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Find the maximum profit and the number of units that must be produced and sold in order to yield the maximum profit. Assume that revenue, R(x), and cost, C(x), of producing x units are in dollars. R(x) = 60x-0.1x², C(x) = 6x+30 In order to yield the maximum profit of $. units must be produced and sold. (Simplify your answers. Round to the nearest cent as needed.) C

Find the maximum profit and the number of units that must be produced and sold in order to yield the maximum profit. Assume that revenue, R(x), and cost, C(x), of producing x units are in dollars. R(x) = 60x-0.1x², C(x) = 6x+30 In order to yield the maximum profit of $. units must be produced and sold. (Simplify your answers. Round to the nearest cent as needed.) C

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Find the maximum profit and the number of units that must be produced and sold in order to yield the maximum profit. Assume that revenue, R(x), and cost, C(x), of producing x units are in dollars. R(x) = 60x-0.1x², C(x) = 6x + 30 In order to yield the maximum profit of $.[ units must be produced and sold. (Simplify your answers. Round to the nearest cent as needed.) C
Transcribed Image Text:Find the maximum profit and the number of units that must be produced and sold in order to yield the maximum profit. Assume that revenue, R(x), and cost, C(x), of producing x units are in dollars. R(x) = 60x-0.1x², C(x) = 6x + 30 In order to yield the maximum profit of $.[ units must be produced and sold. (Simplify your answers. Round to the nearest cent as needed.) C
A university is trying to determine what price to charge for tickets to football games. At a price of $30 per ticket, attendance averages 40,000 people per game. Every decrease of $2 adds 10,000 people to the average number. Every person at the game spends an average of $3.00 on concessions. What price per ticket should be charged in order to maximize revenue? How many people will attend at that price? What is the price per ticket? (
Transcribed Image Text:A university is trying to determine what price to charge for tickets to football games. At a price of $30 per ticket, attendance averages 40,000 people per game. Every decrease of $2 adds 10,000 people to the average number. Every person at the game spends an average of $3.00 on concessions. What price per ticket should be charged in order to maximize revenue? How many people will attend at that price? What is the price per ticket? (
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