The profit function for a business is given by the equation P(x)= -4 x square +16x-7, where x is the number of items sold , in thousands, and P(x) is dollars in thousands. Calculate the maximum profit and how many items must be sold to achieve it.

Question

The profit function for a business is given by the equation P(x)= -4 x square +16x-7, where x is the number of items sold , in thousands, and P(x) is dollars in thousands.  Calculate the maximum profit and how many items must be sold to achieve it.

anonymous · Answer

have you learned derivatives yet?

mtalhahassan2 · Answer

what is that?

mtalhahassan2 · Answer

What it mean?

anonymous · Answer

oh nvm. it's an easier way of finding the max. point.

so do you know how to find the vertex of a quadratic equation? 
because this problem is asking for the max. point.

mtalhahassan2 · Answer

Yes I know how to find a vertex

anonymous · Answer

okay thats great. so that is basically what they are asking for.
try finding the vertex and i'll do the same thing, then we can compare what i got from yours. sounds good? do you need help calculating it?

mtalhahassan2 · Answer

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