2-Dec-15 Optimization problems More resources available from: free-online-calculator.netfree-online-calculator.net.

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2-Dec-15 Optimization problems More resources available from: free-online-calculator.netfree-online-calculator.net

A manufacturer wants to make a cylindrical can to hold 200cm 3 of pea and ham soup. Find the dimensions such that the surface area is as small as possible. Surface area = 2πr 2 + 2πrh Need to eliminate one variable V = 200 So 200 = πr 2 x h Substitute into S.A. formula Surface area (A)= More resources available from: free-online-calculator.netfree-online-calculator.net

At stationary points = 3.17 Where r = 3.17= 6.34 cm Minimum Surface Area = 189cm 2 More resources available from: free-online-calculator.netfree-online-calculator.net

Check it is a minimum When r = 3.17 Therefore it is a minimum More resources available from: free-online-calculator.netfree-online-calculator.net