You are an executive for Super Computer, Inc. (SC), which rents out super computers. SC receives a fixed rental paymentper time period in exchange for the right to unlimited computing at a rate of P cents per second. SC has two types ofpotential customers of equal number-10 businesses and 10 academic institutions. Each business customer has thedemand function Q = 10 - P, where Q is in millions of seconds per month; each academic institution has the demandQ = 8-P. The marginal cost to SC of additional computing is 2 cents per second, regardless of volume. a. Supposethat you could separate business and academic customers. What rental fee and usage fee would you charge eachgroup? What would be your profits? b. Suppose you were unable to keep the two types of customers separate andcharged a zero rental fee. What usage fee would maximize your profits? What would be your profits? c. Suppose youset up one two-part tariff-that is, you set one rental and one usage fee that both business and academic customerspay. What usage and rental fees would you set? What would be your profits? Explain why price would not be equal tomarginal cost. Provide the steps.

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Answered: You are an executive for Super…

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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You are an executive for Super Computer, Inc. (SC), which rents out super computers. SC receives a fixed rental payment per time period in exchange for the right to unlimited computing at a rate of P cents per second. SC has two types of potential customers of equal number-10 businesses and 10 academic institutions. Each business customer has the demand function: where Q is in millions of seconds per month; each academic institution has the demand: Q=15-P, Q=12-P. The marginal cost to SC of additional computing is 2 cents per second, regardless of volume. a. Suppose that you could separate business and academic customers. What rental fee and usage fee would you charge each group? What would be your profits? (Round all answers to the nearest integer) For business users, the rental fee would be $ 845,000 per month and the usage fee is 2 cents per second. For academic institutions, the rental fee would be $ 500,000 per month and the usage fee is 2 cents per second. SC's total profits are…
You are an executive for Super Computer, Inc. (SC), which rents out super computers. SC receives a fixed rental payment per time period in exchange for the right to unlimited computing at a rate of P cents per second. SC has two types of potential customers of equal number—10 businesses and 10 academic institutions. Each business customer has the demand function: Q=14−P, where Q is in millions of seconds per month; each academic institution has the demand: Q=10−P. The marginal cost to SC of additional computing is 2 cents per second, regardless of volume. a. Suppose that you could separate business and academic customers. What rental fee and usage fee would you charge each group? What would be your profits? (Round all answers to the nearest integer) For business users, the rental fee would be$720,000per month and the usage fee is 2 cents per second. For academic institutions, the rental fee would be $320,000 per month and the usage fee is 2 cents per second.…
Question You are an executive for Super Computer, Inc. (SC), which rents out super computers. SC receives a fixed rental payment per time period in exchange for the right to unlimited computing at a rate of P cents per second. SC has two types of potential customers of equal number—10 businesses and 10 academic institutions. Each business customer has the demand function: Q=14−P, where Q is in millions of seconds per month; each academic institution has the demand: Q=10−P. The marginal cost to SC of additional computing is 2 cents per second, regardless of volume. a. Suppose that you could separate business and academic customers. What rental fee and usage fee would you charge each group? What would be your profits? (Round all answers to the nearest integer) For business users, the rental fee would be$720,000per month and the usage fee is 2 cents per second. For academic institutions, the rental fee would be $320,000 per month and the usage fee is 2 cents per…
A) The monthly demand function for particlar prodct q = f(p) = 30000 - 25p Determine the quadratic total revenue function, where Ris a function of p or R=g(p). What is the concavity of the function?What is the q intercept?What does total revenue equal at a price of $60? How many units will be demanded at this price? At what price will total revenue be maximized? B) Consder the linear equation 4x -3y = 36 What is the slope of the line represented by the given equation?What is the slope of any line perpendicular to the given line? C) Find ?′(2) and determine the values of x for which ?′(?) = 0i)?(?) = ??2?-2? ii)?(?) = (2? − 8)5
Tuan lives in a town with only one movie rental store. Suppose Tuan's demand for movie rentals per month is Q = 16 - 2P. The movie store currently charges $5 per movie but is thinking of adding a flat monthly cardholder fee and dropping the price to $2 per rental. At this new price, what is the largest cardholder fee that Tuan will pay? If the rental store has a constant marginal cost of $2, which strategy is more profitable?
BigSwaba Corp produces virus home test kits which it sells in the market. It pays a marketing company to post Instagram images of people using the kits in the comfort of their own homes. The demand for the kits and cost of production are as follows: 1 1 Cost: C=200+=q´ +m 1/2 Demand: p=48+m/: Where m is the firm's marketing expenditure. Assume the CEO of BigSwaba asks you to help the company maximize profit. а. How many kits should the company sell and at what price? b. What is the demand elasticity at this output level? C. What should their marketing budget be? Assume the CEO of BigSwaba realizes her bonus will determined not by profits, but by the firm's revenue. Maintaining the same marketing budget as in part a: d. What quantity should the firm produce to maximize revenue?
An industrial firm makes two products, A and B. These products require water resources where they are very scarce. The products they make are unique, and hence they can set the unit price of each product at any value they want to. However, experience tells them that the higher the unit price for a product, the less amount of that product they will sell. The relationship between the unit price and quantity that can be sold is given by the following two demand functions: Assume for simplicity that the unit price for product A is (16 - A) and for product B is (18-2.5B). Suppose the total amount of A and B could not exceed the total amount of Tmax. Where Tmax = 10. Please use "Lagrange Multiplier" method to determine what are the amounts of A and B, and their unit prices, that maximize total revenue (Set the marginal increments at 1).
Question 2. 7. commissioned a study that showed the demand by fans for stadium seats (per playing date) to be P- 22 - 0.2Q, where P is the average price of a ticket and Q represents the number of seats (expressed in thousands). The local stadium seats a maximum of 56,000 per game. Suppose the owner offers you 10% of the revenues. If you can only choose a uniform per-ticket price, what is the maximum amount you can carn per game? (Note: Assume that all seats and all games are the same in this problem.) The owner of a baseball team and local stadium has
Suppose there exists a costless way to charge drivers on the freeway. Under this costless system, tolls on the freeway would be adjusted according to traffic conditions. For example, when traffic is usually heavy, as it is from 6:30 a.m. to 9:00 a.m. on a weekday, the toll to drive on the freeway would be higher than when traffic is light. In other words, freeway tolls would be used to equate the demand for freeway space with its supply. Would you be in favor of such a system to replace our current (largely zero price) system? Explain your answer.
The second-largest public utility in the nation is the sole provider of electricity in 32counties of southern Florida. To meet the monthly demand for electricity in these counties,which is given by the inverse demand function P = 1,200 − 4Q, the utility companyhas set up two electric generating facilities: Q1 kilowatts are produced at facility 1 andQ2 kilowatts are produced at facility 2 (so Q = Q1 + Q2). The costs of producing electricityat each facility are given by C1(Q1) = 8,000 + 6Q12 and C2(Q2) = 6,000 + 3Q22,respectively. Determine the profit-maximizing amounts of electricity to produce at thetwo facilities, the optimal price, and the utility company’s profits. (LO1, LO8)
If club members charge $9 admission to a classic car show, 1,000 people will attend, and for each $1 increase in price, 100 fewer people will attend. Let x represent the amount of increase in price (in dollars). Find R(x), the total revenue function (in dollars). R(x) = Find R'(x). R'(x) = What price will give the maximum revenue for the show? $ per ticket Find the maximum revenue. $
Q2. Your brother is considering two cell phone providers i.e. UFONE and MOBILINK. UFONE charges Rs.520 (super card) per month for the service regardless of the number of phone calls made. MOBILINK does not have a fixed service fee but instead charges Rs. 1 per minute for calls. Your brother's monthly demand for minutes of calling is given by the equation Q = 150 - 50P, where P is the price of a minute a. With each service provider, what is the cost to your brother of an extra minute on the phone? b. In light of your answer to (a) part, how many minutes would your brother talk on the phone with each service provider? c. How much would he end up paying each provider every month?

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