Hand written plz 4. Suppose that a firm has a total cost function C(Q) 5000-40Q2 +4Q³. Find AVC, MC, min ATC. What market prices will lead to a long-run equilibrium? I
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- The cost function for a firm is given by C(Q) = 5+q^2. If the firm sells output in a perfectly competitive market and other firms in the industry sell output at a price of $20, what price should the manager of this firm put on the product? What level of output should be produced to maximize profits? How much profit will be earned?Suppose a firm has the following total cost function TC = 100 + 2q2. If price equals $20, what is the firm’s output decision? What are its short-run profits?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?A typical firm in industry X has the following total cost function: TC = 400 + 38*q + 0.5*q2, where q represents the units of output. • This firm is producing 35 units of output and the firm's MC(q=35) = $73 and AC(q=35) = $66.9. (a) At this level of output, the firm's AC(q) function is in output (q). (Enter just one word: increasing or decreasing). (b) The firm faces of scale. (Enter just one word: economies or diseconomies.).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.
- Bitcom, a manufacturer of electronics, estimates the following relation between marginal cost of production and monthly output: MC= $150+ 0.005Q What does this function imply about the effect of the law of diminishing returns on Bitcom’s short-run cost function? Calculate the marginal cost of production at 1,500, 2,000, and 3,500 units of output. Assume Bitcom operates as a price taker in a competitive market. What is this firm’s profit-maximizing level of output if the market price is $175? Compute Bitcom’s short-run supply curve for its product. Provide a 100 word summary of how this can be applied to the current economy. Show Calculations and can it be done in Excel?Consider an individual firm competing in a market with many other producers and producing an undifferentiated product (i.e., consumers consider the product from one firm to be exactly as good as the product from any other firm). Assume this firm faces a conventional production technology. The short-run production function has a small range of increasing marginal product (increasing marginal returns) and then is subject to the Law of Diminishing Marginal Product (diminishing marginal returns). Putting quantity q on the horizontal axis and dollars $ on the vertical axis, depict four important curves: Average Fixed Cost (AFC), Average Variable Cost (AVC), Average Total Cost (ATC), and Marginal Cost (MC). Label each of these curves with the subscript 0 to indicate that these are the original (or current) curves. For this question, assume the individual producers in this industry have no control over prices; they must accept the exogenously given price, P0. On a graph containing the four…Assume that an entrepreneur’s short-run total cost function is C = q^3 − 10q^2 + 17q + 66. Calculate the MC.
- Suppose a firm’s short-run cost curves were found to be: Total Cost = SRTC = 1 + 2Q + Q2 Marginal Cost = SRMC = 2 + 2Q, Where Q is output. Assume the firm behaves as a price taker and sells its output at P = K8 per unit. (a) If the firm maximizes profits, how much will it produce? (b) What are the marginal, average and total cost at that point? (c) What is the firms’ profit?Then, plot points along the portion of the firm's short-run supply curve that corresponds to prices where there is positive output.A firm is producing 20 units with an average total cost of $25 and marginal cost of $15. If it were to increase production to 21 units, which of the following is certain to occur?
