Answer:
208.333
Step-by-step explanation:
A quadratic model for a certain stock on Wall Street is given by :
[tex]P=-3d^2+50d[/tex] ...(1)
(a) We need to find the maximum price per share of the stock. For maximum value, put :
[tex]\dfrac{dP}{dd}=0[/tex]
[tex]\dfrac{d(-3d^2+50d)}{dd}=0\\\\-6d+50=0\\\\d=\dfrac{50}{6}\\\\d=8.34[/tex]
price per share of the stock is maximum when the value of d = 8.34. Put the value of d in equation (1).
[tex]P=-3(8.34)^2+50(8.34)\\\\P=208.333[/tex]
So, the maximum price per share of the stock is 208.333.
