The Marginal Cost Function $C ^ { \prime } ( x )$

question 111

Short Answer

The marginal cost function $C ^ { \prime } ( x )$ is defined to be the derivative of the cost function. If the marginal cost of manufacturing $x$ units of a product is
$$C ^ { \prime } ( x ) = 0.009 x ^ { 2 } - 1.8 x + 9$$
(measured in dollars per unit) and the fixed start-up cost is $C ( 0 ) = 1,800,000$ , use the Total Change Theorem to find the cost of producing the first 5,000 units.

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Definitions:

LIFO Reserve

The difference between the cost of inventory calculated under the Last In, First Out (LIFO) method and its cost under the First In, First Out (FIFO) method.

Cost of Goods Sold

The direct costs attributable to the production of the goods sold in a company, including the cost of the materials and labor directly used to create the product.

FIFO Costs

First In, First Out, a cost flow assumption for inventory valuation where the oldest inventory items are recorded as sold first.

FIFO Inventory

A method of inventory valuation where the first items placed into inventory are the first ones sold; stands for First-In, First-Out.