微积分the cost of producing x units of a commodityIf C(x) is the cost of producing x units of a commodity,then the average cost per unit is a(x) = C(x)/x.Consider the C(x) given below.Round your answers to the nearest cent.C(x) = 54,000 + 100x + 4
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![微积分the cost of producing x units of a commodityIf C(x) is the cost of producing x units of a commodity,then the average cost per unit is a(x) = C(x)/x.Consider the C(x) given below.Round your answers to the nearest cent.C(x) = 54,000 + 100x + 4](/uploads/image/z/8491387-67-7.jpg?t=%E5%BE%AE%E7%A7%AF%E5%88%86the+cost+of+producing+x+units+of+a+commodityIf+C%28x%29+is+the+cost+of+producing+x+units+of+a+commodity%2Cthen+the+average+cost+per+unit+is+a%28x%29+%3D+C%28x%29%2Fx.Consider+the+C%28x%29+given+below.Round+your+answers+to+the+nearest+cent.C%28x%29+%3D+54%2C000+%2B+100x+%2B+4)
微积分the cost of producing x units of a commodityIf C(x) is the cost of producing x units of a commodity,then the average cost per unit is a(x) = C(x)/x.Consider the C(x) given below.Round your answers to the nearest cent.C(x) = 54,000 + 100x + 4
微积分the cost of producing x units of a commodity
If C(x) is the cost of producing x units of a commodity,then the average cost per unit is a(x) = C(x)/x.Consider the C(x) given below.Round your answers to the nearest cent.
C(x) = 54,000 + 100x + 4x^(3/2)
Find the production level that will minimize the average cost.
( )units
What is the minimum average cost?
( )dollars per unit
微积分the cost of producing x units of a commodityIf C(x) is the cost of producing x units of a commodity,then the average cost per unit is a(x) = C(x)/x.Consider the C(x) given below.Round your answers to the nearest cent.C(x) = 54,000 + 100x + 4
a(x)=C(x)/x=54000/x+100+4x^(1/2)
a'(x)=-54000/(x^2)+2x^(-1/2)=0
x^(3/2)=27000
x=900
900 units will minimize the average cost
a(900)=280
280 dollars per unit is the minimum average cost?