Answer:
The maximum price per share is $250 and it happens after 10 days of trading.
Step-by-step explanation:
The performance of a stock is modeled by the function:
[tex]P(d)=-2.5d^2+50d[/tex]
Where d is the number of days of trading and P is the price per share.
To find the maximum price, we use the first derivative:
[tex]P'(d)=-5d+50[/tex]
Equating to zero:
-5d+50=0
Solving for d:
-5d = -50
d = -50/(-5) = 10
d = 10
The price for d=10 is:
[tex]P(10)=-2.5*10^2+50*10[/tex]
[tex]P(10)=-2.5*100+500= 250[/tex]
The maximum price per share is $250 and it happens after 10 days of trading.
