Find the marginal profit function given a function for demand and cost

[Runaway]

Homework Statement

A nursery has determined that the demand in June for potted plants is p= 2.00 - (x/30000). The cost of growing x plants is C = 2000 + .20x, 0 $$\leq$$ x $$\leq$$ 100000
Find the marginal profit function.

Homework Equations

N/A

The Attempt at a Solution

I don't know where to begin, mostly because I don't see any way of determining profits because it never gives you any indication of what price they are selling them for, only the costs, is there something I'm missing or is this problem simply unsolvable?

 

[gb7nash]

A nursery has determined that the demand in June for potted plants is p= 2.00 - (x/30000). The cost of growing x plants is C = 2000 + .20x, 0 $$\leq$$ x $$\leq$$ 100000
Find the marginal profit function.

Cost = 2000 + .20x

Revenue = Price*Quantity (where demand indicates price)
Revenue = ...?

Once you have revenue and cost, what's the equation for profit? Once you have profit, how do you get marginal profit?

 

[HallsofIvy]

I think you are miswriting the "demand". I think that "p" is the price and "x" is the number sold. That is, solving the equation for x, the demand is given by x= 3000(p- 2.00), where p is the price.

 

[Runaway]

demand is what it says in the problem, that's what I didn't understand