3. A public utility set up two electric generating facilities: Q₁ kilowatts are produced at facility 1 and Q₂ kilowatts are produced at facility 2 (so Q = Q₁ + Q₂. The costs of producing electricity at each facility are estimated as C₁Q₁ = 8000 + 6Q² and C₂Q₂ = 6000 + 3Q²/². Determine the profit-maximizing quantities produced at the two facilities, and the price.
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- Question 1 Sal's Streaming Company streams TV shows to subscribers in the US and Canada. Demand is Qus 50 (1/3)Pus - QCA 80 (2/3)P CA = - where Q's are in thousands of subscriptions per year and P's are the subscription prices per year. The cost of providing Q units of service is given by TC = 1000 + 30Q, where Q = Qus+ QCA (a) What are the profit-maximizing prices and quantities for the US and Canadian markets? (b) As a consequence of a new VPN service that Facebook has developed, subscribers in Canada are now able to get the US streams and vice versa, so Sal can charge only a single price. What is the profit-maximizing single price that he should charge? (c) In which situation is Sal better off? In terms of consumers' surplus which situation do people in Canada prefer and which do people in the US prefer? Why?A regional airline is the only carrier on a local air route and must determine the number of flights it will provide per month, and the fare it will charge. The estimated cost – fuel, airport charges, pilots, etc. – per flight is $2,000, and each flight is expected to be full, with 100 passengers. Thus the marginal cost per passenger may be considered to be $20.The estimated demand curve is P = 117 - 0.005Q, where P is the fare in dollars and Q is the number of passengers per month. What is the monthly profit if the airline chooses the profit-maximizing fare and number of flights? (Do not include $ sign in your answer. Round any intermediate calculations to two decimal places and your final answer to the nearlest whole number.)A toy manufacturing from has demand for the product is given by the demand function Q= 500 - 3p. Where P is the price in dollars and q is the quantity sold per year. To sell 200 units, what price should the firm charge.
- Firm X is going to apply a 2nd degree price discrimination. They plan to charge P1 for the first units and P2 for the subsequent units. The inverse market demand curve is P=100 – 2q, and the total cost function is TC = 10q + 100. Answer the following questions: %3D - 5. the prices (P1 & P2) the firm is going to charge after applying 2nd degree price discrimination are: O P1=70 and P2=40 O P1=40 and P2=70 O P1=20 and P2-40 O P1=60 and P2-30The information in the table shows the total demand for water service in Takoma. Assume that there are two companies operating in Takoma. Each company that provides these services incurs an annual fixed cost of $400 and that the marginal cost of providing the service to each customer is exactly $2.00. Figures listed are for an annual service contract. Quantity 0 100 200 300 400 500 600 700 800 900 1000 1100 1200 Price 60 55 50 45 40 35 30 25 b. Refer to Table 17-36. Suppose these 2 firms are price competing with each other (as what happens in a perfectly competitive market). What would total output be? a. 0 21250 1200None
- Question 15 (1 point) Suppose you are an analyst for the Coca-Cola Company. An individual's inverse demand for Coca-Cola is estimated to be P = 98 - 4Q (in cents). If Coca-Cola is produced according to the cost function C(Q) = 1,000 + 20Q (in cents), compute the surplus consumers receive when Coca-Cola charges the optimal block price. %3D $11.52 (1,152 cents) $0 $576 (57,600 cents) $1,152 (115,200 cents)Consider a housing market in which the rental properties are owned by 10 price-taking compa- nies. The cost function for each company is Jo C(q) = if q ≤ 10 if q> 10. That is, each company can offer any quantity up to its available rental space 10 at no cost, but it cannot offer any more than 10. Suppose the market demand is given by D(p) = 1000 p if p 1000, (c) Determine the point-price elasticities of demand and supply and state whether at the equilibrium price, they are elastic or inelastic. (d) Suppose the government imposes a 20% value added tax on rent. Calculate the equilibrium supply of housing, and determine the price paid by tenants and the price received by housing companies in equilibrium. Does the tax hurt tenants or create a dead- weight loss? Explain your answer!Suppose Neu Train is the only high-speed railway between City A and City B. She operates with a cost function of C = 2,000 + 5Q2 - 500Q. Furthermore, an estimate shows that the inverse market demand for the high- speed railway between the two cities is P = 14,500 – 70Q. Calculate the profit-maximizing output level and the price of Neu Train.
- A production process varies only with raw materials, as all other inputs are fixed.The cost of a shipment of 8kg of raw materials is fixed at $85.It takes 5kg of raw materials to create one item of output, Q.The marginal revenue for this process is expressed by the equation: MR = -Q^2 + 52Q− 576.Determine the optimal amount of raw materials to be utilized in this production process.Problem 2: Presently, APlus Transport and Big Movers are the only suppliers of services that haul heavy construction equipment between jobs within the Midwest. No other suppliers have the equipment necessary to perform the service. The market inverse demand for these hauling services is given below. P = 4,030-4Q where P is price per trip and Q is total number of trips per year. For simplicity, also assume that neither firm has fixed costs. From company records, you are given the following variable cost function for each firm: a. C. TVC = 300 TVCB = 80QB b. Calculate the Cournot market equilibrium price-output solutions for each firm including their respective profits. d. Assume these two competitors operate as a two-firm Cournot duopoly. Find the reaction functions for each firm. Suppose Big Movers shuts down operations so that APlus now has a monopoly in this market. What is the price, quantity, and profits for APlus after this change? Summarize the results of your findings over the…The FIA Formula 1 World Championship to be held during the 2021 Mexico City Grand Prix has a total cost function equal to CT = Q33 + Q2 + 125Q and an inverse demand function of P = 200−2Q. Now suppose there is a new company managing this event, so the total cost function becomes CT = 4Q. This new company intends to sell at two different prices depending on the place that the spectators occupy at the Hermanos Rodríguez Autodrome. For the Red Zone Boxes. The estimated demand will be q1 = 32−12p1 and for the Green Zone Boxes It will be q2 = 42 − p2. The number of tickets sold for the Red Zone and Green Zone will be: 15; 84 23; 16 15; 19 33; 45