Answer
.26
Work Step by Step
From Part A:
We know that net profit margin is given by the net profit over the revenue. This means:
$$ \text{net profit margin} = \frac{P(x)}{R(x)}$$
Since both of these polynomials are given in the problem, we find:
$$ \text{net profit margin} = \frac{.48x^3+2.06x^2+141x+9.72}{1011x-288}$$
Now, we plug in 15
$$\frac{.48(15)^3+2.06(15)^2+141(15)+9.72}{1011(15)-288}$$
Now, we use PEMDAS, a method for simplification. This acronym reminds us that we must first address parentheses, and then exponents. Next, we address multiplication and division, going from left to right. Lastly, we simplify addition and subtraction from left to right. This gives:
.26
