Contribution per unit shows what each sale adds toward fixed costs and profit. For Product X, contribution = 20 − 8 = 12perunit;forProductY,contribution=20−14=6 per unit. On a per-unit basis X is twice as profitable, which would suggest promoting X. However, the decision depends on TOTAL contribution, not contribution per unit alone, because Y is expected to sell twice the volume. If X sells, say, 10,000 units, its total contribution is 12 × 10,000 = 120,000;ifYthensells20,000units,itstotalcontributionis6×20,000=120,000 — identical. So at this volume ratio the two products contribute the same in total, and the higher per-unit figure of X is exactly offset by the higher volume of Y.
This means the firm must look beyond the numbers to make the call. Factors in X's favour: it earns more from each sale, so it is less exposed if total demand disappoints, and it may need less production capacity and lower variable-cost financing to generate a given contribution. Factors in Y's favour: high volume builds market presence, can create economies of scale that later cut its variable cost, and may attract customers to other products. There is also uncertainty in the 'twice the volume' assumption — if Y's higher volume fails to materialise, its low $6 contribution makes it far riskier, whereas X delivers strong contribution even at modest volumes.
On balance, if the volume forecasts are reliable the two are financially equivalent, so the firm should prioritise X for its lower risk — its higher contribution per unit means it does not depend on selling large quantities to be worthwhile, and it is more resilient if demand is weaker than expected. Y would only be the better choice if the firm is confident of the high volume and values the strategic benefits of market share and future scale economies. The judgement is therefore conditional on the reliability of the volume forecast and the firm's appetite for risk, but the safer, recommended priority is Product X.