Microeconomics
Per-Unit Tax Equilibrium Calculator
Solve post-tax consumer price, producer price, quantity, tax revenue and deadweight loss for linear supply and demand.
Inputs and results stay in this browser. Currency symbols are illustrative; use any consistent currency.
Understand Per-unit tax equilibrium
One idea, three depths
Choose how deeply to explain Per-unit tax equilibrium
Per-unit tax equilibrium: Solve post-tax consumer price, producer price, quantity, tax revenue and deadweight loss for linear supply and demand.
Age 5Explain it to a 5-year-oldStart with a picture
Imagine using Per-unit tax equilibrium to answer this question: solve post-tax consumer price, producer price, quantity, tax revenue and deadweight loss for linear supply and demand? Enter Demand intercept (a), Demand slope (b), Supply intercept (c), and 2 other inputs; the calculator shows Price paid by consumers. For example: For Qd = 1,000 − 20P, Qs = 100 + 10P and a $9 tax, consumers pay $33, producers receive $24 and quantity falls to 340. The answer tells you Price paid by consumers.
Age 15Explain it to a 15-year-oldConnect it to the formula
The statutory side that sends the tax payment does not determine economic incidence. The new equilibrium and burden depend on the relative slopes of supply and demand. The rule is Pc − Pp = tax; a − bPc = c + dPp. Its input values are Demand intercept (a), Demand slope (b), Supply intercept (c), Supply slope (d), Tax per unit, and the main result is Price paid by consumers. For example: For Qd = 1,000 − 20P, Qs = 100 + 10P and a $9 tax, consumers pay $33, producers receive $24 and quantity falls to 340.
CollegeExplain it at college levelState the model precisely
This calculator evaluates a microeconomics relationship while holding unmodelled conditions constant. The implemented relation is Pc − Pp = tax; a − bPc = c + dPp, evaluated from Demand intercept (a), Demand slope (b), Supply intercept (c), Supply slope (d), Tax per unit to produce Price paid by consumers. The statutory side that sends the tax payment does not determine economic incidence. The new equilibrium and burden depend on the relative slopes of supply and demand. The result depends on comparable definitions, units, populations and time periods. It estimates a relationship; it does not establish causation or replace current primary data.
The economic question
Solve post-tax consumer price, producer price, quantity, tax revenue and deadweight loss for linear supply and demand.
Why this relationship is useful
The statutory side that sends the tax payment does not determine economic incidence. The new equilibrium and burden depend on the relative slopes of supply and demand.
Inputs that must be comparable
- Demand intercept (a).
- Demand slope (b) (minimum 0).
- Supply intercept (c).
- Supply slope (d) (minimum 0).
- Tax per unit (minimum 0).
Use one market, firm, population and time period throughout; mixing definitions can make a correctly calculated number economically meaningless.
The model
Pc − Pp = tax; a − bPc = c + dPp
From inputs to output
The calculator combines Demand intercept (a), Demand slope (b), Supply intercept (c), Supply slope (d), Tax per unit and reportsPrice paid by consumers together with Price received by producers, Quantity after tax, Tax revenue, Deadweight loss. Change one assumption at a time to identify what actually drives the estimate.
How to read Price paid by consumers
Read the sign, magnitude, unit and period together. The result quantifies the relationship in “solve post-tax consumer price, producer price, quantity, tax revenue and deadweight loss for linear supply and demand”; it does not by itself prove that one input caused another.
A worked economic example
For Qd = 1,000 − 20P, Qs = 100 + 10P and a $9 tax, consumers pay $33, producers receive $24 and quantity falls to 340.
Where interpretation can fail
Do not use the result when the input definitions, units or formula assumptions do not match the real situation. This is an educational model, not financial, investment, tax or policy advice; verify material decisions against primary data and professional guidance.
Supporting sourcesAcademic referencesPrimary standards, textbooks and complete citations
Standards, reading and academic references
Use the calculator as the worked interaction, then consult the primary standards and academic textbooks listed below. MW SysArc links to the original sources; the explanation on this page is original and does not reproduce them.
Principles of Economics 3e
Read the free OpenStax economics textbookCite this book
- APA 7
- Greenlaw, S. A., Shapiro, D., & MacDonald, D. (2022). Principles of economics 3e. OpenStax. https://openstax.org/books/principles-economics-3e/pages/1-introduction
- MLA 9
- Greenlaw, Steven A., et al. Principles of Economics 3e. OpenStax, 2022, https://openstax.org/books/principles-economics-3e/pages/1-introduction.
- Chicago author-date
- Greenlaw, Steven A., David Shapiro, and Daniel MacDonald. 2022. Principles of Economics 3e. Houston, TX: OpenStax. https://openstax.org/books/principles-economics-3e/pages/1-introduction.
OpenStax entries are free to read online. Follow the licence shown on each linked source before redistributing or adapting its content.
Reuse the page responsiblyCite this pageAPA, MLA, Chicago, Harvard, BibTeX and RIS
These formats cite this calculator page itself. They are separate from the academic references above, which support the mathematical method and terminology.
APA 7
MW SysArc. (2026, July 21). Per-Unit Tax Equilibrium Calculator. MW SysArc Tools. https://economics.mwsysarc.com/micro/per-unit-tax-equilibrium
MLA 9
MW SysArc. “Per-Unit Tax Equilibrium Calculator.” MW SysArc Tools, 21 July 2026, https://economics.mwsysarc.com/micro/per-unit-tax-equilibrium. Accessed 31 Aug. 2026.
Chicago 17
MW SysArc. “Per-Unit Tax Equilibrium Calculator.” MW SysArc Tools. Published July 21, 2026. Accessed August 31, 2026. https://economics.mwsysarc.com/micro/per-unit-tax-equilibrium.
Harvard
MW SysArc (2026) ‘Per-Unit Tax Equilibrium Calculator’, MW SysArc Tools. Published 21 July 2026. Available at: https://economics.mwsysarc.com/micro/per-unit-tax-equilibrium (Accessed: 31 August 2026).
BibTeX and RIS records
BibTeX
@misc{mwsysarc_per_unit_tax_equilibrium_2026,
author = {{MW SysArc}},
title = {Per-Unit Tax Equilibrium Calculator},
howpublished = {MW SysArc Tools},
year = {2026},
url = {https://economics.mwsysarc.com/micro/per-unit-tax-equilibrium},
note = {Published July 21, 2026; accessed August 31, 2026}
}RIS
TY - ELEC
AU - MW SysArc
TI - Per-Unit Tax Equilibrium Calculator
T2 - MW SysArc Tools
PY - 2026
DA - 2026-07-21
Y2 - 2026-08-31
UR - https://economics.mwsysarc.com/micro/per-unit-tax-equilibrium
N1 - Published July 21, 2026
ER -Clear answers
Frequently asked questions
What does the Per-unit tax equilibrium do?
Solve post-tax consumer price, producer price, quantity, tax revenue and deadweight loss for linear supply and demand.
How does the Per-unit tax equilibrium work?
The calculator applies this formula: Pc − Pp = tax; a − bPc = c + dPp. The statutory side that sends the tax payment does not determine economic incidence. The new equilibrium and burden depend on the relative slopes of supply and demand.
What can I learn from the Per-unit tax equilibrium?
It helps you explore the relationship described by this tool: Solve post-tax consumer price, producer price, quantity, tax revenue and deadweight loss for linear supply and demand. Change one input at a time to observe how it affects the result.
Does MW SysArc receive or store what I enter?
No. The calculation runs locally in your browser. MW SysArc does not receive or store your calculation inputs.
How should I use the result?
Use the result as an estimate or educational aid. Check important financial, business or policy decisions with qualified sources and current data.
Last reviewed . Calculations tested .