The cost of producing x units of a certain commodity is C(x) = 8000 + 6x + 0.15x^2. What is the change in cost per unit when production is increased from 100 to 101 and to 102 and what is the marginal cost.

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The cost of production of x units is given by C(x) = 8000 + 6x + 0.15x^2.

The marginal cost of production is the instantaneous rate of change which is 6 + 0.3*x

The cost of production of 100 units is 10100, of 101 units is 10136.15 and of 102 units is 10172.6

The increase in cost per unit when 101 units are produced instead of 100 is 136.15 and the increase in cost per unit when 102 units are produced is 86.3

The change in cost per unit when production is increased from 100 to 101 and 102 is $136.15 and $86.3 resp. The marginal cost of production is  6 + 0.3*x

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