Question 1098325
{{{ C(x) = .5x^2 - .9x + 1.861 }}}
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The formula for the x-value of the
minimum,is:
{{{ x[min] = -b/(2a) }}} where
{{{ a = .5 }}}
{{{ b = -.9 }}}
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{{{ x[min] = (-(-.9)) / ( 2*.5 ) }}}
{{{ x[min] = .9/1 }}}
{{{ x[min] = .9 }}}
{{{ .9*100 = 90 }}}
The shop should build 90 bikes to minimize cost
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check:
Here's the plot:
{{{ graph( 400, 400, -2, 7, -3, 15, .5x^2 - .9x + 1.861 ) }}}
Looks about right, {{{ x[min] = .9 }}}