Television Advertising As Sales Manager for Montevideo Productions, Inc., you are planning to review the prices you charge clients for television advertisement development. You currentiy charge each dient an hourly development fee of $2,200. With this pricing structure, the demand, measured by the number of contracts Montevideo signs per month, is 8 contracts. This is down 2 contracts from the figure last year, when your company charged only $2,000. (a) Construct a linear demand equation giving the number of contracts q as a function of the hourly fee p Montevideo charges for development. ate) - (D) On average, Montevideo bills for 40 hours of production time on each contract. Give a formula for the total revenue obtained by charging se per hour. RIp)- (e) The costs to Montevideo Productions are estimated as follows. Fixed costs: $110,000 per month Variable costs: $60,000 per contract Express Montevideo Productions' monthly cost as a function of the number q of contracts. Cle)- Express Montevideo Productions' monthly cost as a function of the hourly production charge p. (4) Express Montevideo Productions' monthly profit as a function of the hourty development fee p. P) - Find the price it shoud charge to maximize the profit (in dollars per hour). per hour

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 3SC: In Example 3, if the accountant earns a profit of 100 on each individual return and a profit of 175...
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Television Advertising As Sales Manager for Montevideo Productions, Inc., you are planning to review the prices you charge clients for television advertisement development. You currently charge
each dient an hourty development fee of $2,200. With this pricing structure, the demand, measured by the number of contracts Montevideo signs per month, is 8 contracts. This is down 2 contracts
from the figure last year, when your company charged only $2,000.
(a) Construct a linear demand equation giving the number of contracts q as a function of the hourly fee p Montevideo charges for development.
ate) -
(D) On average, Montevideo bills for 40 hours of production time on each contract. Give a formula for the total revenue obtained by charging sp per hour.
RIp) =
(e) The costs to Montevideo Productions are estimated as follows.
Fixed costs: $110,000 per month
Variable costs: $60,000 per contract
Express Montevideo Productions' monthly cost an a function of the number q of contracts.
Cle) -
Express Montevideo Productions' monthly cost as a function of the hourly production charge p.
Cp) =
(6) Express Montevideo Productions' monthly profit as a function of the hourty development fee p.
Po) -
Find the price it should charge to maximize the profit (in dollars per hour).
per hour
Transcribed Image Text:Television Advertising As Sales Manager for Montevideo Productions, Inc., you are planning to review the prices you charge clients for television advertisement development. You currently charge each dient an hourty development fee of $2,200. With this pricing structure, the demand, measured by the number of contracts Montevideo signs per month, is 8 contracts. This is down 2 contracts from the figure last year, when your company charged only $2,000. (a) Construct a linear demand equation giving the number of contracts q as a function of the hourly fee p Montevideo charges for development. ate) - (D) On average, Montevideo bills for 40 hours of production time on each contract. Give a formula for the total revenue obtained by charging sp per hour. RIp) = (e) The costs to Montevideo Productions are estimated as follows. Fixed costs: $110,000 per month Variable costs: $60,000 per contract Express Montevideo Productions' monthly cost an a function of the number q of contracts. Cle) - Express Montevideo Productions' monthly cost as a function of the hourly production charge p. Cp) = (6) Express Montevideo Productions' monthly profit as a function of the hourty development fee p. Po) - Find the price it should charge to maximize the profit (in dollars per hour). per hour
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