Given the preconditions for x and y as |x – y| ≤ 200, |2x + y - 150| ≤ 250, show the post-conditions for z = 3x 2 + y 2 + 3xy – 7x – 8y + 10. Please solve this problem mathematically and draw a 2D...

Given the preconditions for x and y as |x – y| ≤ 200, |2x + y - 150| ≤ 250, show the post-conditions for z = 3x² + y²
+ 3xy – 7x – 8y + 10. Please solve this problem mathematically and draw a 2D graph to show the covered domain for x and y. find the first and second derivative