The profit $($P$)$of a company is dependent on the amount of materials $($x$)$ produced, which can be expressed as:P$=$x$^3-5$x$^2-15$x$+20$ where P is measured in $$.$ Note that can be a non x integer. As a check, P$=550$ whenx $=10.$ DO IN MATLAB$)$ a$)$ Use the Newton$-$Raphson method to determine the value of that results in a profit of $$300.$ Use an initial guess of $=6$ and a precision of $105.$ Provide your answer for the required value to $4$ decimal places as printed by MATLAB.

b$)$ Use the secant method to determine the minimum profit. Use initial guesses of $=9$ and $1=10$ with a precision of $1.$ Provide your answer for the root to $4$ decimal places as printed by MATLAB.