Question

I'm sorry I need to do this fast so could you explain this to me

Answer 1

(a)

• C(x)=88000+5500x

,

• R(x)=7500x

(b)55 times

Step-by-step explanation:

Let the number of performances = x

• The cost of producing the musical = $88,000

,

• The cost per performance = $5900

(a)Thus, the total cost for x performances:

`\text{Cost,C(x)}=88000+5900x`

The revenue per performance is $7500, therefore, the equation for revenue is:

`R(x)=7500x`

(b)To break even, the cost must be equal to revenue.

`\begin{gathered} C(x)=R(x) \\ 88000+5900x=7500x \end{gathered}`

Next, solve for x.

`\begin{gathered} 88000=7500x-5900x \\ 88000=1600x \\ x=(88000)/(1600) \\ x=55 \end{gathered}`

The musical must be performed 55 times to break even.