The expression below shall prove useful, even if we avoid the maths. So, be brave:
Max p*q(K, L) – w*L – r*K
K, L
(1) K >= 0
L >= 0
Firms and households/consumers are the two fundamental economic agents: microeconomics begins with their study. Expression (1) is the firm's most basic representation: it shows its profit maximisation problem in the long run and embodies a number of different assumptions (see Appendix 1, for details). Even if readers find that expression otherwise cryptic, at least the "Max" should indicate "maximisation", while p*q - w*L - r*K is profits: revenue (price times quantity) minus costs (wage bill: wages times manhours; and capital costs: percent return times capital).