Practical Management Science
Practical Management Science
6th Edition
ISBN: 9781337406659
Author: WINSTON, Wayne L.
Publisher: Cengage,
bartleby

Concept explainers

bartleby

Videos

Textbook Question
Book Icon
Chapter 2, Problem 30P

A company manufacturers a product in the United States and sells it in England. The unit cost of manufacturing is $50. The current exchange rate (dollars per pound) is 1.221. The demand function, which indicates how many units the company can sell in England as a function of price (in pounds) is of the power type, with constant 27556759 and exponent −2.4.

  1. a. Develop a model for the company’s profit (in dollars) as a function of the price it charges (in pounds). Then use a data table to find the profit-maximizing price to the nearest pound.
  2. b. If the exchange rate varies from its current value, does the profit-maximizing price increase or decrease? Does the maximum profit increase or decrease?
Blurred answer
Students have asked these similar questions
A company has determined that its profit for a product can be described by a linear function.The profit from the production and sale of 150 units is $455, and the profit from250 units is $895.(b) You are the CEO for a lightweight compasses manufacturer. The demandfunction for the lightweight compasses is given by p = 40 − 4q2where qis the number of lightweight compasses produced in millions.It costs the company $15to make a lightweight compass.(i) Write an equation giving profit as a function of the number of lightweight compassesproduced.(ii) At the moment the company produces 2 million lightweight compasses and makes a profitof $18,000,000, but you would like to reduce production. What smaller number oflightweight compasses could the company produce to yield the same profit?
A market analyst working for a small appliance manufacturer finds that if the firm produces and sells x blenders annually, a model for the total profit (in dollars) is P(x) = 8x + 0.3x2 − 0.001x3 − 372. Graph the function P in an appropriate viewing rectangle, and use the graph to answer the following questions. (a) When just a few blenders are manufactured, the firm loses money (profit is negative). (For example,  P(10) = −263,  so the firm loses $263.00 if it produces and sells only 10 blenders.) How many blenders must the firm produce to break even? (Round your answer to the nearest whole number.) blenders(b) Does profit increase indefinitely as more blenders are produced and sold? YesNo     If not, what is the largest possible profit the firm could have? (If profit increases indefinitely, enter your answer as ∞. Otherwise, round your answer to the nearest cent.)
Suppose savers either buy bonds or make deposits in savings accounts at banks. Initially, the interest income earned on bonds or deposits is taxed at a rate of 20%. Now suppose there is a decrease in the tax rate on interest income, from 20% to 15%.   Shift the appropriate curve on the graph to reflect this change. This change in the tax treatment of saving causes the equilibrium interest rate in the market for loanable funds to (fall,rise) and the level of investment spending to (decrease,increase).   An investment tax credit effectively lowers the tax bill of any firm that purchases new capital in the relevant time period. Suppose the government repeals a previously existing investment tax credit. Shift the appropriate curve on the graph to reflect this change. The repeal of the previously existing tax credit causes the interest rate to  (fall,rise)  and the level of saving to (fall,rise).   Initially, the government's budget is balanced, then the government responds…
Knowledge Booster
Background pattern image
Operations Management
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, operations-management and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Text book image
Practical Management Science
Operations Management
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:Cengage,
Single Exponential Smoothing & Weighted Moving Average Time Series Forecasting; Author: Matt Macarty;https://www.youtube.com/watch?v=IjETktmL4Kg;License: Standard YouTube License, CC-BY
Introduction to Forecasting - with Examples; Author: Dr. Bharatendra Rai;https://www.youtube.com/watch?v=98K7AG32qv8;License: Standard Youtube License