Determine where the given function is concave up and where it isconcave down.
​f(x)= 2x^3-6x^2-90x
Find the maximum profit and the number of units that must beproduced and sold in order to yield the maximum profit. Assumethat​ revenue, R(x), and​ cost, C(x), of producing x units are indollars
R(x)=50x-0.1^2, C(x)=4x+10
Find the number of units that must be produced and sold in orderto yield the maximum​ profit, given the equations below for revenueand cost.
R(x)=50x-0.5x^2
C(x)=6x+4
Find the absolute maximum and minimum values of the functionover the indicated​ interval, and indicate the​ x-values at whichthey occur.
f(x)=x^2-6x-2 ; [1,7]
