In the long run period, a small number of firms produces the differentiated product "X" in a monopolistic competition market. The total demand for this product "X" can be written as: Qp(p) = 1350 – 45p The total cost function is: 1 TC = q° – 3q² + 40q What is the number of firms in this market?
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- In a monopolistically competitive industry, a firm has a short-run and long-run cost function C = 150 + 20Q + 5Q2 The demand function for the firm's product is Q = α – P. (C = cost, Q = quantity, P = price, α = parameter). (i) If α = 116 short, determine the quantity, the price and profit of the business. (ii) What is the firm's demand function at long term equilibrium? MAKE A GRAPHWidget Sales Jesaki Inc. is trying to enter the widget market. The research department established the following price-demand, cost, and revenue functions: p(x)=60-1.20x C(a) = 210 + 12x |R(x) = xp(x) = x(60 - 1.20x) Revenue function where x is in thousands of widgets and C(x) and R(x) are in thousands of dollars. The price p(z) is the price in dollars of one widget when the demand is a thousand widgets. All three functions have domain 1 ≤ ≤ 50. Use this information to answer questions 1-10 below. Price-demand function Cost functionA friend has just started up her own business. Her firm asks you how much to charge for her product to maximize profits. The demand schedule for it is given by the first two columns in the table below; its total costs are given in the third column. For each level of output, you can calculate total revenue, marginal revenue, average cost, and marginal cost. The profit-maximizing level of output can be found at the point where TR - TC is greatest, or where MR = MC, (or the last quantity where MR is still greater than MC.) What is the profit-maximizing level of output for her product? 40 How much will she earn in profits? 80 Price Quantity TC TR? MR? MC? $25.00 0 $130 $24.00 10 $275 $23.00 20 $435 $22.50 30 $610 $22.00 40 $800 $21.60 50 $1,005 $21.20 60 $1,225
- N (b) The marginal revenue function of a monopolistic producer is: MR = 10 - 4Q. Find the total revenue function and deduce the corresponding demand function.Suppose a company creates its own differentiated type of sneaker and is thus considered a monopolistically competitive firm. This firm has a constant marginal cost curve. For each unit of output that the monopolistically competitive firm produces, it costs an additional $50$50. The firm's marginal revenue curve is MR=80−6QMR=80−6Q, where Q is the quantity produced. The firm's perceived demand curve is P=80−3QP=80−3Q. What is the monopolistically competitive firm's profit-maximizing output and price? Write the exact answer. Do not round.Ecotripper Enterprises is the sole producer of Sunblast solar-powered skateboards, “The green alternative”. Market demand for Sunblasts is given by the formula: P=120-0.5Q, where p is in $ per skateboard and Q in skateboards per week. Total costs, in $ per week, are given by: TC=100+20Q, and marginal cost (MC) equal 20. a.) Derive the marginal revenue function and calculate the profit-maximizing price, quantity sold and the profit. b.) If the government imposes a price ceiling of $ 65 per skateboard, what is the effect on the equilibrium and the values derived in a.)? c.) If the government wanted Ecotripper to produce the socially efficient quantity of skateboards, what price ceiling could it set in the short run? What would the result be in the long run? d.) If the government decided to set the price ceiling so that consumer surplus was maximized subject to Ecotripper earning zero profits, what would be the level of the price ceiling, the quantity sold and the consumer surplus?
- Suppose the inverse demand function for a monopolistically competitive firm’s product is given by; P = 1000 – 20q and the ,cost function is given by; C(q) = 50 + 20q Required: a. Determine the profit maximizing price (P*) and quantity (Q*) and the maximum profit (π*) b. Why should a monopolist sells output at P > MR?Suppose the inverse demand function for a monopolistically competitive firm’s product is given by P=100 − 2Q and the cost function is given by C(Q ) = 5 + 2Q Determine the profit-maximizing price and quantity and the maximum profits.The market structure of the local pizza industry is best characterised by monopolistic competition. Pizza Shack is one of the producers in the local market.The market demand for Pizza Shack is: Qd = 225 – 10P.Pizza Shack’s cost function is: C(Q) = 0.15Q^2Where Q^2 refers to q squared5. Differentiate the total cost function to find marginal cost:
- Your mom is the monopoly supplier of jokes in (humorless) Ho Hum. She faces a demand curve and a marginal cost curve given by following equations Demand: Q = 100 – 0.19P jokes per day Marginal Cost: MC= 80 dollars per joke Assume that jokes are perfectly divisible.Suppose the inverse demand function for a monopolistically competitive firm's product is given by P = 100 – 20 and the cost function is given by CQ) = 5 + 2Q Determine the profit-maximizing price and quantity and the maximum profits.Assume the demand and total cost functions for soccer balls are given in the following form: Demand: P = 120 – 20 and Total Cost: TC = 10Q + Q4. where Q is quantity and P is the price measured in dollars. Calculate CS, PS and DWL in the monopolistic market. Show them on a graph.