A company's daily profit. P(x) is given by P(x) = -2x²+ (200 – 4*N)X + 2*N² - 200*N + 5500, where x is the number of articles produced per day. (ATTN: in this problem and the problems below, check at least twice all calculated in accord with the PEMDAS rule!) numeric coefficients and constants that depend on N before you'll proceed with a solution!) Use the calculus technology to find the value Xₒₐₜ SO that the daily profit is a maximum. To verify your result, use the corresponding non- calculus technology (the point Xop is x-coordinate of the vertex of parabola representing the function P(x). See the precalculus file 24_Handout_9_QUADRATIC FUNCTIONS.doc. Round off the value Xor to nearest integer). Evaluate the maximum value P(X.pl) of the function P(x