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- The Potomac Range Corporation manufactures a line of microwave ovens costing $500 each. Its sales have averaged about 6,000 units per month during the past year. In August, Potomacs closest competitor, Spring City Stove Works, cut its price for a closely competitive model from $600 to $450. Potomac noticed that its sales volume declined to 4,500 units per month after Spring City announced its price cut. What is the arc cross elasticity of demand between Potomacs oven and the competitive Spring City model? Would you say that these two firms are very dose competitors? What other factors could have influenced the observed relationship? If Potomac knows that the arc price elasticity of demand for its ovens is 3.0, what price would Potomac have to charge to sell the same number of units it did before the Spring City price cut?Natural-ExP is a unique company that is dedicated to making day trips to the Nevado de Toluca. The service includes transportation, food and guide service. Being the number of tickets sold, if the cost function of serving a new customer is Cmg = 20q, the marginal revenue function Img = 600−40q and the demand is q = (600 − p) /20. Under this scenario, what is the price of the excursion. $400 $600 $300 $100Given the following demand and cost functions: Demand: p = 3000 - 2x Cost: C = 1200x + 2600 Find the x units which produces the maximum profits.
- A hair salon has very loyal customers and faces a weekly demand for blowouts equal to qD = 1,040 – 20P.The salon has weekly total cost of TC(q)=0.05q2+20q+500. g) The hair Salon instead has market power. Suppos the firm charges all customers the same price for a blowout. Find the profit maximizing level ofoutput (q*) and price (p*).h) Compute the price elasticity of demand at q* and show that at q* MR(q*) = p*(1+1/e) = MC(q*)i) Compute the consumer surplus created by the Salon and the profit of the firm.Assume perfect competition takes place in the market for hotel rooms. The current market equilibrium price for a standard room is RM300 per night. c. Show the loss in net benefits from hotel use resulting from the tax.A local microbrewery has total costs of production given by the equation TC=500+10q+5q^2. This implies that the firm's marginal cost is given by the equation MC=10+10q (you do not need to be able to show this). The market demand for beer is given by the equation QD=105 – (1/2)*P. a) What is the break even quantity in short run.
- Q1. A firm faces the following average revenue (demand) curve: P = 100 - 0.01Q where Q is weekly production and P is price, measured in cents per unit. The firm’s cost function is given by C = 50Q + 30,000. Assuming the firm maximizes profits, a. What is the level of production?A two product firm faces the following demand anc cost functions: Q1 = 40 - 2P1 - P2 Q2= 35 - P1 - P2 C = Q21 + 2 Q22 + 10 (a) Find the output levels taht satisfy the first-order condition for maximum profit. (use fractions.) (b) Check the second-order sufficient condition. Can you conclude that this problem possesses a unique absolute maximum? (c) What is the maximal profit?2. The supply Qs = s(P, Pm) has the functional form of: Qs = -12 + 0.5P - 2Pm initially, the materials cost Pm_0 = 7. Find the optimal quantity to supply if the price is P=76 and P=80. At P=76, Q_0 = . At P=80, Q_0 = . 3. Now, the cost of materials changes to Pm_1 = 9. Find the optimal quantity to supply if the price is P=76 and P=80. At P=76, Q_1 = At P=80, Q_1 = Draw the second supply curve and show how supply shifted.
- Given Question #1 Cost function C= 3000+6Q Q = 4400 - 200Q - This is the demand function Q= 1600 P = 14 Profit= 22400-12600 = 9800 Question #2 Q=$480 Q=$1120 Please answer Question #3 (A-E)The price-demand equation for the production of bluetooth speakers is: p = 250 - 1/20x, for 0 is less than or equal to x and x is less than or equal to 5000 where x speakers can be sold at $p per each speaker. The cost to produce x speakers is given as C(x) = 150,000 + 30x, where both C(x) and p are represented in dollars ($). - find the profit function and the marginal profit and interpret the quantity P'(4500) - find the marginal cost and interpret the quantity C'(3000) - find the revenue function and the marginal revenue and interpret the quantity R'(3000)Can you help with parts c,d, and e please? The estimated daily demand for river corssings on a proposed new bridge is: Qd = 100,000 - 20,000P where Qd is the quantity demanded measured in number of daily crossings and P is the price(toll) per crossing in dollars. Engineers estimate that constructing the new bridge will result in a fixed cost of $1.2 billion or $120,000 per day over the life of the bridge. Once constructed, there are no marginal costs and variable costs associated with the bridge's use. Based upon the above information, answer the following questions: a. If a private company were to build the bridge, what would be the profit-maximizing number of daily crossings? b. What price per crossing(toll) would the profit-maximizing company establish? c. What would be the socially optimal number of daily crossings? d. What deadweight loss would exist given your answers to part (a) and (b)? e. Would a profit-maximizing company build the bridge?