Market equilibrium price.

Supply and demand equilibrium is where supply curve meets demand curve - the price and quantity where market clears. Using linear models: demand = a + b×price (downward sloping, b negative), supply = c + d×price (upward sloping, d positive). Equilibrium price = (a - c) ÷ (d - b). Classic microeconomics made calculable.

Demand: Q = 1000 - 5P (1000 intercept, -5 slope). Supply: Q = 200 + 3P (200 intercept, +3 slope). Equilibrium: P = (1000 - 200) ÷ (3 - (-5)) = 800 ÷ 8 = 100. Quantity: 1000 - 5(100) = 500 units. At 100, 500 units demanded = 500 supplied. Market clears.

Real-world application: pricing new products. If you can estimate demand response to price (from surveys or historical data) and supply costs at different volumes, equilibrium analysis identifies the price point that maximizes throughput. Monopolists price above equilibrium (restricting supply for higher margins); competitive markets trend toward it.

A worked example

Try the defaults: demand intercept of 1,000, demand slope of -5, supply intercept of 200, supply slope of 3. The tool returns 100.00. You can adjust any input and the result updates as you type — no submit button, no reload. That's the real power here: seeing how sensitive the output is to one or two assumptions.

What moves the number most

The result responds to Demand Intercept, Demand Slope, Supply Intercept, and Supply Slope. Not every input has equal weight. Flip one at a time toward extreme values to feel which ones move the needle most for your situation.

The formula behind this

Set demand = supply: a + bP = c + dP. Solve for P = (a - c) ÷ (d - b). Q = a + bP. Everything the calculator does is shown in the formula box below, so you can check the math against your own spreadsheet if you want.

What the score tells you

Headline financial numbers — income, savings, debt — each tell part of the story. This calculation stitches several together into a single read you can track over time. The value is in the direction, not the absolute number.

What this doesn't capture

The score is a composite of the inputs you provide. Life context — job security, family obligations, health, housing — doesn't appear in the math but shapes the real picture. Use the number as a prompt, not a verdict.