Question 1205964


{{{R(x) = 65x - x^2/8}}}

derivate

{{{R}}}'{{{(x) = 65 - 2x/8}}}

{{{R}}}'{{{(x) = 65 - x/4}}}


find the value of {{{x}}} that makes first derivative equal to zero


{{{0=65-x/4}}}

{{{x/4=65}}}

{{{x=65*4}}}

{{{x=260}}}


max{ {{{65x - x^2/8}}} } = {{{8450}}} at {{{x = 260}}}

the number of pillows that will produce maximum revenue is  {{{260}}}