Question

The function R(x)=-0.001x@Sup{2} + 3x describes the money that the local sandwich store takes in each week from the sale of x roast beef sandwiches. Use this revenue function and the cost function (.45x + 535) to write the store's weekly profit function, P. (Hint: The profit function is the difference between revenue and cost functions.)

Answer 1

what is "@Sup"

Answer 2

"squared" in superscript. It didn't translate over well. In other words, it could be read -0.001x"squared"

Answer 3

so it is
\[ \large R(x)=-0.001x^2+3x \]
and
\[ \large C(x)=0.45x+535 \]

Answer 4

\[ \large P(x)=R(x)-C(x) \]
do u know calculus?

Answer 5

Unfortunately no. This is for algebra studies.

Answer 6

ok. then u must know how to complete the square

Answer 7

i think all you need to do now is to just simplify the expression R(x) - C(x)

Answer 8

The answer I came up with seemed like exactly that - that it needed to be simplified, but I don't see how to simplify it past this: f = 2.55 + -535x-1 + -0.001x

Answer 9

the question just asks for the profit function...

Answer 10

Right. I should have made it equal to p(x)

Answer 11

yes. u r right @dpaInc . i assumed it was asking for the maximum profit.

Answer 12

yeah... i had to read the question several times myself... i misread the problem too...:)

Answer 13

ok @bgarrett
\[ \large P(x)=R(x)-C(x)=-0.001x^2+3x-(0.45x+535) \]

Answer 14

just simplify like terms as dpaInc said

Answer 15

Things guys. That works. I plugged it into the online exam. I appreciate it!

Answer 16

u r w

Answer 17

:) Thanks. Let me add a few typos to the already confusing world of mathematics.