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- 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 $250A6 3) Pricinga) Provide a real-world example of third-degree price discrimination (with a hyperlink to the example). Discuss what prevents re-sale in your example (i.e. why can’t people who pay a lower price sell the good to people who face a higher price?). b) Provide a real-world example of a seller offering a “decoy option” (with a hyperlink to the example). Discuss how you expect the demand for the other options to change if this decoy option was removed from the market by the seller.A market analysis employed by the “Sad Student Company” reveals that the number oflots of the game named “Handsome Killer: Revenge of the Teacher” ordered by thewholesalers when the game is offered at a price of dollars per lot is given by the formula:p=1500-2.5qa) Find the company’s total, marginal and average revenues b) Find the price and quantity maximizing the total revenue by first expressing therevenue as a function of price rather than of quantity
- a. Estimate the equlibrium price and quantity of the market whose demand and supply functionsare pd = −(q + 4)2 + 100 and ps = (q + 2)2respectively. b. If the region A (shaded grey) in the diagram above represents a solution set, derivethe system of inequalities which define that region.A real estate developer is offering identical houses for sale for $350,000 each, and has 20 willing customers. The developer is considering lowering the price to $300,000, since at that price there would be an additional 3 customers willing to purchase houses. What would be the developer’s change in revenue from lowering the price in this way? A)-$100,000 B) $100,000 C) $900,000(2) (Assume that s = 0 (there is no subsidy.)(a) Write down firm A’s profit function. (No work required.)(b) Find each firm’s best response function. (You may do this directly or by setting s to zero inyour expressions from (1b).(c) Solve for equilibrium outputs (q*A, q*B). You may either use the symmetry in this problem toassume a symmetric solution, or solve for firm B’s best response and solve the two best responsessimultaneously. (d) Solve for the equilibrium price.(e) Solve for the equilibrium profits.
- Assume that Demand is given as Qd = 40-0.5P, if P= 0, 2, 4, 6i. Draw the demand scheduleii. What is the maximum quantity consumers being likely to buy?iii. Sketch the above equation.iv. If the market determined price is 10, determine the size of consumer surplusGiven the following information Qd = 240 - 5P Qs = P Where Qd is the quantity demanded, Qs is the quality supplied and P is the price. Seller's reservation priceThe 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
- Your manager is only concerned with selling her product for the highest price possible under profit- maximizing conditions. In which of the two markets should she operate? • Market 1: - Demand:Q=100-2P - MarginalCost:MC=15 • Market 2: - Own-PriceElasticity:εQ,P=-2.5Note:Thisimpliestheown-priceelasticityis constant at all points. - MarginalCost:MC=15 a. She should operate in Market 1, as it has the highest profit-maximizing price. b. She should operate in Market 2, as it has the highest profit-maximizing price. c. She is indifferent, as each market has an equal profit-maximizing price.Assume that there is only a single seller of papadums, and she knows eachbuyer’s willingness to pay. Assume that this seller incurs a cost of $4.00 perunit of papadum produced (i.e., the marginal cost is constant). If she intends to maximise profits, how many papadums would this seller supply to the market, and what price would she charge? Remember, the price has to be the same for each unit sold. Hint: start at a price of $17 and calculate what profit would be. Then lower the price just enough to attract an additional buyer and calculate what the new profit would be. Repeat this until all four buyers are purchasing the good and then check which price yields the highest profit. Alternatively, you can calculate the marginal revenue from lowering the price to attract an additional buyer and compare it to marginal cost.Systems applicationSolve and analyze the following problems. Make sure all the steps are properly justified. Correctly use mathematical notation or terminology. Interpret the solution in the context of the problem.Suppose the supply and demand equations for printed shirts for a graduating class are given byp = 0.7q + 3p = -1.7q +15where p is the price in dollars and q is the quantity in hundreds.Determine supply and demand if the shirts cost $ 9.00. Analyze and discuss the stability of the shirt market at this price level. Prepare the graph of the two equations in the same coordinate system and identify the equilibrium point, the supply curve, and the demand curve.