Question 1129343


{{{R(x) = 312x -0.2x^2}}}

it’s parabola, and max is at vertex; write it in vertex form

{{{R(x) =  -0.2x^2+312x}}}...eliminate decimal, multiply by {{{10}}}

{{{R(x) =  -2x^2+3120x}}}

{{{R(x) =  -2(x^2-1560x)}}}

{{{R(x) =  -2(x^0.2-1560x+b^2)-2(-1560^2)}}}-> {{{2ab=1560}}},{{{a=1}}}=>{{{b=1560/2=780}}}

{{{R(x) =  -2(x^2-1560x+780^2)-2(-780^2)}}}

{{{R(x) =  -2(x-780)^2+1216800}}}

vertex is at
({{{780}}}, {{{121680}}})

{{{x =780}}}     units
Determine the maximum revenue.{{{121680}}}$