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 $15,750. With this pricing structure, ISeeYou is able to sign 42 contracts per month. This is down from 98 contracts, which was the figure last year when your company charged each client only $8,750. (a) Construct a linear function that yields the development fee p that ISeeYou should charge in order to sign q contracts per month. P(q) = (b) Find the total revenue R ISeeYou obtains by signing q contracts. R(q) = (c) The costs to ISeeYou Productions are estimated as follows: Fixed costs: Variable costs: 1,750g dollars (when q contracts are signed) $245,000 per month Express ISeeYou Productions' monthly cost as a function of the number q of contracts. C(q) = (d) Express ISeeYou Productions' monthly profit as a function of 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 or contracts.
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 $15,750. With this pricing structure, ISeeYou is able to sign 42 contracts per month. This is down from 98 contracts, which was the figure last year when your company charged each client only $8,750. (a) Construct a linear function that yields the development fee p that ISeeYou should charge in order to sign q contracts per month. P(q) = (b) Find the total revenue R ISeeYou obtains by signing q contracts. R(q) = (c) The costs to ISeeYou Productions are estimated as follows: Fixed costs: Variable costs: 1,750g dollars (when q contracts are signed) $245,000 per month Express ISeeYou Productions' monthly cost as a function of the number q of contracts. C(q) = (d) Express ISeeYou Productions' monthly profit as a function of 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 or contracts.
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter3: Graphing Linear Functions
Section: Chapter Questions
Problem 1CA
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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 $15,750. With this pricing structure, ISeeYou is able to sign 42
contracts per month. This is down from 98 contracts, which was the figure last year when your company charged each client only
$8,750.
(a) Construct a linear function that yields the development fee p that ISeeYou should charge in order to sign q contracts per
month.
p(q)
(b) Find the total revenue R ISeeYou obtains by signing q contracts.
R(q) =
(c) The costs to ISeeYou Productions are estimated as follows:
Fixed costs:
$245,000 per month
1,750g dollars (when q contracts are signed)
Variable costs:
Express ISeeYou Productions' monthly cost as a function of the number q of contracts.
C(q) =
(d) Express ISeeYou Productions' monthly profit as a function of the number q of contracts.
P(g) =
(e) How many contracts could ISeeYou sign to break even? (Enter the lower value first.)
ISeeYou breaks even when they sign
contracts.
or
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