Question

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

Answer 1

Answer:

(a)

• C(x)=88000+5500x

,

• R(x)=7500x

(b)55 times

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.

$\begin{gathered} 88000=7500x-5900x \\ 88000=1600x \\ x=\frac{88000}{1600} \\ x=55 \end{gathered}$

The musical must be performed 55 times to break even.