Jimmy owns a small engine repair business. The revenue, in dollars, can be modeled by the equation y = 420 + 72x, where x is the number of hours spent repairing small engines. The overhead cost, in dollars, can be modeled by the equation y = 24x² + 180 where x is the number of hours spent repairing bikes.

Question

15-05-2018
Mathematics

contestada

Jimmy owns a small engine repair business. The revenue, in dollars, can be modeled by the equation y = 420 + 72x, where x is the number of hours spent repairing small engines. The overhead cost, in dollars, can be modeled by the equation y = 24x² + 180 where x is the number of hours spent repairing bikes.

Respuesta :

Otras preguntas

A wire carrying a current of 26.9 A is bent into a circular arc with a radius of 0.6 cm that sweeps out 0.900 radians. What is the magnetic field at the center

1.Is 4/5 equivalent to 32/45?2.Is 7/8 equivalent to 28/32?3.Is 1/10 equivalent to 30/100?4.Is 6/8 equivalent to 24/32?5.Is 5/8 equivalent to 30/70?6.Is 2/3 equi

Write a script and storyboard for a video that presents the story of Macbeth in 60 seconds. If the technology is available, you must work with a group to select

The rationalist finally will be of dogmatic [rigid/arrogant] temper in his affirmations, while the empiricist may be more __________________ discussion

Which function has zeros at x = -2 and x = 5? O f(x) = x2 + 2x - 10 • f(x) = x2 - 2x - 10 O f(x) = X2 + 3x - 10 ® f(x) = x2 - 3x - 10

What is the transformation of f(x)= x^3:NO LINKS!!! THIS IS NOT MULTIPLE CHOICE!!!!!! Part 3:7. f(x)= x^3 - 58. f(x)= -x^39. f(x)= 5x^3

A mass m is placed on an inclined plane (m > 0) and slides down the plane with constant speed. If a similar block (same m) of mass 2m were placed on the same

A special purpose nozzles that are often lowered through holes or other openings to the cellar of an occupancy are called

Three numbers in the interval $\left[0,1\right]$ are chosen independently and at random. What is the probability that the chosen numbers are the side lengths of

Louli Louli · Answer 1 · 2018-05-25T09:03:28+02:00

I added a screenshot with the complete question.

Answer:
5 hours

Explanation:
We are given that:
Revenue equation:
y = 420 + 72x
Overhead equation:
24x² + 180

We are asked to get the break-even point which is calculated by equating the revenue to the overhead cost.

This can be done as follows:
revenue = overhead cost
420 + 72x = 24x² + 180
24x² + 180 - 420 - 72x = 0
24x² - 72x -240 = 0
(x-5)(x+2) = 0

either: x-5=0 ..........> x = 5 hours (accepted value)
or: x+2=0 .......> x = -2 hours (rejected value as time cannot be negative)

Based on the above:
break-even occurs at 5 hours

Hope this helps :)