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Suppose a producer is using two products say,     X and Y

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Suppose a producer is using two products say,     X and Y. The cost function of the producer is given as f(X, Y) = 4X2 + 3XY + 6Y2. The firm must meet a combined order of 56 units of the two goods. Based on the given information:
A. Construct the Lagrangian function.
B. Determine optimum combination of X and Y which minimize cost using
Lagrangian method.
C. ComputeandinterpretLagrangianmultiplier(λ).
D. What is the minimum cost of producing the combined order?