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 g contracts per month.p(q) =(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 month1,000g dollars (when g contracts are signed)Variable costs:Express ISeeYou Productions' monthly cost as a functionthe number q of contracts.C(a) =(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 6.75X or 15.75X contracts.

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Answered: As Sales Manager for ISeeYou…

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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Using Social Security Administration data for selected years from 2012 and projected to 2050, the U.S. consumer price index (CPI) can be modeled by the function y = 0.0682x² + 1.76x + 96.0 where x is the number of years past 2010 and y is the CPI in dollars. With a reference of 100 in 2012, a CPI of 120 in another year means that goods and services costing $100 in 2012 are expected to cost $120 in that other year (a) Use a table to determine a viewing window that shows a complete graph of this function for the years from 2010 to 2050. 2050 corresponds to an x value of which corresponds to a y value of The y maximum should be -Select-than this function value (b) Graph the function. y 300 250 200 150 100 50 0 y 300 250 200 150 100 50 X = Need Help? 51 F Partly sunny 10 10 20 Read It 20 30 30 T X 40 40 y 300 250 200 150 100 50 0 0 10 (c) Use the graph to estimate when the CPI is predicted to reach 250. (Round your answer to the nearest whole year.) years 20 30 Q Search 40 y 300 250 200…
It costs a company $3,500 to produce 3,000 pencils whereas it costs the company $1,500a month even if they don't produce any pencils. If they sell the pencils for $0.75 and thecost, revenue, and profit functions are linear, determine how many pencils they must makein a month to break even
A candy producer charges $4 for its special lollipop. It costs them $1.50 to produce each lollipop. Additionally, they spend $370 per week to maintain the production. A. Let C represent the weekly cost in dollars and let x represent the number of lollipops produced. Write down the producer’s weekly cost function. B. Let R represent the revenue in dollars and let x represent the number of lollipops sold. Write down the producer’s revenue function.
The marketing department of a company estimates that the demand for a product is given by p = 100 - 0.0001x, where p is the price per unit and x is the number of units. The cost C of producing x units is given by C = 310,000 + 25x and the profit P for producing and selling x units is given by P = R - C = xp – C. Sketch the graph of the profit function. P FA 15 000 000 15 000 000 10 000 000 10 000 000 5 000 000 5000 000 1 2 3 4 5 7 8 9 1 2 3 4 5 6 8 9 1 = 100,000 1= 100,000 MacBook DII 888 F9 F8 F7 F4 F5 F3 F1 * & $ % @ # 8 9 2 3 4 T Y Q W K G H .. . - < (O
The company sells all the electronic devices it makes. Its profit is $65 for every laptop sold and $45 for every tablet sold. What is the objective function for maximizing profit?
A small bicycle manufacturer has daily fixed costs of $1958 and each bicycle costs $78 to manufacture. Let x represent the number of bicycles manufactured and C(x) represents the cost of manufacturing. Complete parts (a) through (c). www. (a) Write a linear function that models this situation. C(x) = (b) Find C(6). Interpret your answer in the context of this problem. C(6)=. This means that the cost of manufacturing bicycles in a day is $ A (c) Find the value of x if C(x) = 2738. Express this situation using function notation, and interpret it in the context of this problem. when C(x) = 2738. This means that the cost of manufacturing bicycles in a day is $

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