## Problem 055 — rank:127

**Title:** Cellular resource allocation

**Added binding assumptions (LaTeX):**

```latex
Fix uptake signs, biomass composition and maintenance demands so the feasible set is nonempty and growth is bounded. Predict an optimal allocation set when the maximizer is nonunique, or specify an independently justified allocation-selection rule. Linear-program solution is not the open claim: the unresolved test is whether the constrained growth objective and independently measured capacities predict biological allocations under new conditions.
```

**Direct edits:** 0. **Fresh external checks:** None; supplied sources retained as provenance.