https://gdpark.blog/tags/cost-minimization/Recent content in Cost Minimization on gdpark.blogHugoenSun, 08 Jan 2017 00:00:00 +0000https://gdpark.blog/posts/microeconomics-27-types-of-isoquants-linear-l-shaped-and-cobb-douglas/Mon, 18 Jul 2016 00:00:00 +0000https://gdpark.blog/posts/microeconomics-27-types-of-isoquants-linear-l-shaped-and-cobb-douglas/A chill rundown of linear, L-shaped, and Cobb-Douglas isoquants — and why their shapes directly tell you everything about σ, the elasticity of substitution.https://gdpark.blog/posts/microeconomics-31-cost-and-cost-minimization/Tue, 19 Jul 2016 00:00:00 +0000https://gdpark.blog/posts/microeconomics-31-cost-and-cost-minimization/We dig into the cost minimization problem — and spoiler, it’s basically the same deal as utility maximization, just swap the budget line for an isocost line.https://gdpark.blog/posts/microeconomics-32-expansion-path/Tue, 19 Jul 2016 00:00:00 +0000https://gdpark.blog/posts/microeconomics-32-expansion-path/Unlike demand theory, firms chasing a fixed output level have zero income effect — just pure substitution — and tracing those cost-minimizing combos as output rises draws out the expansion path.https://gdpark.blog/posts/microeconomics-33-labor-demand-curve/Wed, 20 Jul 2016 00:00:00 +0000https://gdpark.blog/posts/microeconomics-33-labor-demand-curve/We derive the labor demand curve by tracing how a firm’s optimal labor choice shifts each time the wage ticks up — first with graphs, then with a Cobb-Douglas proof.https://gdpark.blog/posts/microeconomics-34-short-run-analysis/Wed, 20 Jul 2016 00:00:00 +0000https://gdpark.blog/posts/microeconomics-34-short-run-analysis/In the short run capital is locked in at K̄, so cost minimization means working around that constraint — which shifts your expansion path and nudges total cost up.https://gdpark.blog/posts/microeconomics-35-cost-minimization-with-three-variables/Wed, 20 Jul 2016 00:00:00 +0000https://gdpark.blog/posts/microeconomics-35-cost-minimization-with-three-variables/Adding a third input M sounds fancy, but once you pin K as a fixed cost the whole 3D problem just collapses back into the same old 2D setup — same playbook, every time.https://gdpark.blog/posts/microeconomics-49-chapter-7-practice-problems/Sun, 08 Jan 2017 00:00:00 +0000https://gdpark.blog/posts/microeconomics-49-chapter-7-practice-problems/Working through Chapter 7 cost-minimization problems with gradients and isoquants — turns out it’s the exact same math as the utility-function stuff, just with different names.