profit is $13000
given cost function=100q+49700
where q is the number of units sold
q=110 units
therefore total cost for 110 units=(100*110)+49700=60700
the price function= -2q+890
q=110
unit price= (-2*110)+890= -220+890=670
total sales=unit price * number of units sold
total sales=670*110=73700
profit=total sales-total cost
profit=73700-60700=13000
Given cost and price (demand) functions C(q) = 100q +49,700 and p(q) = – 2q +890,...
A monopolist’s inverse demand is P=500-2Q, the total cost function is TC=50Q2 + 1000Q and Marginal cost is MC=100Q+100, where Q is thousands of units. a). what price would the monopolist charge to maximize profits and how many units will the monopolist sell? (hint, recall that the slope of the MARGINAL Revenue is twice as steep as the inverse demand curve. b). at the profit-maximizing price, how much profit would the monopolist earn? c). find consumer surplus and Producer surplus...
A company faces an inverse demand curve of p = 17 − 2Q and its cost function is C = 36 + 2Q + 0.5Q2. 1) What Q* maximizes the monopoly’s profit (or minimizes its loss)? 2) At Q* , what is the price and profit? Under what condition should the company shut down?
1. Suppose that demand is given by P=100-Q, marginal revenue is MR=100-2Q, and marginal cost (and average cost) is constant at 20. a. What single price will maximize a monopolist's profit? b. What will be the prices and quantity under two-part pricing? It involves a lump sum fee (e.g., membership fee) equal to the consumer surplus at competitive prices and user fees (i.e., unit price) equal to the competitive price. c. Now the monopolist has another group of consumers whose...
The inverse demand curve a monopoly faces is p = 100-2Q. The firm's cost curve is C(Q)=30+6Q. What is the profit-maximizing solution? The profit-maximizing quantity is _____. (Round your answer to two decimal places.) The profit-maximizing price is $_____ (round your answer to two decimal places.)
1) Demand in a market is given by Q=9p-7.3 where p is the market price. What is the elasticity of demand? Include the negative sign if necessary. 2) Demand in a market is given by Q=3p-3 where p is the market price. There are 18 identical firms in the market. What is the elasticity of the residual demand faced by each firm when the elasticity of supply of the other firms is 2.6? 3) Inverse demand in a market is...
The demand is given by P = 100 – 2Q, where P is the price and Q is the quantity demanded. Find the price at which the own-price elasticity is – 2.
given cost and price functions c(q)=120q+43,000 and p(q)= -1.8q+870, what price should be set to maximum profit? it should be $____ per item
Q3: A monopolist faces the demand P=180-2Q and has costs described by the function C(Q)= 200+Q^2. The monopolist charges a single price. Given the information, determine the profit-maximizing output, price, and the maximization profit level.
Suppose a monopoly firm has the following demand and long‑run total cost functions: P(Q) = 100 ‑ Q and LRTC(Q) = 2Q. What are this firm's LRAC and LRMC functions (mathematically and graphically)? At what output level does this firm maximize profits? (Hint: marginal revenue is equal to 100 ‑ 2Q). What is this firm's profit level?
A monopoly's cost function (C) is: C=0.2Q^3-8.0Q^2+380Q+50 where Q is output. Demand is: p=560-2Q Determine the profit maximizing price and output for the monopolist. The profit-maximizing output level is _ units of output. The profit-maximizing price is _