Problema Solution

akis bike cycle designs has determined that when x hundre bicylces are built, the average cost per bicycle isgiven by C(x)= 0.5x^2-0.2x+4.364, hundreds of dollars. How many bicycles should the shop build to minimize the average cost per bicycle?

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akis bike cycle designs has determined that when x hundre bicylces are built, the average cost per bicycle isgiven by C(x)= 0.5x^2-0.2x+4.364, hundreds of dollars. How many bicycles should the shop build to minimize the average cost per bicycle?

Solution:

               C(x)= 0.5x^2-0.2x+4.364

               minimum is at the vertex:

                    x =-b/2a = -(-0.2)/[2*(0.5)] = 0.2 hundred

                                                             = 20 bicycles