Question

A small company has an advertising budget of \(15,000. The company plans to produce and air a television commercial. It will cost \)500 to produce the commercial and an additional $50 each time the commercial is aired. How many days can the company afford to run the commercial if it is aired once a day?

Short answer

The company can afford 290 days to run the commercial if it is aired once a day.

Step-by-step solution

Step-1 – Given

Given that:

The advertising budget is $ 15000

The commercial charge is $ 500

The additional charge is $ 50 .

Step-2 – To determine

We have to find the number of days that can be afforded by the company to run the commercial if is aired once a day.

Step-3 – Calculation

Assume that d = the number of days that can be afford by the company.

According to the question:$500+50d\le 15000$

$\begin{array}{l}500+50d-500\le 15000-500\\ 50d\le 14500\\ d\le \frac{14500}{50}\\ d\le 290\end{array}$

So, the company can afford 290 days to run the commercial if it is aired once a day.