Marginal payoff ($) $20 $15 0 2 4 6 8 10 0 2 4 6 8 10 Machine A — tokens → ← tokens — Machine B Marginal Payoff of A Marginal Payoff of B Lowest token used Optimum: 4 in A, 6 in B 4 $14 6 $12.50 4 tokens in A (last worth $14), 6 in B (last worth $12.50). Total $150.50. Moving any token gives up $12.50 or more to gain $12 — this is the best split.