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1000Find the marginal cost when q = 10.9The average coste for producing q units of a product is given by c 0.012 +1111201282.414112

Question
1000
Find the marginal cost when q = 10.
9
The average coste for producing q units of a product is given by c 0.012 +11
1120
12
82.4
14
112
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1000 Find the marginal cost when q = 10. 9 The average coste for producing q units of a product is given by c 0.012 +11 1120 12 82.4 14 112

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Step 1

The average cost c is given by ,

1000
c 0.0l11
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1000 c 0.0l11

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Step 2

The total cost of the system is given by ,

ТC %3D сха
1000
ТС %3 q| 0.01g +11+.
3
=0.01q q1000
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ТC %3D сха 1000 ТС %3 q| 0.01g +11+. 3 =0.01q q1000

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Step 3

Differentiate TC with respect to q to f...

d
dTC
(0.0lq' +11q +100)
dq
dq
d
d
(0.01g)
dq
(1000)
(11q)+
3
da
dq
3(0.0lg2)+11
0.03q11
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d dTC (0.0lq' +11q +100) dq dq d d (0.01g) dq (1000) (11q)+ 3 da dq 3(0.0lg2)+11 0.03q11

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Math

Calculus

Differential Equations

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