02 x2 + 30x + 5000
Find the marginal cost when 3 units are produced, where by marginal cost we
mean the instantaneous rate of change of total cost at any level of output Solution Since marginal cost is the rate of change of total cost with respect to the
output, we have
Marginal
cost (MC) =
0 005(32
)
0 02(2 )
30
dC
x
x
dx =
−
+
When
x = 3, MC =
0