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Determine where the given function is concave up and where it is concave down. ​f(x)= 2x^3-6x^2-90x...

Determine where the given function is concave up and where it is concave down.

​f(x)= 2x^3-6x^2-90x

Find the maximum profit and the number of units that must be produced and sold in order to yield the maximum profit. Assume that​ revenue, R(x), and​ cost, C(x), of producing x units are in dollars

R(x)=50x-0.1^2, C(x)=4x+10

Find the number of units that must be produced and sold in order to yield the maximum​ profit, given the equations below for revenue and cost.

R(x)=50x-0.5x^2

C(x)=6x+4

Find the absolute maximum and minimum values of the function over the indicated​ interval, and indicate the​ x-values at which they occur.

f(x)=x^2-6x-2 ; [1,7]

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