For problems 1 – 4: The Dolan Corporation, a maker of small engines, determines that in 2019 the demand curve for its product is P = 2,000 - 50Q where P is the price (in dollars) of an engine and Q is the number of engines sold per month. To sell 30 engines per month, what price would Dolan have to charge? A.4500 b.1000 c.500 d.450
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For problems 1 – 4: The Dolan Corporation, a maker of small engines, determines that in 2019 the demand curve for its product is
P = 2,000 - 50Q
where P is the price (in dollars) of an engine and Q is the number of engines sold per month.
To sell 30 engines per month, what price would Dolan have to charge?
A.4500
b.1000
c.500
d.450
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- Assume that a firm accepts the following price_demand relationship as being a realistic representation of its market: d=800-10p where p must be between $20 and$70 a. How many units can the firm sell at the $20 per-unit price? At the $70 per-unit price? b. By how many units does a $1 increase decrease demand? c. Which pricing alternative the business is considering maximizes revenue? Group of answer choices $40 $30 $50Annual demand and supply for the Entronics company is given by: QD = 5,000 + 0.5 I + 0.2 A - 100P, and QS = -5000 + 100P where Q is the quantity per year, P is price, I is income per household, and A is advertising expenditure. If A = $10,000 and I = $25,000, what is the demand curve? Given the demand curve in part a., what is equilibrium price and quantity? If consumer incomes increase to $30,000, what will be the impact on equilibrium price and quantity?The monthly sales of Sunny Electronics' new sound system are given by q(t) = 2,000t − 50t2 units per month, t months after its introduction. The price Sunny charges is p(t) = 1,000 − t2 dollars per sound system, t months after introduction. Find the rate of change of monthly sales. HINT [See Example 4(a).] q'(t) = Find the rate of change of the price. p'(t) = Find the rate of change of monthly revenue 5 months after the introduction of the sound system. $ per month Interpret your answer. When t = , the revenue is increasing at a rate of $ per month.
- Industry demand and supply for a new soft drink NeuCola is as follows: Qd = 460,000 – 100,000 P + 22,500 Pc + 21 Y + 2,000 T Qs = 40,000 + 80,000 P – 60,000 PL – 5,000 Pk Where P is average price of the drink in $ per pack, Pc is average wholesale price other branded drinks in the market, Y is income in $, T is average daily temperature in degrees, PL is average wage of labor in $ per hour and Pk is the average cost of capital in $. When quantity is expressed as a function of price, what are NeuCola’s demand and supply curves if Pc = $8, Y=$10,000 billion, T=75 degrees, PL=$10 and Pk=$12. Will there be surplus or shortage of NeuCola when P = $5, $7 and $9? Use a table to show values of quantity demanded and quantity supplied at each level of price. (Values of Qd and Qs calculated in millions may be rounded in the table). Calculate the market equilibrium price and equilibrium output. 4. Draw a labelled hypothetical demand and supply model…Industry demand and supply for a new soft drink NeuCola is as follows: Qd = 460,000 – 100,000 P + 22,500 Pc + 21 Y + 2,000 T Qs = 40,000 + 80,000 P – 60,000 PL – 5,000 Pk Where P is average price of the drink in $ per pack, Pc is average wholesale price other branded drinks in the market, Y is income in $, T is average daily temperature in degrees, PL is average wage of labor in $ per hour and Pk is the average cost of capital in $. a. When quantity is expressed as a function of price, what are NeuCola’s demand and supply curves if Pc = $8, Y=$10,000 billion, T=75 degrees, PL=$10 and Pk=$12. b. Will there be surplus or shortage of NeuCola when P = $5, $7 and $9? Use a table to show values of quantity demanded and quantity supplied at each level of price.Suppose demand and supply curves for you company’s product are given by:QD = 10 -XP QS =5 +YP You will need to find value for X between [0.1 -3] and Y between [0.1 -3] based on the elasticity of demand and supply. This elasticity in turn depends on the type of product, marketstructure and competitive advantage of the company. In this case, the product is an electric car and the price elasticity of demand is relatively high. Moreover, this does not have to be an exact value, and it should be done by looking at the graph of the price elasticity.
- Let PX denote the price of product X (and likewise for other subscripts); M, the consumers’ income, and AX, the amount invested in advertising for product X (and likewise for other subscripts). If PY = 6; AZ = 50000; PW = 0.5, when graphing the demand function QDX = 3500 – 250PX – 280PY – 0.02AZ, what is the intercept of the Q-axis? Select one below. (A) 566.7667. (B)-13. (C) 820. (D)1050. 2. Imagine the market for Good X has a demand function of QDX = 40 – PX and a supply function of QSX = 2PX – 20. Suppose the current price of Good X (PX) is 30. Calculate consumer surplus (CS). CS = ________ 3. Imagine the tea market has a demand function of QDX = 10 – 2PX and a supply function of QSX = PX − 2, where PX is the price of the tea. Assuming the price is at equilibrium, calculate the equilibrium price (P*). P* = _________ 4. MacGuffins have a demand function of QD = 70 – P and a supply function of QS = 2P + 10. Determine the price at equilibrium PS = _______ 5.…Suppose demand and supply curves for you company’s product are given by:QD = 10 -XP QS =5 +YP You will need to find value for X between [0.1 -3] and Y between [0.1 -3] based on the elasticity of demand and supply. This elasticity in turn depends on the type of product, marketstructure and competitive advantage of the company. In this case, the product is an electric car and the price elasticity of demand is high.It costs $250 to produce an X-Box. We are trying todetermine the selling price for the X-Box. Prices between$200 and $400 are under consideration, with demand forprices of $200, $250, $350, and $400 given below. SupposeMSFT earns $10 in profit for each game that an X-Boxowner purchases. Determine the optimal price andassociated profit for the case in which an average X-Boxowner buys 10 games. Console Price ($) Demand200 2.00E06250 1.20E06350 6.00E05400 2.00E05Unit cost $250
- Item24 Item 24 Item 24 A firm sells two goods (X and Y) that are related in consumption. The estimated demand and cost conditions are: PX = 20 − 0.1QX − 0.05QY PY = 70 − 0.3QY − 0.1QX MCX = 1 + 0.1QX MCY = 2 + 0.25QY What are the profit-maximizing prices for the two goods? Multiple Choice PX = $25.60, PY = $20.50 PX = $30, PY = $35 PX = $50, PY = $45 PX = $11.20, PY = $42.70Can 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?The Johnson Robot Company’s marketing managers estimate that the demand curve for the company’s robots in 2008 is P = 3,000 - 40Q where P is the price of a robot and Q is the number sold per month. If the firm wants to maximize its dollar sales volume, what price should it charge? a. $3000 b. $1000 c. $1500 d. $750