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Production Function
summarizes the various ways that a firm can transform inputs into the maximum amount of output
shows maximum amount of output that can be produced from given levels of labor and capital
Q = f(L,K)
cardinal
Common Production Functions
Cobb-Douglas: Q = cL^aK^b
Perfect Substitutes: Q = aL + bK
Fixed Proportion: Q = min (aL,bK)
Quasi-linear: Q = aL + bf(K) OR Q = af(L) + bK
isoquant
graphically summarizes the efficient combinations of inputs (labor and capital) that will produce a specific level of output
properties of isoquants
the farther an isoquant is from the origin, the greater the level of output
isoquants do not cross
isoquants slope downward
what does the slope of the isoquant show
the ability of a firm to replace input with another
Marginal Rate of Technical Substitution (MRTS)
the absolute value of the slope of an isoquant at a single point
tells us how many units of K the firm can replace with a single unit of L, without changing q
MRTS formula
ΔK/ΔL = dK/dL = MPL/MPK