The profit function P(x) of a company selling x items per day is given by `P(x) = (150-x)x - 1000`. Find the number of items that the company should manufacture to get maximum profit. Also find the maximum profit.

The profit function p(x) of a company, selling x items per day is given by p(x)=(150-x)x-1600. Find the number of items that the company should sell to get maximum profit. Also find the maximum profit.

The profit function P (x) of a company selling x items is given by P(x) = -x^(3) + 9x^(2) - 15x - 13 where x represents units in thousands. Find the absolute maximum profit if the company can manufacture a maximum of 6000 units.

The probability function of a random variable X is given by p(x)=(1)/(3) , if x = -1, 0, 1 =0, otherwise. Find the distribution function of X.

If p(x) = 2x^5-6x^4+3x-8 , find degree of p(x)

For what values of x, the expression 2x - 7 - 5x ^(2) is maximum and also find the maximum value.