A Manager Has Learned That Annual Profits from Four Alternatives

question 52

Essay

A manager has learned that annual profits from four alternatives being considered for solving a capacity problem are projected to be $15,000 for A, $30,000 for B, $45,000 for C, and $60,000 for D if state of nature 1 occurs; and $60,000 for A, $80,000 for B, $90,000 for C, and $35,000 for D if state of nature 2 occurs.
(A) Assuming maximax is used, what alternative would be chosen?
(B) Assuming maximin is used, what alternative would be chosen?
(C) If P(State of Nature 1) is .40, what alternative has the highest expected monetary value?
(D) Determine the range of P(S2) for which each alternative would be optimal.

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Definitions:

N-Methyl-2-Ethyl-5-Methyloctanamide

An organic compound with a specific arrangement of methyl, ethyl groups, and an amide functional group, indicating a complex molecular structure.

Carbonyl Stretching Frequency

Refers to the specific vibration frequency observed in infrared spectroscopy for the carbon-oxygen double bond in carbonyl groups, typically around 1650 to 1750 cm^-1.

Esters

Organic compounds derived from carboxylic acids in which the hydrogen of the carboxyl group is replaced by a hydrocarbon group, often responsible for the sweet or fruity aromas and flavors of many fruits and flowers.

Aldehydes

Organic compounds characterized by a carbonyl group bonded to at least one hydrogen atom, making them highly reactive.