A monopoly function for a firm given ? = 20 − 0.2? where ? is price and ? is output. Find (a) Total revenue function (b) Average revenue function (c) Marginal revenue function (d) ? = dq/dp , p/q at ? = 50 and show that at this ∈ value, ?$(?) = 0.
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(a) Total revenue function
(b) Average revenue function
(c) Marginal revenue function
(d) ? = dq/dp , p/q at ? = 50 and show that at this ∈ value, ?$(?) = 0.
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- If, in a monopoly market, the demand function for a product is p = 195 − 0.80x 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?$X company is a monopoly. Demand equation in this market is given as: ? = 100 − 2P and total cost equation is as the following: ?? = 2? 2 + 10. Find monopoly quantity, price and profit.Give only typing answer with explanation and conclusion The market demand for a monopoly firm is estimated to be: Qd = 100,000 - 500P + 2M + 500PR where Qd is quantity demanded, P is price, M is income, and PR is the price of a related good. The manager has forecasted the values of M and PR will be $50,000 and $20, respectively, in 2016. The average variable cost function is estimated to be AVC = 520 - 0.03Q + 0.000001Q2 Total fixed cost in 2016 is expected to be $4 million. The profit-maximizing price for 2016 is $80. $100. $260. $520. $560.
- Suppose a certain city has a monopoly cable-television company. This company has total costs TC = 0.25Q2 + 30Q + 70. (Hint: using calculus, this means MC = 0.5Q+ 30since MC is the derivative of TC with respect to output.) The demand in the community is approximated by the equationQd = 60- P/2(alternatively, you can write the demand equation as Qd = 60–0.5P). Graphically depict the demand curve as well as the marginal cost (MC) curve. If the cable company is free to choose its own pricePm and quantityQm, graphically depictthe monopoly equilibrium price and quantity. Add any other curve(s) to your diagram that may be required to obtain this outcome. Compute and state the exact monopolist equilibrium pricePm and quantityQm that you depicted graphically.4. a) If the marginal cost of a firm is 18e and the fixed cost is 67, find the total cost function. What is the total cost, average cost and variable cost at X=14? b) The demand equation of a monopoly firm is: P=138-3Q^2 and the marginal cost is: MC = 4Q +7, then find the total revenue and consumer's surplus. VLet the inverse demand function and the cost function be given by P = 50 − 2Q and C = 10 + 2q respectively, where Q is total industry output and q is the firm’s output. a) First consider first the case of uniform-pricing monopoly, as a benchmark. Then in this case Q = q. Find out the firm’s profit, price and quantity.
- A monopoly function for a firm given p=20−0.2q where p is price and q is output. Find (a) Total revenue function (b) Average revenue function (c) Marginal revenue function (d) ∈ = dq/dp , p/q at q=50 and show that at this ∈ value, R'(q)=0.In a monopoly situation, the equation for the demand for a certain commodity in dollars per unit is (P) = 12-0.5x. If the total cost for the production and sale of x units is given by C (x) = - x ^ 3/100 + 3 ^ 2/10, calculate the unit price if profit is to be maximized.A monopoly operates according to the following inverse demand function and total cost function where Q is output and P is the price in dollars. P = 50 – 0.50Q Inverse Demand Function TC = 20Q Total Cost Function Suppose that the monopoly sets price and output based on a two-part pricing strategy. Calculate the amount of output exchanged. Calculate the cost of the lump-sum access fee.
- Consider a market with 190 consumers. Of these, 90 of them have individual (inverse) demands given by: PM(Q)=10−Q, while each of the other 100 has an individual (inverse) demand of PS(Q)=10−10Q. The cost function of the monopolist serving this market is C(Q) = 6Q - Q^2/400 . (a) Find the aggregate demand. Analyze the cost function and find what kind of returns to scale it exhibits. Compute the efficient total output (ignoring break-even constraints).(b) Compute the optimal linear price (and quantity) for this monopolist, and the deadweight loss.Assume a monopoly has two groups of customers, and each group of customers has different demand for the firm's product. Group A's demand is: Pa = 90 - .1qa where qa is group A's quantity demanded and Pa is the commodity's price in dollars for group A customers. Group B's demand is: Pb = 170 - .2qb where qb is group B's quantity demanded and Pb is the commodity's price in dollars for group B customers. The firm's total cost curve is: TC = 30,000 + .05q2 where TC is the firm's total cost in dollars and q is the total quantity of output produced by the firm. Based upon the above equations, answer the following questions: a. What quantity of the commodity would the firm sell to customers in group B? What price would the firm establish for customers in group B? b. What quantity of the commodity would the firm sell to customers in group A? What price would the firm establish for customers in group A?The 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.)
