Two Companies Are About to Make a Decision Regarding an Investment

question 53

Multiple Choice

Two companies are about to make a decision regarding an investment in a new promotional campaign. Company A will either advertise in all media or advertise in newspapers only. Company B will either run a sweepstake or run a big sale. The payoff matrix is shown below. $\begin{array} { l l c c } \hline && { \text { Company B } } \\&& \mathrm { B } _ { 1 } : \text { Run a } & \mathrm { B } _ { 2 } : \text { Run a } \\&& \text { sweepstakes } & \text { big sale } \\\hline & \begin{array} { l } \text { A1: Advertise } \\\text { in all media }\end{array} & 4 &-1 \\\text { Company A } & \begin{array} { l } \text { A2: Advertise } \\\text { in newspapers only }\end{array} & - 2 & 1 \\\hline\end{array}$
Determine the proportion of time that Company A should employ each strategy.

• A) A₁: 12.5%, A₂: 87.5%
• B) A₁: 25%, A₂: 75%
• C) A₁: 37.5%, A₂: 62.5%
• D) A₁: 50%, A₂: 50%
• E) A₁: 62.5%, A₂: 37.5%

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Definitions:

Doublet

A pair of closely spaced lines or peaks observed in spectroscopy or other forms of analysis, indicating two related quantum states.

Singlet

In spectroscopy, a singlet represents a state in which all the electron spins are paired, leading to no magnetic spin multiplicity in the atomic or molecular orbital.

Proton Spin Decoupled

A nuclear magnetic resonance technique where the interaction between hydrogen nuclei and neighboring nuclei is removed to simplify the spectrum.

Triplet

In chemistry, a molecular entity with three similar elements or functional groups in its structure or a magnetic quantum state distinguished by three levels.