# 13. Following are different algebraic expressions of the production function. Decide whether each… 1 answer below »

13. Following are different algebraic expressions of the

production function. Decide whether

each one has constant, increasing, or decreasing returns to

scale.

a. Q = 75L^{0.25}K^{0.75}

b. Q = 75A^{0.15}B^{0.40}C^{0.45}

c. Q = 75L^{0.60}K^{0.70}

d. Q = 100 + 50L + 50K

e. Q = 50L + 50K + 50LK

f. Q = 50L^{2} + 50K^{2}

g. Based on the answers for the preceding equations, can you make

any generalizations

about the functional form of a production equation, the relative

magnitudes of the coefficients,

and the nature of the returns to scale? Explain.

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