Question

An Exhibitor is selling decorative wreaths at an arts and craft show. The net profit P in dollars from the sales of the Wreaths is given by Exhibitor is selling decorative wreaths at an arts and craft show. The net profit P in dollars from the sales of the Wreaths is given by P(n)=0.75n-50, where N is the number of wreaths sold. How many wreaths must the exhibitor sell in order to earn a net profit of $100

Answer 1

Given:

An Exhibitor is selling decorative wreaths at an arts and craft show.

The net profit P in dollars from the sales of the Wreaths is given by $P(n)=0.75n-50$ , where N is the number of wreaths sold.

We need to determine the number of wreaths sold to earn a net profit of $100.

Number of wreaths sold:

The number of wreaths sold to earn a profit of $100 can be determined by substituting P(n) = 100 in the equation $P(n)=0.75n-50$, we get;

$100=0.75n-50$

$150=0.75n$

$\frac{150}{0.75}=n$

$200=n$

Thus, the number of wreaths sold is 200.