Question

he price p of a certain commodity and the quantity x sold obey the demand equation p = 600 - x/70.

Suppose that the cost C of producing x units is given by C = 72000 + 60 x.

Express the revenue R as a function of the number sold. (Hint: revenue = number sold * price.)
R(x) =

Answer 1

R = 600x-x^2/70-72000x-60x^2

Answer 2

How did you get that so fast?

Answer 3

no idea

Answer 4

In other words why wouldn't R = 600x -( x^2)/70 - 72000-60x

Answer 5

Why was the cost which is expressed in terms of x (the quantity of the commodity) multiplied by the quantity again?

Answer 6

R = 600- x/70 - 72000-60x

Answer 7

Yes cinar, I messed up and mulltiplie the price by x when in fact it too is expressed in terms of x.

Answer 8

do i keep x/70 in a fraction form?

Answer 9

What else are you considering to do with it? Do you intend to convert it to a decimal?

Answer 10

it does not matter..

Answer 11

It simpler the way it is.

Answer 12

well after that i have to find the equation for price and maximize it

Answer 13

thats why i asked

Answer 14

hold on r(x)= 600- x/70 - 72000-60x? i think i need to get x by itself right?

Answer 15

The price P = 600- (1/70)x or is it supposed to be 600- (1)/(70x) ?

Answer 16

well im doing homework online and when i plug it in its wrong

Answer 17

Is the x in the denominator? See my last question?

Answer 18

yes

Answer 19

Well that changes things. From the problem at the top box it appears in the numerator. Please verify.

Answer 20

I am not sure about this problem, because when the P formula is differentiated P' I cannot solve for a minima. I would repost the problem and insure it is clearly and correctly stated. I have to go right now. good luck with it.

Answer 21

ok thanks