competitive firm has a single factory with the cost function C(q) = 5q² + 79 and produces 32 units order to maximise profits. Although the price of output does not change, the firm decides to build second factory with the cost function C(q) = 8q2 + 29. To maximise its profits, how many units ould it produce in the second factory? Dund vour answer to two decimal places if necessary)
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- Suppose the firm achieves total revenue of $1,000 by selling 150 units while facing total costs of $900. If the firm produces and sells 151 units, its total revenue is $1,005, and its total costs are $950. Should the firm produce and sell the extra unit? Group of answer choices yes, since marginal profit is positive yes, since profits are positive no, since marginal profit is negative no, since marginal profit is positive You have recently learned that the company where you work is being sold for $1,000,000. The company's income statement indicates next year's profits of $30,000, which have yet to be paid out as dividends. Assuming the company will remain a "going concern" indefinitely and the interest rate will remain constant at 7%, at what (constant) rate does the owner believe that profits will grow? (Hint: the price the owner was willing to pay is the present value of the firm's future cash flows) Group of answer choices 6% 5% 4% 4.5%Month (m): 4 Day (d): 1 Use the two numbers above, m and d, to complete the cost function for a perfectly competitive firm: Cost (q) = m q2 + d = (30) For a cost function like yours, Marginal Cost (MC) = 2 m q . Specifically, what are the following for the cost function you wrote out above? Fixed Cost = Average Total Cost = Cost (q)/q = Variable Cost = Average Fixed Cost = FC/q = Marginal Cost = 2 m q = Average Variable Cost = VC/q = (15) Fill in the table with your values from your cost function. q Total Cost AVC AFC ATC MC 0 0 0 -- -- -- 1 2 3 4 5 6A firm has a fixed production cost of $4000. For the first 100 units of production, the firm has a marginal cost of $50 per unit produced. Producing more than 100 units has a marginal cost of $70 per unit produced. The firm cannot produce more than 150 units. How much does it cost to produce at q=0? at q=50? at q=100? at q=125? at q=150? Graph the firm’s marginal cost function
- An accountant for a car rental company was recently asked to report the firm's costs of producing various levels of output. The accountant knows that the most recent estimate available of the firm's cost function is C(Q) = 100 + 10Q + Q^2, where costs are measured in thousands of dollars and output is measured in thousands of hours rented. a. What is the average fixed cost of producing 2 units of output? b. What is the average variable cost of producing 2 units of output? c. What is the average total cost of producing 2 units of output? d. What is the marginal cost of producing 2 units of output? e. What is the relation between the answers to (a), (b), and (c) above? Is this a general property of average cost curves?A Chinese high technology manufacturing firm has a production function of 0.80 0.20 q=16L (based on Zhang, et al., 2012). It faces prices of w=$8 and r= $2. What are its short-run average variable and marginal cost curves? Let K be fixed in the short run. The firm's short-run average variable cost curve, AVC, as a function of K and q is AVC=$ (Properly format your expression using the tools in the palette. Hover over tools to see keyboard shortcute. E.g., a superscript can be created with the character.) Write AVC and MC functionsAn economist estimated that the cost function of a single-product firm is: C(Q) = 100 + 20Q + 15Q2 + 10Q3 [NOTE à MC(Q) = 20+30Q+30Q2] Based on this information, determine: The average fixed cost of producing 10 units of output The average variable cost of producing 10 units of output The average total cost of producing 10 units of output The marginal cost when Q = 10
- To maximise profits, a competitive firm has a cost function, C(q) = 4q2 + 95 and produces 33 units in order to maximise profits. Although the price of output does not change, the firm decides to build a second factory with the cost function C(q) = 7q2 + 45. To maximise its profits, how many units should it produce in the second factory?25) If a firm has the cost function C(q) = 5q² + 20q + 180 and the marginal cost function MC(q) = 10q + 20, at what quantity is its average cost minimized?7. A fast-food company in Hermanus has the following cost function: TC = 10 + 3K + 2L, where L is the number of labour hours and K is the number of machines they have to use. They have a production function of Q = 2KL, where Q represents the number of meals produced per day. The company has to make at least 75 meals every day. Using the Lagrangian method of production optimization, calculate the optimal number of labourers and machines needed to meet this quota. (6)
- A competitive firm uses two variable factors to produce its output, with a production function y = min{ x1, x2 }.The price of x1 is w1 = $8 and the price of x2 is w2 = $5. Due to a lack of warehouse space, the company cannot use more than 10 units of x1. The firm must pay a fixed cost of $80 if it produces any positive amount but doesn't have to pay this cost if it produces no output. What is the smallest integer price that would make a firm willing to produce a positive amount? please solve asap?A competitive firm uses two variable factors to produce its output, with a production function y = min{ x1, x2 }.The price of x1 is w1 = $8 and the price of x2 is w2 = $5. Due to a lack of warehouse space, the company cannot use more than 10 units of x1. The firm must pay a fixed cost of $80 if it produces any positive amount but doesn't have to pay this cost if it produces no output. What is the smallest integer price that would make a firm willing to produce a positive amount?In the short run, the marginal cost of the first unit of output is $40, the average variable cost of producing three units of output is $32, and the marginal cost of producing the second unit of output is $32. What is the marginal cost of producing the third unit of output? (Correct answer is $24)