Question

Adriana earns 5% commission on her sales up to $25 000 , 5.5% on any sales between $25 000 and $35 000 , 6% on any sales between $35 00 and $45 000 , and 7% for any sales over $45 000. Draw a graph to represent how Adriana's earning depend on her sales. what sales value does she need to ear $2000?

Answer 1

Answer on Question #46148- Math- Other

Question:

Adriana earns 5% commission on her sales up to $25 000, 5.5% on any sales between $25 000 and $35 000, 6% on any sales between $35 000 and $45 000, and 7% for any sales over $45 000. Draw a graph to represent how Adriana's earning depend on her sales. What sales value does she need to earn $2000?

Solution:

X – sales. Y(X) – earnings.

$$y(x) = \begin{cases} 0.05x, & 0 \leq x \leq 25000 \\ 0.055x, & 25000 < x \leq 35000 \\ 0.06x, & 35000 < x \leq 45000 \\ 0.07x, & 45000 < x \end{cases}$$

Y(35000)=0.055*35000=1925.

Y(35000 + ε)=0.06(35000 + ε) = 2100 + 0.06 ε > 2100.

We can see, that Adrianna can't earn exactly $2000, but if she wants to earn more than $2000, the value of sales should exceed $35000.

Answer: Anything more than $35000.

www.AssignmentExpert.com