please help.. how to solve this problem? When x units of a certain luxury commodity are produced, they can all be sold at a price of p thousand dollars per unit, where p=-6x+100. A. Express the revenue R(x) as a function of x. B. How much revenue is obtained when x=15 units are produced and sold?
Revenue is selling price multiplied by number of units sold.
Selling price is given. Units is x.
how much is the Revenue or the selling price there??
They tell you the selling price in the question... it's p. Multiply it by x. That gives revenue.
p=-6x+100 ?
Don't solve it. Multiply p, which is -6x+100, by x. x(-6x+100)
R(x) = x(-6x+100)
Revenue is price per unit (which is -6x+100) multiplied by number of units sold (which is x) So your revenue is R(x) = x(-6x+100)
Let each unit = x\[1 unit = x \] Let number of units sold = p\[1000$/unit = p \] Note* = The money we make is in 1000s of dollars. Let the Revenue we make be \[x *(p)\] we know p \[p = -6x +100\] \[Hence, R = x(p) = x(-6x +100)\]
I'm sure you can at least try to simplify it on your own @phopXD
Agent0 completed part a. just evaluate it at x = 15, multiply the answer by 1000$.
ok..
thanks mebs :)
To evaluate at x = 15 \[R(15) = (15)(-6(15) +100) \]
GET OUT 3:)
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