Video: Calculator Tips Part 2 (Profit Function and ...
Video: Calculator Tips Part 2 (Profit Function and Differentiation)Question 2Given the profit function ΠQ=-2Q2+7Q+3, answer the following:Find the break even points.Find the maximum profit.Solution(i)ΠQ=-2Q2+7Q+3=02081530306705x=-b±b2-4ac2a=-7±72-4-232-200x=-b±b2-4ac2a=-7±72-4-232-2a=-2 b=+7 c=+350482502387608.54008.5441433751631950025177751562100042475152540+00+2585720-3810–00–4402455195580 x=3.89 x=-0.39495300477520Ans: The break even point is Q=3.8900Ans: The break even point is Q=3.89(ii) Π'Q=-4Q+7=0Q=-7-4=1.75447675873760Ans: Max profit is 9.12500Ans: Max profit is 9.125Π''Q=-4Π''1.75=-4<0 => max@ 1.75max IS Π1.75=9.125Question 3Find the derivative of:fx=5x32-7xSolution2295525528320fx=5x32-7x-12f'x=152x12+72x-32 ................
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