Suppose there was an industry with 10 identical firms with marginal cost given by: MC= 5 + 0.5q. Use horizontal summation to find the total supply function for this industry. Fill in the blanks below. Qs = 20P - (Round to the nearest two decimal places if necessary. You will not need to include a negative sign in your response.)
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Lesson 9 Question 3
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- Let's consider a company that produces a good Z, in a perfectly competitive market. The expression for the total cost of this undertaking is as follows: C( q) = 72 + 2q2 Graph the marginal cost, average cost, and average variable cost curves of this company. Your chart should be accurate. Also include the break - even point (SR) and closing point (SF).Consider an industry with identical firms. Suppose the cost function of firm i, i=1,...,n, is given by Ci(q) = 6 q² +91 It follows that the slope of firm's marginal cost curve is equal to ... (As usual, you must enter a number below, not a ratio, not an expression with symbols..., just a number. Don't round, even if rounding makes sense...)***What would this look like in EXCEL, Graph and Table*** The cost function for Acme Laundry is: TC(q)=10+10q+q^2 so its marginal cost function is: MC(q)=10+2q where q is tons of laundry cleaned. Derive the firm's average cost and average variable cost curves. What q should the firm choose so as to maximize its profit if the market price is p? How much does it produce if the competitive market price is p = 50?
- A firm has fixed costs of $80,000 associated with the manufacture of lawn mowers that cost $200 per mower to produce. The firm sells all the mowers it produces at $300 each. Find the cost, revenue and profit equations. Find the break-even quantity. (Let x be the number of mowers.)C(x) = R(x) = P(x) = break even quantity mowersThe company AffordableStuff sells cell phones. The marginal cost for each cell phone is given by the equation C(x) = 0.01x² – 3x + 229. a is the number of cell phones manufactured and sold. The marginal revenue function is R(x) = 429 – 2.x. Both C(x) and R(x) are given in dollars. a) Where do these curves intersect? What do those intersection points mean? b) Find the area between the curves, using end points that make sense. Round to the nearest cent. c) What does the area under the curve mean in this case?Suppose there are 5 firms in this industry, each of which has the cost curves previously shown.
- Beta Industries manufactures floppy disks that consumers perceive as identical to those produced by numerous other manufacturers. Recently, Beta hired an econometrician to estimate its cost function for producing boxes of one dozen floppy disks. The estimated cost function is C = 20 + 2Q^2. a. What are the firm's fixed costs? b. What is the firm's marginal cost? Now suppose other firms in the market sell the product at a price of $10 c. How much should this firm charge for the product? d. What is the optimal level of output to maximize profits? e. How much profit will be earned? f. In the long run, should this firm continue to operate or shut down? Why? *Please show all work*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.The market for drones is perfectly competitive. Assume for simplicity that fractions of everything, including firms, is possible. We have identical firms, each with a Total Cost curve of TC=215+58q+q^2 and Marginal Cost curve MC=58+2q. Market demand is Q=744-2P. What is the Average Variable Cost if the firm produces 17 units?
- Sergio Lopez is a publisher of Latin American poetry. His fixed cost is $525, and the cost to produce each individual copy of his book is $3.50. Currently, Sergio is selling these books for $6 each. So far this year, he has produced x a. Write a linear cost function C for Sergio’s book production, in terms of x. b. Find the linear revenue function R for selling x copies of the book. Remember that P(x) = (price)x. c. Use and 1b. to determine the profit function P for selling x books. Write the formula in simplified form. d.Use your answer for 1c to determine the profit, in dollars, for selling 300 books.Suppose a firm operating in a perfectly competitive industry has costs in the short run given by: SRTC = 8 + 1/2Q^2 and therefore MC = q. (a) Derive expressions for fixed costs (FC), those that do not vary with output, variable costs (VC), those that do vary with output, average variable cost (AVC), and average total cost (ATC). (b) At what quantity is AVC at its minimum (at what AVC level)? At what quantity is ATC at its minimum (at what ATC level)? Calculate ATC at q = 2 and q = 8 and sketch MC, AVC and ATC betweenq=0andq=8.The two side by side graphs are for two firms that between them supply all the original grown advocados for a local area. With vigorous competition between the firms, the price per pound has settled at a point where both firms are just breaking even. For each firm, the marginal cost (mc) average variable cost (avc) and average total (atc) curves are shown In the blank graph below, use the straight line tool to draw a straight line representing the short run market supply curve for quantities above zero. (that is Dont worry about operating points for which the quantity is zero)