Please explain Suppose that Pt gives the price of a share of

Please explain!

Suppose that P(t) gives the price of a share of Agro systems Inc. stock over a period of several days. The graph to the right gives P\'(t), the rate of change of stock price. Given this, determine the points in time where the stock achieved a (relative) maximum or (relative) minimum price. Identify each time as to whether a maximum or minimum price occurs. 2. Some people in the state legislature believe that the function R(x) =(100-x) root x describes the amount of revenue the state takes in from income taxes if x represents the percentage of income taken for taxes. Assuming this is correct, what income tax rate would result in maximum revenue to the state? Use calculus to draw your conclusion.

Solution

1.

The slope is decreases the price is also decrease is a concave downwards or slope is increases the price is also increase is a concave upwards

the points in time where the stock achieve a relative maximum is 11 or relative minimum price 5.

maximum price	time
4.5	3
5	11
-1	6.5