Suppose the cost ($) of manufacturing x items is given by...

[lynn005]

Here is the complete question and what I have done, which doesn’t look right to me.

Question: Suppose the cost in dollars of manufacturing x items is given by:

C = 2000x + 3500

and the demand equation is given by:

x = √15000-1.5p

(this is x = square root of 15000-1.5p). In terms of the demand x, find an expression for the revenue, profit, and for marginal profit.

Here is my solution:

R(x)= xp (x) = 15000x-1.5x² (revenue expression)

P (x) = (15000x-1.5x²) – (2000x +3500)

which ends up:

P (x) 13000x-1.5x²-3500 (profit expression)

p ‘(x) 13000 – 3x (for marginal profit expression).

Can anyone let me know what they think? Thanks.
Jen

 

[tkhunny]

It would help if you used consistent notation.

Is it 'p' or 'p(x)'?
Is it 'C' or 'C(x)'?

When you solved for p(x), you did not show your work. It was very hard to follow. It seems you had a little trouble with the 1.5. Try that again.

Whenever you assume notation is standard, you run the risk of not being understood. Tell us deliberately what you mean.