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Suppose that the manager of a firm is planning to meet an order of 100 units of two products X and Y . The manager problem is to find the combination of two goods that minimize its cost . He has the firm's cost function of the two goods as C = 5X2 +20Y2
a. By using langrangian method, find the quantity of Y and quantity of X subject to the constraint that X +Y =1000 that minimize the cost of meeting the order.
b. Supposing that the constraint increases by 1 ie X+Y =1001 ,by how much does the cost increase
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