The table below gives the quantity of electronic sensors demanded and the quantitysupplied for selected prices.(a) Find the linear equation that gives the price as a function of the quantity demanded.(b) Find the linear equation that gives the price as a function of the quantity supplied.(c) Use these equations to find the market equilibrium price.Price($)20CRAWNG304050100Quantity Demanded (thousands)650600550500250QuantitySupplied (thousands)02004006001600COTTES(a) What is the price as a function of the quantity demanded?P=0(Type an expression using q as the variable. Type your answerin slope-intercept form.)(b) What is the price as a function of the quantity supplied?p=(Type an expression using q as the variable. Type your answerin slope-tercept form.)(c) What is the market equilibrium price?

The table below gives the quantity demanded and quantity supplied of electronic sensors: (a) To…

Answered: The table below gives the quantity of…

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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Unit 5.1 19. A movie theater has fixed costs of $5000 per day and variable costs averaging $6 per customer. The theater charges $11 per ticket. (a) How many customers per day does the theater need in order to make a profit? (b) Find the cost and revenue functions and graph them on the same axes. Mark the break-even point. 24. A new bus worth $100,000 in 2010 depreciates linearly to $20 000 in 203n
U.S. Population Over Age 16 The table gives theprojections of the population, in millions, of U.S.residents over age 16 for selected years 2015 to 2060.a. Graph the data, with y equal to the population inmillions and x equal to the number of years after2010.b. Find a linear function that models the data, with yequal to the population in millions and x equal to thenumber of years after 2010.c. Graph the model and the data on the same axesand comment on the fit of the model to the data.d. What does the model predict that the populationwill be in 2042?e. In what year does the model predict that the population will be 336.827 million?
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 month 1,000g dollars (when g contracts are signed) Variable costs: Express ISeeYou Productions' monthly cost as a function the 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…
A dairy spends $24,000 per year to maintain its barns and equipment. It costs $2000 per year to feed and care for each dairy cow. (a) Using C for the number of dairy cows and E for the total yearly expense, in dollars, find a formula that gives the total yearly expense as a linear function of the number of dairy cows. E = (b) Use functional notation to express the total expense if the dairy has 40 cows. E(40) E(40C) 40E E(2000) E(24,000) (c) Calculate the value from part (b). $

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