Final answer:
Ms. Tyson can find the greatest number among a set of values by comparing them directly, using utility functions to determine the greatest utility, or interpreting the highest value from a random number generator. Numerical justification involves presenting data or calculations that support the identification of the greatest value.
Step-by-step explanation:
To find the greatest number among a set of values, Ms. Tyson could use several methods depending on the context:
- If dealing with a small set of numerical values, Ms. Tyson could simply compare each value and identify the largest one.
- In a statistics context, when determining the greatest utility, she might use a utility function to evaluate the total happiness or satisfaction (utility) obtained from consuming a combination of goods or activities. The option with the highest utility would be considered the greatest.
- When using random numbers to make selections, such as in generating samples for a study, the greatest number could refer to the highest numerical value obtained from a random number generator.
To justify numerically, she would present the calculations or data that show which value or option has the highest utility or satisfaction level. For example, for José, the highest total utility of 103 is attained at point S with specific quantities of goods consumed. This numerical justification supports why point S provides the greatest utility.