1. Supply & demand — market equilibrium
Drag the curves or move the sliders to shift supply and demand. Equilibrium sits where the lines cross: $Q_d = a - bP$ and $Q_s = c + dP$. Above the price clears a surplus; below it, a shortage.
2. Price elasticity of demand
Slide the price along a linear demand curve. Elasticity $E_d = \dfrac{\%\Delta Q}{\%\Delta P}$ varies along the line: elastic up top, inelastic down low. Revenue $R = P\cdot Q$ is maximised where $|E_d| = 1$.
3. Break-even analysis
Total cost $TC = F + vQ$ against revenue $R = pQ$. The break-even quantity is $Q^* = \dfrac{F}{p - v}$. Shaded green = profit, red = loss.
4. Cost curves & profit-maximising output
With cost $TC = F + vQ + kQ^2$, average cost $AC$ is U-shaped and marginal cost $MC = v + 2kQ$ rises. A firm maximises profit where $MC = MR$ (here $MR = p$).
5. Product life cycle & adoption S-curve
Cumulative adoption follows a logistic curve $N(t) = \dfrac{M}{1 + e^{-r(t - t_0)}}$; new adopters per period (its derivative) trace the introduction → growth → maturity → decline phases.
6. BCG growth-share matrix
Each bubble is a business unit, placed by market growth (vertical) and relative market share (horizontal). Drag a bubble across the quadrants: Stars, Cash Cows, Question Marks, Dogs.
Drag the circles. Vertical line = relative share 1.0; horizontal = 10% growth.
7. Weighted decision matrix
Rational decision-making: score options against weighted criteria. Each option's total is $\sum_i w_i\, s_i$. Adjust criterion weights and watch the winner change.
Click a cell in the canvas to bump that option's score on a criterion.
8. Porter's five forces
Rate each force from low to high. The mean pressure drives industry attractiveness: low total force = attractive (high potential profit), high total force = fierce competition.
9. Organizational structure & span of control
A balanced hierarchy of $N$ employees. With span of control $s$, the number of layers is about $\log_s N$. Wider spans flatten the org; narrower spans deepen it.
10. SaaS growth & compounding (MRR)
Monthly recurring revenue compounds with new signups but leaks to churn: $MRR_{t+1} = MRR_t(1 - c) + \text{new}$. Net retention > 100% means revenue grows even with zero new sales.