Given:
A graph of bell peper patch is given as below
Find:
we have to find the Maximum possible area of bell peper patch represented by the function p corresponding to the length of the tomato patch x.
Explanation:
From the given graph of function p(x), it is observed that the function has maximum value at x = 6.
Therefore, when x = 6, we get
[tex]\begin{gathered} p(6)=-0.5(6)^2+6(6) \\ p(6)=-0.5\times36+36 \\ p(6)=-18+36 \\ p(6)=18 \end{gathered}[/tex]
as the function p represents the area of the bell peper patch,
Therefore, Maximum possible area of the bell peper patch is p = 18 square feet, when the length of the zomato patch is x = 6 feet.
