An "objective function" quantifying the performance to weight ratio for an aircraft design can be expressed as Jm = M102 vim) where p[:c) and q[:c) are both polynomials, and a: is an adjustable parameter in the aircraft design. In such problems, it will always be the case that q[:c) > 0 for all values of cc, and that J (at) J~ O as |:c| ) 00. Thus, we know that J (:c) achieves a maximal value for some x. The question is, what is the maximizing value of x, and what is the resulting maximal value of J. Assuming that 33(3) and q{ cc) are represented in the workspace by (horizontal) coefcient arrays p and {1 respectively, write a Matlab script called maxperf .m which will compute and display the (nite, real) value of a: for which J (cc) is maximized, and the corresPonding maximal value of J achieved at this value of cc. As an example, if p[a:) = 2s: + 5 and 3(a) = 1:4 + 1:2 + 2.7: + 2 then J(a:) has a maximal value of about 12.9 at a: = U.27. Note that different Mar) and q{:c) will be used to test your script, and the polynomials will generally not have the same orders