Assume the demand for a new drug Alwayssmile is given for the first 2 years by Year 1: Q1-1600-2P1 Year 2: Q2=2Q1-4P2 Given the linear demand function, we know that the profit would be given by setting the Marginal revenue which has the same intercept as the demand and twice its slope = marginal cost Assume that the cost of producing Alwayssmile is approximately =0, Find the profit-maximizing price for the second year: P2

Assume the demand for a new drug Alwayssmile is given for the first 2 years by Year 1: Q1-1600-2P1 Year 2: Q2=2Q1-4P2 Given the linear demand function, we know that the profit would be given by setting the Marginal revenue which has the same intercept as the demand and twice its slope = marginal cost Assume that the cost of producing Alwayssmile is approximately =0, Find the profit-maximizing price for the second year: P2

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)

14th Edition

ISBN:9781305506381

Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris

Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris

Chapter5: Business And Economic Forecasting

Section: Chapter Questions

Problem 6E: The economic analysis division of Mapco Enterprises has estimated the demand function for its line...

See similar textbooks

Similar questions

1.The price p in dollars of a certain commodity and the quantity x sold obey the demand equation p= -1/5 + 200 where 0<=x <=1000. Suppose that the cost C in dollars of producing x units is C= the square root of x divided by 10 + 400. Assuming that all items produced are sold, find the cost of c as a function of the price p. 2. The value V of a vehicle is v(t)= 420,000(0.965)^t. What would be the car's worth in 2 years? In how many years would the car be worth $325,000?
Jiffy-Pol Consultants is paid $1,000,000 for each percentage of the vote that Senator Sleaze receives in the upcoming election. Sleaze’s share of the vote is determined by the number of slanderous campaign ads run by Jiffy-Pol according to the function S = 100N/(N + 1), where N is the number of ads. If each ad costs $4,900 approximately how many ads should Jiffy-Pol buy in order to maximize its profits? A) 2,853. B) 1428. C)98 D) 477.
PUP 48,213 UST 40,000 FEU 27,889 LRT2 200,000 passengers daily If 60% of PUP, 30% of UST, and 85% of FEU students take LRT2 daily and pays an average fare of Php25 per day… What is the total annual market size (revenue) of LRT2? What is the total annual market size (revenue) of the 3 schools? If operations is halted for 1 week, what is the projected loss in revenues? What is the market share (volume) of: PUP students? UST students? Feu students?
An entrepreneur named Khadijah has total revenue shown by the equation TR = 150Q - 5Q² and total costs shown by the equation TC = 20 - 10Q. Determine the amount of output that must be produced by Khadijah to get the maximum profit and what is the maximum profit from that amount of output. Prove that the value obtained is the maximum!
Comment An HHI index of less than 1500 is considered as an competative market place , and If HHI index value is in range of 1500 to 2500 is considered as moderetly Concentrated.if the valuegoes above 2500 then the market place is highly Concentrated. So, In our All three years Value of HHI is above 2500 that shows in all three years that shows the there is very less competation in market or existence of very few players in all three years Are your conclusions in the HHI consistent with the five firm concentration in all cases? Give two reasons to support your answer
You work for a pharmaceutical company that has developed a new vaccine. The patenton the vaccine will last 15 years. You expect that the drug’s profits will be $2 million in itsfirst year and that the profit will grow at a rate of 5% per year for the next 15 years. Oncethe patent expires, other pharmaceutical companies will be able to produce the same drugand competition will likely reduce growth to 1% per year. a. What is the present value of the new drug if the cost of capital is 8%? b. What is the drug’s present value if competition causes the company to havenegative growth of -5% (i.e., minus 5%) after the first 15 years?
SM 3. Consider the problem of Example 12.4.2. (a) Suppose that Q=f(L) = √L. Write down Eq. (*) in this case and find an explicit expression for L* as a function of P and w. Find the partial derivatives of L* w.r.t. P and w. Then verify the signs obtained in the example. (b) Suppose the profit function is replaced by л(L) = Pf (L) – C(L, w), where C(L, w) is the "cost function". What is the first-order condition for L* to be optimal in this case? Find the partial derivatives of L* w.r.t. P and w.
Suppose a firm is facing a two-period (t = 0, 1) depletable resource (e.g., oil) extraction problem. The inverse demand function of the resource is Pt=20–0.5Qt ; marginal extraction cost is MCt = $5/unit; resource stock is Q = 20 units and interest rate is r = 50%. a) Write down the firm’s objective and efficiency condition. Using diagrams for this problem, calculate the dynamically efficient extractions, marginal user costs, present value of scarcity rents, and present value of total net benefits for the two periods.
Consider the online learning problem with demand learning. The firm sells a product without any historical demand information. In each period, the firm can set a price and would observe a demand based on the charged price. Suppose the true demand function in each period is D(p) = 9−3p+ϵ, where ϵ is a random variable with zero mean. The marginal cost is negligible. (a) What price should the firm charge if you know the demand function? What would be the expected revenue if the firm implements this price for n periods? (b) Suppose you do not know the demand function, but know that the demand is a linear function, and the slope is 3. In other words, you know that demand is D(p) = a − 3p + ϵ and would like to estimate a from the data. Suppose from the historical data, you have k pairs of demand and price, i.e., (p1, D1),(p2, D2), ...,(pK, DK). Suppose you would like to minimize the residual sum of square, i.e., min a X K i=1 (Di − a + 3pi) 2 . (1) What would be your best estimate of a?…
A company manufactures Products A, B, and C. Each product is processed in three departments: I, II, and III. The total available labor-hours per week for Departments I, II, and III are 1020, 1080, and 900, respectively. The time requirements (in hours per unit) and the profit per unit for each product are as follows. Product A Product B Product C Dept. I 2 1 2 Dept. II 3 1 2 Dept. II 2 2 1 Profit $18 $12 $15 If management decides that the number of units of Product B manufactured must equal or exceed the number of units of products A and C manufactured, how many units of each product should the company produce to maximize its profit?
It costs $1 million in R&D to develop a new diabetes treatment. The marginal cost of producing and marketing a treatment, once discovered, is $10. Suppose that Pfizer currently is selling a treatment that is covered by a valid patent, which is set to expire in one year. What is the most likely outcome of a proposed law that would allow generic drug companies to enter any market 5 years before the expiration of the patent covering it? A. More diabetics would use the treatment Pfizer invented, and drug companies would invest more in R&D for future treatments B. Fewer diabetics would use the treatment Pfizer invented, and drug companies would invest more in R&D for future treatments C. More diabetics would use the treatment Pfizer invented, and drug companies would invest less in R&D for future treatments D. Fewer diabetics would use the treatment Pfizer invented, and drug companies would invest less in R&D for future treatments
Wonopoly and natural resource prices Suppose that a firm is the sole owner of a stock of a natural resource. a. How should the analysis of the maximization of the discounted profits from selling this resource (Equation 17.63 be modified to take this fact into account? b. Suppose that the demand for the resource in question had a constant elasticity form q(t)=a[p(t)]b . How would this change the price dynamics shown in Equation 17.67? c. How would the answer to Problem 17.7 be changed if the entire crude oil supply were owned by a single firm?