A manufacturer has been selling 1300 QLED televisions a week at $360 each. A market survey...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
A manufacturer has been selling 1300 QLED televisions a week at $360 each. A market survey indicates that for each $16 discount offered to a buyer, the total number sold will increase by 160 TVs per week. We will define the variable a to represent the number of $16 discounts that are offered. We will allow a to be any real number, including decimal values. (a) Find the function p(a) which gives the price of a television in dollars, where a is the number of discounts. p(a) (b) Find the function q(a) which gives the quantity of televisions sold (the weekly demand), where a is the number of discounts. g(a). (c) Find the total revenue function R(a) which gives the weekly revenue in dollars, where a is the number of discounts. R(a). (d) Find the value of a that will maximize the weekly revenue function R(a). Do not round your answer. The value of a to maximize weekly revenue is a BBN95671JFWdErv020YV (e) Use your answers above to complete the following sentences. Round each answer to the nearest whole dollar. In order to maximize weekly revenue from the sale of QLED televisions, the manufacturer should discount the current price by a total of 5 The new price will be s which will generate a weekly revenue of $ (1) Still using the a variable defined above, now suppose the weekly cost in dollars is given by the function C(a)=234000+ 19200a. Determine the value of a that will maximize the weekly profit. Do not round your answer. The value of a to maximize weekly profit is a (g) Use your answers above to complete the following sentences: Round each answer to the nearest whole dollar. In order to maximize weekly profit from the sale of QLED televisions, the manufacturer should discount the current price by a total of S The new price will be $ which will generate a weekly profit of $ A manufacturer has been selling 1300 QLED televisions a week at $360 each. A market survey indicates that for each $16 discount offered to a buyer, the total number sold will increase by 160 TVs per week. We will define the variable a to represent the number of $16 discounts that are offered. We will allow a to be any real number, including decimal values. (a) Find the function p(a) which gives the price of a television in dollars, where a is the number of discounts. p(a) (b) Find the function q(a) which gives the quantity of televisions sold (the weekly demand), where a is the number of discounts. g(a). (c) Find the total revenue function R(a) which gives the weekly revenue in dollars, where a is the number of discounts. R(a). (d) Find the value of a that will maximize the weekly revenue function R(a). Do not round your answer. The value of a to maximize weekly revenue is a BBN95671JFWdErv020YV (e) Use your answers above to complete the following sentences. Round each answer to the nearest whole dollar. In order to maximize weekly revenue from the sale of QLED televisions, the manufacturer should discount the current price by a total of 5 The new price will be s which will generate a weekly revenue of $ (1) Still using the a variable defined above, now suppose the weekly cost in dollars is given by the function C(a)=234000+ 19200a. Determine the value of a that will maximize the weekly profit. Do not round your answer. The value of a to maximize weekly profit is a (g) Use your answers above to complete the following sentences: Round each answer to the nearest whole dollar. In order to maximize weekly profit from the sale of QLED televisions, the manufacturer should discount the current price by a total of S The new price will be $ which will generate a weekly profit of $
Expert Answer:
Answer rating: 100% (QA)
a The function which gives the quantity of televisions sold the weekly demand is qa 1300 160a where ... View the full answer
Related Book For
Pricing Strategies A Marketing approach
ISBN: 978-1412964746
1st edition
Authors: Robert M. Schindler
Posted Date:
Students also viewed these mathematics questions
-
A manufacturer has been selling 1000 television sets a week at $450 each. A market survey indicates that for each $10 rebate offered to the buyer, the number of sets sold will increase by 100 per...
-
A manufacturer has been selling 50,000 units per year of a certain product. The price of this product is $20 and the variable costs associated with the product are $12 per unit. The manufacturer is...
-
A manufacturer has been purchasing raw materials from a supplier whose consignments have a variance of 15.4 (in squared pounds) in impurity levels. A rival supplier claims that she can supply...
-
QUESTION 5 Discuss the difference between the following:(a) Functional & non-functional requirements(b) User & system requirements T T T Arial ABC 3 (12pt) T Path: p Words:0
-
Changes in Equity The equity section of Hasbro Inc, at January 1, 2010, was as follows. Share capitalordinary.................. $300,000 Accumulated other comprehensive income Unrealized holding gain...
-
Problems: 1 . Julia currently is considering the purchase of some land to be held as an investment. She and the seller have agreed on a contract under which Julia would pay $ 1 , 0 0 0 per month for...
-
The chapter highlight on Microsoft's corporate social responsibility efforts discussed two of the company's efforts. Go to Microsoft's Website and navigate to the section "About Microsoft;" then...
-
Along-distance telephone company is trying to determine the optimal pricing structure for its daytime and evening long-distance calling rates. It estimates the demand for phone lines as follows:...
-
Current Attempt in Progress From the following ledger balances, prepare a trial balance for the Bonita Company at June 30, 2022. All account balances are normal. Accounts Payable $10,500, Cash...
-
In the FRED database, find data on nominal gross domestic product (a measure of total output), nominal exports, nominal imports, the Federal governments current receipts, and Federal government...
-
h(x) = So tu du a) Show h(x) has an inverse b) Find () ' (4) (nt inverse function)
-
## Ex18: Plotly-TimeSeries ## Objective: Use Python to create a time series chart that displays the stock prices of IBM, Google and Airbnb for an 18-month period from 1-Jan-2022 to 1-Jun-2023....
-
The cash balance per books for Wellmeyer Company on November 30, 2010, is $10,740.93. The following checks and receipts were recorded for the month of December 2010: Checks Receipts No. Amount No....
-
How does the vendor benefit in a vendor-managed inventory system? The vendor is able to grow its sales and its business. The vendor gets to do more work. The vendor gains a business for the long term...
-
Nieman Company purchased merchandise on account from Springhill Company for $10,200, terms 2/10, n/30. Nieman returned merchandise with an invoice amount of $1,600 and received full credit. a. If...
-
The Milikan experiment can be performed with latex microspheres, each with a mass of 2 . 2 x 1 0 ^ - 1 5 kg . What voltage is needed to balance a sphere with an excess charge of 9 electrons between...
-
The Egghead Smartphone Company receives 450 cases of imported memory cards every 30 days. The number of cases of memory cards on inventory t days after the shipment arrives is N(t) = 450 - 1530t....
-
-x/2 x/4 If A = -x/2 and A-1 =6 then x equals
-
What is a competitive stance? Why is it useful to know the competitive stance of ones competitors?
-
A cell phone is a product that helps people interact socially with other people. Does that mean that a cell phone is a product that will always satisfy consumer needs for social performance? Explain...
-
Describe the conditions that would make the use of advance-purchase discounts appropriate.
-
Describe and explain the circular flow model. Scarcity, Trade-Offs, and Production Possibilities CHAPTER 3
-
Describe and explain the three economic questions that every society faces.
-
Illustrate economic growth on a production possibilities curve.
Study smarter with the SolutionInn App