A monopoly's cost function (C) isC=0.2Q° - 12.5Q²+ 380Q + 200where Q is output. Demand isp= 650 - 2Q.Determine the profit-maximizing price and output for the monopolist.The profit-maximizing output level isunits of output. (Enter a numeric response using an integer.)The profit-maximizing price is $e',"H_604620tvMacBook Air80DIIF2F3F4F7F8F9232$&3456ERY|PFGH.KCVNcommand* 0

In the given question, the concept of maximization is applied. Maximization The critical points of a…

Answered: tput. Demand is p= 650 - 2Q. e…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

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Problem 1RQ

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The owner of a skating rink rents the rink for parties at $800 if 40 or fewer skaters attend, so that the cost per person is $20 if 40 attend. For each 5 skaters above 40, she reduces the price per skater by $0.50. (a) Construct a table that gives the revenue generated if 40, 50, and 60 skaters attend. No. of skaters Total Revenue 40 50 60 Price per Skater $ $ $ (b) Does the owner's revenue from the rental of the rink increase or decrease as the number of skaters increases from 40 to 60? O The revenue increases. O The revenue decreases. (c) Write the equation that describes the revenue for parties with x groups of five skaters more than 40 skaters. R(x) = (d) Find the number of skaters that will maximize the revenue. skaters (e) Find the maximum revenue. $ (f) When the revenue is at the maximum possible, what price is paid per skater? $
The total setup cost for the year is _______y. Since it costs $0.50 to store a book for one year, the total storage cost is ______X. Enter your answer as a decimal.
Fran receives $153 per year in simple interest from investing $1900. Part is invested at 7%, part at 8% and part at 9%. There is $100 more invested at 9% than at 8%. Find the amount invested at each rate.The amount invested at 7% is $___.The amount invested at 8% is $___.The amount invested at 9% is $___.
The owner of a skating rink rents the rink for parties at $800 if 40 or fewer skaters attend, so that the cost per person is $20 if 40 attend. For each 5 skaters above 40, she reduces the price per skater by $0.50. (a) Construct a table that gives the revenue generated if 40, 50, and 60 skaters attend. No. of skaters Total Revenue 40 50 60 20 19 18 Price per Skater $800 $950 $ 1080 (b) Does the owner's revenue from the rental of the rink increase or decrease as the number of skaters increases from 40 to 60? lo The revenue increases. The revenue decreases. (c) Write the equation that describes the revenue for parties with x groups of five skaters more than 40 skaters. R(x) = (20-0.5x) (40+5x) (d) Find the number of skaters that will maximize the revenue. skaters (e) Find the maximum revenue. $ (f) When the revenue is at the maximum possible, what price is paid per skater? $
Use the table to the right to calculate the federal income tax due for a taxable income of 208,000.

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tput. Demand is p= 650 - 2Q. e profit-maximizing price and output for the monopolist. aximizing output level is units of output. (Enter a numeric response using an integer.) aximizing price is $.