SOLUTION: How many award designs must be sold in order to maximize the profit using the following P(x)=-0.4x^2+80x-1600. The teacher is asking me to also show my work algebratically.

SOLUTION: How many award designs must be sold in order to maximize the profit using the following P(x)=-0.4x^2+80x-1600. The teacher is asking me to also show my work algebratically.

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Question 800892: How many award designs must be sold in order to maximize the profit using the following P(x)=-0.4x^2+80x-1600. The teacher is asking me to also show my work algebratically.
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!

The vertex occurs at . At this value for , the function value is attained.

=> coordinate of the vertex

=> coordinate of the vertex and represents maximum of the profit
so, vertex is at (,)

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