If, in a monopoly market, the demand function for a product is p = 140 − 0.10x and the revenue function is R = px, where x is the number of units sold and p is the price per unit, what price will maximize revenue
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A: please find the answer below.
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A: Given P=150−Q Marginal cost = Average cost = $90
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A: TC = 12+ 50Q Fixed cost = 12 and varaiable cost = 50Q AVC = VC/Q = 50Q/Q = 50
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A: p1=100-Q1 ⇒Q1=100-p1 p2=120-3Q2 ⇒3Q2=120-p2 ⇒Q2=40-13p2 C(Q)=12Q2 where Q=Q1+Q2
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A: We have total cost = TFC + TVC MR = change in TR/ Change in Q MR = Change in TC/ Change in Q
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- If, in a monopoly market, the demand for a product is p = 195 − 0.10x and the revenue function is R = px, where x is the number of units sold, what price will maximize revenue? (Round your answer to the nearest cent.)The monthly demand function for x units of a product sold by a monopoly is p = 6,100 - Find the revenue function, R(x), in dollars. R(x) = Find the cost function, C(x), in dollars. C(x) = Find the profit function, P(x), in dollars. P(x) = Find P'(x). P'(X) = Find the number of units that maximizes profits. (Round your answer to the nearest whole number.) units Find the maximum profit. (Round your answer to the nearest cent.) $ dollars, and its average cost is C = 3,040 + 2x dollars. Production is limited to 100 units. Does the maximum profit result in a profit or loss? O profit O lossA monopoly produces widgets at a marginal cost of $10 per unit and zero fixed costs. It faces an inverse demand function given by P = 50 - Q. What is the profit under monopoly?
- The monthly demand function for a product sold by a monopoly is p = 2,044 1 -x² dollars, and the average cost is = 900 + 18x + x2 dollars. Production is limited to 1,000 units, and x is in hundreds of units. Find the revenue function, R(x). R(x) Find the cost function, C(x). C(x) = Find the profit function, P(x). P(x) = (a) Find P'(x). P'(x) = Considering the limitations of production, find the quantity (in hundreds of units) that will give the maximum profit. hundred units (b) Find the maximum profit. (Round your answer to the nearest cent.) %24The monthly demand function for a product sold by a monopoly is p = 5900 − 1/2x2 dollars, and the average cost is C = 3090 + 2x dollars. Production is limited to 100 units. a. Find the revenue function R(x). b. Find the cost function, C(x). c. Find the profit function, P(x). d. Find P'(x). e. Find the number of units that maximizes profits. (Round your answer to the nearest whole number.) f. Find the maximum profit. (Round your answer to the nearest cent.)Consider a monopoly with demand P= 7000-Q The cost function for the firm operating in this market is C(Q)-Q2 Find the deadweight loss from this monopoly. Round to the nearest 100th.
- Suppose a monopoly firm has the following Cost and Demand functions: TC=Q2 P=80-Q MC=2Q MR=80-2Q Carefully explain what the firm is doing and why. Find the firm’s Profit maximizing Q Find the firm’s Profit maximizing P. Find the firm’s Profit. Suppose because of an advertising campaign, which costs $500, the monopoly’s demand curve is: P=100-Q so its MR= 100-2Q. MC=2Q Looking closely at the TC function and the demand curve, explain the effects of the advertising campaign on the equations compared with the equations above in part 1. Find the firm’s Profit maximizing Q Find the firm’s Profit maximizing P. Find the firm’s Profit. Was the advertising campaign successful? Compare 2 w/ 1. Why?A monopolist has the following marginal revenue function MR = 1,600 - 20Q, and marginal cost function MC = 200 + 30Q and faces the following the demand curve p 1200-10Q. And the total cost function is TC= 200Q+15Q². Q refers to the number of units produced by the monopolist. Find the profit maximizing quantity (in number of units produced) for this monopolist. The result should be an integer number, no decimals (e.g. if the result is 3.65 write 4, if the result is 3.64, write 3). = Your Answer:Suppose a monopoly firm with a constant marginal cost 10 faces an inverse linear demand function p = 50 - Q. What would be the profit-maximizing price and quantity if its marginal cost doubles? How does it compare to the outcome with original cost?
- Suppose a monopoly firm with a constant marginal cost 10 faces an inverse linear demand function p= 50 - Q. What would be the profit-maximizing price and quantity if its marginal cost doubles?The demand a monopoly faces is p = 400 - Q+A 0.5 where Q is its quantity, p is its price, and A is the level of advertising. Its marginal cost of production is $40, and its cost of a unit of advertising is $1. What is the firm's profit equation? The monopoly's profit equation (л) as a function of Q and A is π= (400-Q+A05) Q-40Q-A. (Properly format your expression using the tools in the palette. Hover over tools to see keyboard shortcuts. E.g., a superscript can be created with the ^ character.) The monopoly's profit-maximizing price is p = $270, quantity is Q = 260, and advertising is A = 16900. (Enter numeric responses using real numbers rounded to two decimal places.)A monopolist faces a demand curve given by Qd = 270 – P and faces a short run total cost function given by TC = 30 + 3q2. (i) What is the output level that maximizes the firm's revenue?