Question

- A quadratic model for a certain stock on Wall Street is P=-3d2 + 50d, where d

represents the days of trading and P is the price per share.
a. What is the maximum price per share of the stock?
Help please I’m stuck

Answer 1

208.333

Explanation:

A quadratic model for a certain stock on Wall Street is given by :

`P=-3d^2+50d` ...(1)

(a) We need to find the maximum price per share of the stock. For maximum value, put :

`(dP)/(dd)=0`

`(d(-3d^2+50d))/(dd)=0\\\\-6d+50=0\\\\d=(50)/(6)\\\\d=8.34`

price per share of the stock is maximum when the value of d = 8.34. Put the value of d in equation (1).

`P=-3(8.34)^2+50(8.34)\\\\P=208.333`

So, the maximum price per share of the stock is 208.333.