The owner of a video store has determined that the cost C in

The owner of a video store has determined that the cost C, in dollars, of operating the store is approximately given by c(x)=2x^2-22+600, where x is the number of videos rented daily. Find the lowest cost to the nearest dollar.

Please check your problem and see the answer accordingly,
we have c(x)=2x^2-22x+600 or c(x)=2x^2-22+600

Taking c(x)=2x^2-22x+600
here coeffecient of x^2 is positive that means it wil be a upward parabola.
So, its vertex will be the minimum point.
x coordinate of the vertex is x=-b/2a=-(-22)/2(2)=22/4=5.5
So, lowest cost will be when x that is number of videos rented daily=5.5,
so let us substitute x=5.5
c(x)=2(5.5)^2-22(5.5)+600
c(x)=60.5-121+600
c(x)=539.5
So, the lowest cost will be $540 after round off.

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Taking c(x)=2x^2-22+600=2x^2+578
here coeffecient of x^2 is positive that means it wil be a upward parabola.

So, its vertex will be the minimum point.
x coordinate of the vertex is x=-b/2a=-(0)/2(2)=0/4=0
So, lowest cost will be when x that is number of videos rented daily=0,
so let us substitute x=0
c(x)=2(0)^2-578
c(x)=0-0+578
c(x)=578
So, the lowest cost will be $578 after round off.

The owner of a video store has determined that the cost C, in dollars, of operating the store is approximately given by c(x)=2x^2-22+600, where x is the number

The owner of a video store has determined that the cost C in

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