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A Company Processes Chemicals Through a Common Production Process ACalculate the Incremental Profit or Loss That Would Be Generated

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A company processes chemicals through a common production process.This process costs $200,000 each year.The four chemicals can be sold when they emerge from this process at the "split-off point," or processed further and then sold.Data about the four products for the coming period are:
 Unit Sales  Unit Sales  Price per  Price per  Gallon  Gallon after  Additional  at Split-Off  Further  Processing  Product  Volume  Point  Processing  CostsA25,000 g$35.00$54.00$500,000 B12,000 g12.0036.00124,000C8,000 g36.0054.00120,000D2,000 g12.0021.0025,000\begin{array}{lrrrr}&&\text { Unit Sales } & \text { Unit Sales } & \\&&\text { Price per } & \text { Price per } & \\&&\text { Gallon } & \text { Gallon after } & \text { Additional } \\&&\text { at Split-Off } & \text { Further } & \text { Processing } \\\underline { \text { Product } }&\underline { \text { Volume } }&\underline {\text { Point } }&\underline { \text { Processing }} & \underline {\text { Costs} }\\\mathrm{A} & 25,000 \mathrm{~g} & \$ 35.00 & \$ 54.00 & \$ 500,000 \\\mathrm{~B} & 12,000 \mathrm{~g} & 12.00 & 36.00 & 124,000 \\\\\mathrm{C} & 8,000 \mathrm{~g} & 36.00 & 54.00 & 120,000 \\\mathrm{D} & 2,000 \mathrm{~g} & 12.00 & 21.00 & 25,000\end{array} a.Calculate the incremental profit or loss that would be generated by processing these chemicals further.
b.Which chemicals should be sold as is and which should be processed further and why?

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Definitions:

Substitution

The act of replacing one thing with another, especially a similar item, in response to changes in market conditions or personal preferences.

Convex Preferences

In microeconomics, a condition where consumers prefer a mix of goods over having only one good, illustrated by a convex shape of their indifference curves.

Centered

In a general context, it means being in the middle or at the heart of something; in mathematics, it can refer to the process of adjusting data points or a distribution so that its mean equals zero.

Convex Preferences

Refers to a situation in economics where a consumer prefers a mix or combination of goods over having all of one good, demonstrating a desire for diversity in consumption.

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