An Acting Troupe Wants to Rent Out the Campus Amphitheater

question 41

Multiple Choice

An acting troupe wants to rent out the campus amphitheater for its summer Shakespeare production. They can sell no more that 1200 general admission tickets and up to 300 student tickets according to school policy. They must sell at least 100 student tickets according to student government rules. To make enough money, they must sell at least 500 tickets. The school charges $4 per student ticket and $7 per general admission ticket as its fee for renting the amphitheater. How many of each ticket must be sold to minimize the cost of renting the theater and still make enough money?

• A) 300 student and 200 general admission tickets
• B) 100 student and 1200 general admission tickets
• C) 100 student and 400 general admission tickets
• D) 300 student and 1200 general admission tickets

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Definitions:

Mean

The arithmetic average of a set of values, calculated as the sum of all values divided by the total number of values.

Deviation

The amount by which a single measurement differs from a fixed value such as the mean or expected value.

Normal Curve

A symmetrical, bell-shaped curve representing the distribution of values, scores, or measurements where most occurrences take place near the average.

Scores

Quantitative values assigned or obtained to represent certain characteristics or outcomes in data.