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MRTS formula differential
dK/dL where K is on the y-axis and L is on the x-axis
What do we have when MRTS is constant
Perfect substitutes
When the production process is such that trade-offs are impossible and capital and labour must be used in fixed proportions
Perfect complements
MRTS formula marginal products
-MPL/MPK where K is on the y-axis and L is on the x-axis
Why is it efficient for a firm to produce at where MPL/MPK = w/r
because at that point:
The marginal output per pound spent on labour equals that of capital.
The firm has no cost-saving substitution left to do.
The isoquant is tangent to the isocost.
The production of Q is achieved at minimum cost.