A company manufacturing cars at plant A in Detroit and plant B in St. Louis has found that its total cost function is C = x^2 + 2y^2 + 2xy + 40x + 20y + 40 when x cars are produced at plant A and y at plant B. What production level at plant A should the company set to minimize the costs of production when filling an order for 40 cars?
A company manufacturing cars at plant A in Detroit and plant B in
St. Louis has found that its total cost function is
C = x^2 + 2y^2 + 2xy + 40x + 20y + 40
when x cars are produced at plant A and y at plant B. What production level at plant A should the company set to minimize the costs of production when filling an order for 40 cars?
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