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- A toy manufacturer makes miniature trucks. The pricep(in dollar) and the demandx(numberof miniature trucks) are related by the equation 6000−600p=x. The total cost for the sametoy manufacturer to producexminiature trucks can be modeled byC(x) = 8x+ 450.(a) (10 points) Express the pricepin terms of the demandx. Find the revenueR(x) if themanufacturer sellsxminiature trucks in a month and find the domain of this function.(b) (10 points) Graph the cost and revenue functions on the same coordinate system for 0≤x≤6000.(c) (10 points) What is the minimum number of trucks the toy manufacturer must sell tobreak even?(d) (10 points) FindP′(300) and interpret the result.(e) (10 points) What is the exact profit from the sale of the 301stminiature truck?When the price is between AVC and ATC (ATC<p>AVC), then total revenue for the competitve firmWhat is mean by ''high powered moeny'' H? What does the demand for H consits of? Who controls the supply H?
- Suppose that the manager of a donut shop tellsyou that he sold 220 donuts today, for a total revenue of $220 and average revenue of $0.90. What’swrong with this story?(a) Calculate the value of marginal profit when marginal revenue is $400 and marginal cost is $700 (b) Is the firm getting benefits?A publisher faces the following demand schedule for the next novel from one of its popular authors:Price Quantity Demanded100 090 100,00080 200,00070 300,00060 400,00050 500,00040 600,000 530 700,00020 800,00010 900,0000 1,000,000The author is paid $2 million to write the book, and the marginal cost of publishing the book is aconstant $30 per book.a. Compute total revenue, total cost, and profit at each quantity. What quantity would a profitmaximizing publisher choose? What price would it charge? b. Compute marginal revenue. (Recall that MR=∆TR/∆Q.) How does marginal revenue compare tothe price? Explain. c. Graph the marginal-revenue, marginal-cost, and demand curves. At what quantity do themarginal-revenue and marginal-cost curves cross? What does this signify? d. In your graph, shade in the deadweight loss. Explain in words what this means. e. If the author was paid $3 million instead of $2 million to write the book, how would this affectthe publisher’s decision regarding the price…
- A computer company produces affordable, easyto-use home computer systems and has fixed costs of$250. The marginal cost of producing computers is $700for the first computer, $250 for the second, $300 for thethird, $350 for the fourth, $400 for the fifth, $450 for thesixth, and $500 for the seventh.a. Create a table that shows the company’s output,total cost, marginal cost, average cost, variablecost, and average variable cost.b. At what price is the zero-profit point? At whatprice is the shutdown point?c. If the company sells the computers for $500, is itmaking a profit or a loss? How big is the profitor loss? Sketch a graph with AC, MC, and AVCcurves to illustrate your answer and show theprofit or loss.d. If the firm sells the computers for $300, is itmaking a profit or a loss? How big is the profitor loss? Sketch a graph with AC, MC, and AVCcurves to illustrate your answer and show theprofit or loss.Don't use chatgpt or any AI A profit-maximising firm in a competitive market is currently producing 1,000 units of output. It has average revenue of $50, average total cost of $40 and fixed cost of $10,000. a) What is its profit? b) What is its marginal cost? c) What is its average variable cost? Is the efficient scale of the firm more than, less than or exactly 1,000 units?i. Calculate the marginal cost, marginal revenue and profit for each unitof production. ii. How many units should the firm produce to maximise profit?
- The total profit equation for the firm is p =-500-25x-10x^2 -4xy-5y^2+15y ;x +y =100 .where x and y represents output levels.Us8ng substitution method determine the profit maximizing output levels for x and y .A seller can sell three diamond rings at a price of $ 12000 each. If he sells for, his marginal revenue will be $10500. Calculate the price at which he can sell four rings.Ariana Grande has just finished recording her latestCD. Her record company’s marketing departmentdetermines that the demand for the CD is asfollows:Price Number of CDs$24 10,00022 20,00020 30,00018 40,00016 50,00014 60,000The company can produce the CD with no fixed costand a variable cost of $5 per CD.a. Find total revenue for quantity equal to 10,000,20,000, and so on. What is the marginal revenuefor each 10,000 increase in the quantity sold?