The Setting, Not the Score

A small workshop makes desks. Market research gives the price it can charge per desk when it produces $x$ desks a day, and the accounts department gives the daily cost of producing them:

Daily profit is revenue minus cost, where revenue is price multiplied by the number sold:

$P(x) = x \cdot p(x) - C(x)$

Every optimization problem has three parts. Here the variable you may change is $x$, the objective function is $P$, and the direction is up — the workshop wants profit as large as possible.

At how many desks a day should the workshop set its production?

The answer is a whole number of desks, so no rounding is needed. Report the production level itself — the setting — and not the profit that setting earns.