Apply the properties of functions to correctly determine and interpret the break-even point in the following situations, using valid mathematical procedures and correct mathematical notation. Express your answer in terms of the context of the problem. The total monthly income of a nursery school for caring for x children is given by r = 500x, and its total monthly costs are c = 280x + 2500. How many children need to enroll monthly to break even? In other words, when do

Q: The cost of hiring a handyman to help with home jobs costs $50 plus $35 per hour for each hour the…

A: The cost function C(t) =50+35twhere t is number of hours worked by the handman

Q: A company decides to begin making and selling computers. The price function is given as follows:…

A:

Q: A once thriving company in Teaneck had its monthly profits, in thousands of dollars, modeled by the…

A: we need to find out the profit many years into the future.

Q: Disposable income, the amount left after taxes have been paid, is one measure of the health of the…

A: income per capita can be approximated by the equation  I=707.6 t +39,090 where t is  the number of…

Q: How many masks must Lakisha make a week to break even if her profit function is P(x) = 19x -500?…

A:

Q: A company that manufactures small canoes has a fixed cost of $24,000. It costs $120 to produce each…

A: A company manufactures small canoes has a fixed cost of $24,000 and it costs $120 to produce each…

Q: Demand for The Secret Loves of John O, a romance novel by Margó Dufón that flopped after two weeks…

A: Let's find.

Q: The total cost of producing a type of truck is given by C(x) = 10000 - 80x + 0.2x2, where x is the…

A:

Q: When a company charges p per unit, it can sell 100 − 2p units. What is the revenue function?" I'm…

A: Given that:-price per item=punits of item sold=100-2pTo find: the revenue function

Q: You are selling fidget spinners for $32 each. If it costs you C(x)=9+x^4 dollars to produce x fidget…

A: We are selling fidget spinners for $32 each.  We are C(x)=9+x^4 dollars to produce x fidget…

Q: 4. The profit function of Firm GG is n=-2q2+280q. What is the profit maximizing quantity?What is the…

A:

Q: For a manufacturer's product, the demand function is p = 240 + 57q - q² At what level of output…

A: Let the demand function is p=240+57q-q2   To determine: The value of q at which the revenue function…

Q: (e) Graph C as a function of x. с 300- 250 200 150 100 50 100 50 C -50 -100- -150 -200 -250 0.5 0.5…

A: ANSWER: C(x) = 18 + 81x   a) Use the cost function i.e. C(x) to get the cost renting 2 tuxes: C(2) =…

Q: The Hydro water department has a monthly service charge of $15 10 and a volume charge of $2 25 for…

A: Let y1 be the monthly cost of the family income in the last month. Let y2 be the monthly cost of the…

Q: Solve the problem. Suppose a car rental company charges $134 for the first day and $84 for each…

A: Given:Cost for the first day: .Cost for each additional or partial day: To find: The value of the…

Q: A company is planning to manufacture mountain bikes. Fixed monthly cost will be $300,000 and it will…

A: Number of mountain bikes are x The variable cost of producing  each  mountain  bike is $ 200. So,…

Q: Machine A has a fixed daily cost of $60 and a variable cost of $1.00 per item produced. Machine B…

A: Given  Machine A fixed cost = Machine A variable cost = Machine B fixed cost = Machine B variable…