The cost C of running a gift shop for days is represented by the equation C=300x+1500. The revenue R is represented by the equation R=600x. How many days will it take for the gift shop to break even?

Respuesta :

Answer:

5 days

Step-by-step explanation:

The cost and revenue equations are given in terms of x, which is the number of days.

We want to find the break-even point, which is the point where costs are same as revenues.

We will equate Cost Equation and Revenue Equation and solve for x, the number of days required to BREAK-EVEN. The algebraic process is shown below:

[tex]C=R\\300x+1500=600x\\600x-300x=1500\\300x=1500\\x=\frac{1500}{300}\\x=5[/tex]

Thus,

it is going to take 5 days for the gift shop to break-even

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