As Sales Manager for ISeeYou Productions, you are planning to review the prices you charge clients for television advertisement development. You currently charge each client a development fee of $9,000. With this pricing structure, ISeeYou is able to sign 24 contracts per month. This is down from 56 contracts, which was the figure last year when your company charged each client only $5,000. (a) Construct a linear function that yields the development fee p that ISeeYou should charge in order to sign q contracts per month. p(g) = (b) Find the total revenue R ISeeYou obtains by signing q contracts. R(g) = (c) The costs to ISeeYou Productions are estimated as follows: Fixed costs: $80,000 per month Variable costs: 1,000g dollars (when g contracts are signed) Express ISeeYou Productions' monthly cost as a function of the number g of contracts. C(q) = (d) Express ISeeYou Productions' monthly profit as a function the number q of contracts. P(q) = (e) How many contracts could ISeeYou sign to break even? (Enter the lower value first.) ISeeYou breaks even when they sign 6.75 X or 15.75 X contracts.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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As Sales Manager for ISeeYou Productions, you are planning to review the prices you charge clients for television advertisement development. You currently charge each client a development fee of
$9,000. With this pricing structure, ISeeYou is able to sign 24 contracts per month. This is down from 56 contracts, which was the figure last year when your company charged each client only $5,000.
(a) Construct a linear function that yields the development fee p that ISeeYou should charge in order to sign q contracts per month.
p(g) =
(b) Find the total revenue R ISeeYou obtains by signing q contracts.
R(g) =
(c) The costs to ISeeYou Productions are estimated as follows:
Fixed costs:
$80,000 per month
Variable costs:
1,000g dollars (when g contracts are signed)
Express ISeeYou Productions' monthly cost as a function of the number g of contracts.
C(q) =
(d) Express ISeeYou Productions' monthly profit as a function
the number q of contracts.
P(q) =
(e) How many contracts could ISeeYou sign to break even? (Enter the lower value first.)
ISeeYou breaks even when they sign 6.75
X or 15.75
X contracts.
Transcribed Image Text:As Sales Manager for ISeeYou Productions, you are planning to review the prices you charge clients for television advertisement development. You currently charge each client a development fee of $9,000. With this pricing structure, ISeeYou is able to sign 24 contracts per month. This is down from 56 contracts, which was the figure last year when your company charged each client only $5,000. (a) Construct a linear function that yields the development fee p that ISeeYou should charge in order to sign q contracts per month. p(g) = (b) Find the total revenue R ISeeYou obtains by signing q contracts. R(g) = (c) The costs to ISeeYou Productions are estimated as follows: Fixed costs: $80,000 per month Variable costs: 1,000g dollars (when g contracts are signed) Express ISeeYou Productions' monthly cost as a function of the number g of contracts. C(q) = (d) Express ISeeYou Productions' monthly profit as a function the number q of contracts. P(q) = (e) How many contracts could ISeeYou sign to break even? (Enter the lower value first.) ISeeYou breaks even when they sign 6.75 X or 15.75 X contracts.
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