer.)
Consider the cost function C(Q) = 60Q – 12Q2 + Q3. a. Sketch the total cost, the total variable cost, and the fixed cost for 0-12 units of output. b. Find expressions for the ATC, AVC, AFC, and MC curves, and sketch the curves on a single graph, making sure the curves are correctly related to each other. At what output level does ATC reaches its minimum? c. What can you say about the shape of the marginal product of...
Given the total cost function for a firm is (Q = output and TC = total cost) Q TC 0 0 1 20 2 39 3 56 4 71 5 84 6 95 the average total cost of producing six units of output is $15.83 True OR Flase
Assume that a competitive firm has the total cost function: TC=1q3−40q2+740q+1500 Suppose the price of the firm's output (sold in integer units) is $750 per unit. Using calculus and formulas (but no tables and restricting your use of spreadsheets to implementing the quadratic formula) to find a solution, what is the total profit at the optimal integer output level? Please specify your answer as an integer. Hint 1: The first derivative of the total cost function, which is cumulative, is...
2 Suppose that paper factory had a total cost function given by: TC 588 +q +3q . The paper factory is a price taker and the price of a unit of paper is $109. Calculate the profit-maximizing quantity of paper. (Round to the nearest two decimal places if necessary.) Answer:
2. Propose and sketch a demand function for a product that currently sells for $500 with quantity sold at 25. Write both regular and inverse demand functions. 3. Representative firm in an industry has total cost function TC(a) -1849+and marginal cost function MC-2q a) What is the fixed cost function for the firm? What is the variable cost function? b) Derive average total, average fixed and average variable cost functions. c) Find the minimum efficient scale (-output that corresponds to...
6. (10 points) Draw a graph showing the short-run average total, average variable, and marginal cost curves for a typical firm. Draw in three prices that result in the firm making positive profits, breaking even, and making negative profits that are less than fixed costs.
6. (10 points) Draw a graph showing the short-run average total, average variable, and marginal cost curves for a typical firm. Draw in three prices that result in the firm making positive profits, breaking even,...
1. A firm has a total cost function TC(y) 10y 5y+ 40. a) What is the firm's marginal cost of producing 100 units of output? b) What is the average variable cost of producing 100 units of output? c) At what level of output is average total cost at a minimum?
(10 pts) A firm has the following relationship between output (Q) and total cost (TC): Q TC 0 $100 1 110 2 130 3 160 4 200 5 250 6 310 7 380 8 460 9 550 10 650 Say the firm is a perfect competitor. If the market price for its product is $ 80, at what output level will this firm produce at (as a profit maximizer)? At the output level in (a), are firms in this industry...