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Mathematics
Mathematics
Problem
The total production cost in rupees for manufacturing
x
x
x
units of a product is
C
(
x
)
=
2
x
2
+
100
x
+
500
C(x)=2x^2+100x+500
C
(
x
)
=
2
x
2
+
100
x
+
500
for
x
≥
0
x\ge 0
x
≥
0
. a. (i) Calculate
C
′
(
x
)
C'(x)
C
′
(
x
)
. b. (ii) Is the total cost increasing or decreasing as the output
x
x
x
increases in the domain
x
≥
0
x\ge 0
x
≥
0
? State your reason.
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