MGE 302 Lecture Notes - Lecture 9: Isocost, Isoquant, Marginal Cost
Document Summary
Essential concepts: in long-run analysis of production, all inputs are variable and isoquants are used to study production decisions. The marginal rate of technical substitution (mrts) is the slope of an isoquant and measures the rate at which the two inputs can be substituted for one another while maintaining a constant level of output. The equation of an isocost curve is given by. The slope of an isocost curve is the negative of the input price ratio ( w r. Since the optimal input combination occurs at the point of tangency between the isoquant and an isocost curve, the two slopes are equal in equilibrium. Mathematically, the equilibrium condition may be expressed as. The expansion path is derived for a specific set of input prices. Along an expansion path, the input-price ratio is constant and equal to the marginal rate of technical substitution: long-run total cost (ltc) for a given level of output q is given by.