Alahmeds Study · Midterm 10: Taxes & population

10

Alahmeds · Study

Midterm 10 · Taxes & population

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Generated study aid, November 11, 2026. Based on the professor's Topic 2 slides (SRC-012), worked labor-market image (SRC-131), and supplemental labor-market notes (SRC-083). Extra graph-reading steps support this one Midterm 10 lesson. Numerical examples and linear graph equations are generated illustrations, not the professor's estimates.

Model: With w = W/P, labor demand is w = 18 − 0.2N. Baseline labor supply is N = 5(w − 2). Tax scenarios use N = 5(qw − 2) + I, with q = (1 − tₙ)/(1 + t꜀). Here P is the goods price before consumption tax, tₙ is the labor-income tax rate, t꜀ is the consumption tax rate, and I is an illustrative income-effect shift in hours. I is zero in the temporary scenario. The combined tax expression is supplemental accounting. The tax is on the reward from an extra hour; example rates are flat for clarity.

Assumptions: Productivity A, capital K and other stated shifters are fixed. Temporary tax changes have negligible effects on lifetime resources in the course model. No offsetting transfers or extra government-spending effects are included. For the permanent-tax decomposition, effects are separated for explanation; they are not two successive real-world events. Equal offset is an assumed case, not a rule. Population and leisure scenarios reset taxes and isolate their own shifter.

From individuals to the market: Aggregate labor supply adds each person’s offered hours at a given wage. The small-group bridge uses unequal hours to introduce the sum, then equal hours to demonstrate the people-times-hours shortcut. If hours differ, headcount times average hours is also an exact way to express the total. These examples do not replace the separate numerical curve model.
Population: Population changes multiply baseline hours supplied at each wage; the illustrative population decline is 25%. The output directions use the course's Cobb–Douglas production function with A and K held fixed (SRC-012 slides 4 and 8). Output per hour is not output per person.

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