A company manufactures a units of one item and y units of another. The total cost in dollars, C, of producing these two items is approximated by the function C = 3x² + 2xy + 2y² + 800. (a) If the production quota for the total number of items (both types combined) is 42, find the minimum production cost. cost = (b) Estimate the additional production cost or savings if the production quota is raised to 43 or lowered to 41.

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