Nancy's Lawn Care specializes in residential lawn cutting and fertilizing. Nancy, the owner, has trackedhis income and expenses. She has determined that her profit can be represented by the expression $54,where A is the area of a lawn in square metres. The time, in hours, that it takes her to maintain a lawn isapproximately 0.054 +0.25.a) Write a rational expression for Nancy's profit per hour.b) Evaluate the rational expression you wrote in part a) for a lawn with an area of 90 m².

Introduction: The ratio of two polynomials is shown in rational formulas. It indicates that the…

Answered: Nancy's Lawn Care specializes in…

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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The acreage of soybean planted in the United States from 1980 to 2006 can be modeled by A = -0.0058 +3 -0.29 +2 +100t+2900 where A is the amount of acres (in millions) of soybean planted and t is the number of years since 1980. How much planting space was there in 1992? Round your answer to 3 decimal places. Number million acres.
<-2 c. Simplify: x+2
A company sells a chair for $450. It costs them $350 to make each chair, plus fixed costs for operation of $20,000. Write the cost and revenue functions. Cost = Revenue = (Type expressions using x as the variable.)
A landscaping company is hired to mow the grass for several large properties. The total area of the properties combined is 1,350 acres. The rate at which one person can mow is as follows: ŷ = 1350 − 1.5x where x is the number of hours and ŷ represents the number of acres left to mow. How many acres will be left to mow after 36 hours of work? (Enter an exact number as an integer, fraction, or decimal.)
The student council plans to run the annual talent show to raise money for charity. Last year, ticketssold for $11 each and 400 people attended. The student council has decided to raise the ticket pricefor this year’s talent show. The student council has determined that, for every $ 1 increase in price,the talent show attendance would decrease by 20 people. Let x represent the number of $1 increases.a) Write the revenue function from ticket sales. Do not simplify. R(x) = _______________________________________b) What ticket price would maximize the revenue?
Let y represent the total cost of publishing a book (in dollars). Let x represent the number of copies of the book printed. Suppose that x and y are related by the equation 1150 +10x=y. Answer the questions below. Note that a change can be an increase or a decrease. For an increase, use a positive number. For a decrease, use a negative number. What is the change in the total cost for each book printed? What is the cost to get started (before any books are printed)? $0 X S
The total amount of money (in cents) of x dimes and (x+7) nickels.
Suppose you are a cost accountant in a manufacturing firm. The cost accounting department have pre-determined that the cost in pesos of producing portable speakers is given by the function ?(?) = 3?(? − 100) + 32000 where ? is the number of speakers produced in a week. You are tasked by your firm to determine the following: the average cost function and the average cost per speaker if 50 are produced in a week.
A company produces lamps, for which the variable cost is $7 per lamp and the fixed costs are $25000. They will sell the lamps for $80 each. Let be the number of lamps produced. a) Write an expression to represent the total cost. C(x) = b) Write an expression to represent the total revenue. R(x) = c) Find the number of lamps which must be produced to break even.
The area of a metal frame being built by a construction company can be represented by the function A(w)=2w2+12w, where w represents the width in meters of the frame. What is the area of the frame in square meters when the width equals 3 meters?

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