I need homework help.... please..?

[Anonymous]

The Number of apples produced by each tree in an apple orchard depends on how densely the trees are planted. If and trees are planted on an acre of land, then each tree produces 900 – 9n apples. So the number of apples produced per acre is A(n) = n(900-9n).

How many trees should be planted per acre in order to obtain the maximum yield of apples?

and

A manufacturer finds that the revenue generated by selling x units of a certain commodity is given by the function R(x) = 80x - .5x^2, where the revenue R(x) is measured in dollars.

What is the maximum revenue?

How many units should be manufactured to obtain this maximum?

I don't want you to just answer I would like you to explain it to me.

[justeve]

The question is about maximum point so that means you need to know differentiation.

The first question:

I don't get the first question because I can't get the phrasing. But I think it should be substitution of both equation to form one single equation and differentiate it. Find the maximum point by making the differentiated equation = 0 (to find stationary point). Use the graphic caluculator here to find the coordinates to find the number of trees planted.

The second question:

It's the same idea. Differentiate function R hence dR/dx.

Find the maximum point by making the differentiated equation = 0 (to find stationary point). Use the graphic caluculator here to find the coordinates. The maximum point coordinates give the answer of maximum revenue and maximum units of commodity produced.

[trouble9900]

I don't know what level math this is for, but this seems like something you'd put into a graphic calculator and then find the highest point on the curve and that's your answer, with the Y axis being the # apples produced/max revenue and the X axis being the trees per acre/units manufactured.

[jusabarasida]

you FAIL.. this is the wrong site for that.. please next time be resourceful.. go here ...

link

[Honest-Matt]

People are allowed to ask these questions, as long as it's categorized properly.