A firm’s total cost of producing q units is C(q)=4{q^3}-3{q^2}+8q+260. The current level of producti


Question: A firm’s total cost of producing q units is \(C\left( q \right)=4{{q}^{3}}-3{{q}^{2}}+8q+260\).

The current level of production is four units. Using incremental change (also called the differential), estimate the amount by which the total cost will change as a result of increasing production by 1/8 unit.

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