
Mark M. answered 04/26/20
Mathematics Teacher - NCLB Highly Qualified
C = 1.5x2 + 45x + 15000/x
C/x = 1.5x + 45 + 15000/x
d/dx (1.5x + 45 + 15000/x = 1.5 - (15000 / x2)
0 = 1.5x2 - 15000
15000 = 1.5x2
10000 = x2
100 = x
Nathan D.
asked 04/23/20A manufacturer has determined that the total cost C of operating a factory is
C = 1.5x2 + 45x + 15000,
where x is the number of units produced. At what level of production will the average cost per unit be minimized? (The average cost per unit is C/x.)
x = ____ units
Mark M. answered 04/26/20
Mathematics Teacher - NCLB Highly Qualified
C = 1.5x2 + 45x + 15000/x
C/x = 1.5x + 45 + 15000/x
d/dx (1.5x + 45 + 15000/x = 1.5 - (15000 / x2)
0 = 1.5x2 - 15000
15000 = 1.5x2
10000 = x2
100 = x
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