📖 From Calculus • 5. The derivative in graphing and applications • 25 questions available
Practice MCQs for Applied Maximum And Minimum Problems. Test your knowledge with carefully crafted questions across easy, medium, and hard difficulty levels.
🔄 Last updated: 2026-07-15
Q1. A rectangular garden is to be fenced on three sides, with the fourth side along an existing wall. If 120 m of fencing is available, what dimensions maximize the enclosed area?
💡 Difficulty: easy | ✅ Correct: B
Q2. A company’s profit function is given by \(P(x)= -2x^{2}+80x-500\), where \(x\) is the number of units sold (in hundreds). What number of units maximizes profit?
💡 Difficulty: medium | ✅ Correct: C
Q3. A cylindrical can must hold 500 cm³ of liquid. To minimize the material used, which ratio of height \(h\) to radius \(r\) should be chosen?
💡 Difficulty: hard | ✅ Correct: A
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