A company produces two types of solar panel, A and B that sell for $3 million and $4 million per thousand units, respectively. The cost of producing X thousands of type A and Y thousands of type B is X2 - 4XY+5Y2+9X-18Y-9 Find the values of X and Y that maximizes this company profits. Set up the second order conditions and Hessian matrix to prove that the profit is maximized at these values of X and Y and provide its economic interpretation