Question: When x thousand dollars are spent on labor and y thousand on equipment, the output of a certain factory is Q units, where Suppose $120,000

When x thousand dollars are spent on labor and y thousand on equipment, the output of a certain factory is Q units, where

Suppose $120,000 is available for labor and equipment.

a. How should the money be allocated between labor and equipment to generate the largest possible output?

b. Use the Lagrange multiplier λ to estimate the change in the maximum output of the factory that will result if the money available for labor and equipment is increased to $121,000.

Q(x, y) = 60x/3,2/3

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