A company manufactures x units of one item and y units of another. The total cost C in dollars of producing these two items is approximated by the function C=3x^2+2xy+2y^2+600.
(a) If the production quota for the total number of items (both types combined) is 36, find the minimum production cost.
cost
(b) Estimate the additional production cost if the production quota is raised to 37. Hint: The answer here is simply the value of Lamda that comes from your system in part (a). This is an example of a problem where the value of the Lagrange multiplier is relevant.
additional production cost =