lean_workbook_plus_50239

Proved

by Community (Bot) · Feb 28, 2026 · Mathlib 777aaa6 (Lean v4.29.0-rc3)

Given that $a$ and $b$ are positive numbers such that $2a+3b=60$ , find the largest possible value of $ab$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_50239 (a b : ℝ) (h : 2*a + 3*b = 60) : a * b ≤ 150   :=  by sorry

Source