ECON 301 Lecture Notes - Lecture 11: Production Function, Substitute Good, Isoquant
Document Summary
Firm minimize cost of product given the objective function subject to technological constraints. Technology is the process of the firm converting inputs into output. Cost to production is necessary efficient allocation of resources. Production function the technology that firms takes inputs or what we all factors of production and turns them into output. F(x1,x2,x . ) shows the maximum output which can be produced from the input combination ( x1,x2, ,xn) The possibility that the firm is output inefficient with : Fixed inputs: (x1 => plant and machinery land ) Short run: is a period in which some inputs are fixed. Long run: is a period in which all inputs are variable. Mp1 = dy/dx1 = 1/3 * x1^-2/3 * x2^2/3. Mp2= dy/dx2 = 2/3 * x1^1/3 * x2^-1/3. The mp is diminishing if it becomes smaller as the level of i increase. That is dmpi/dxi = dy/dxi ( dy/dxi) = d^2y / dx1^2 < 0.