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(Solved): Annie's expects fewer people to enroll in the fan club if the monthly fee is $12 instead of $10. It ...
Annie's expects fewer people to enroll in the fan club if the monthly fee is $12 instead of $10. It refers to this decline in enrollment as the attrition percentage. For example, if 100 people would enroll in the fan club at a monthly fee of $10 and the attrition percentage is 5%, it means that 95 people would enroll in the fan club at the higher price of $12 per month. Similarly, if 500 people would enroll in the fan club at a monthly fee of $10 and the attrition percentage is 5%, it means that 475 people (=500×[100%?5%]) would enroll in the fan club at the higher price of $12 per month. Review the data visualization below and answer the following questions:
Definitions: - Attrition percentage is the percent decline in enrollment if the fee increases from $10 per month to $12 per month. - Incremental profit is the additional profit earned at a $12 monthly enrollment fee instead of a $10 fee. Requirement 6 6-a. Assume (1) 100 people would enroll in the fan club at a price of $10 per month, and (2) the attrition percentage at the higher price of $12 per month is 0%. What incremental profit per year will the $12 pricing scenario provide relative to the $10 scenario? 6 -b. Assume (1) 500 people would enroll in the fan club at a price of $10 per month, and (2) the attrition percentage at the higher price of $12 per month is 0%. What incremental profit per year will the $12 pricing scenario provide relative to the $10 scenario? 6 -c. Assume (1) 100 people would enroll in the fan club at a price of $10 per month, and (2) the attrition percentage at the higher price of $12 per month is 5%. What incremental profit per year will the $12 pricing scenario provide relative to the $10 scenario? 6-d. Assume (1) 500 people would enroll in the fan club at a price of $10 per month, and (2) the attrition percentage at the higher price of $12 per month is 5%. What incremental profit per year will the $12 pricing scenario provide relative to the $10 scenario? 6 -e. Which of the following statements is true at an attrition percentage of 5% ? 6 -f. In both scenarios (100 members or 500 members), what is the highest attrition percentage that still provides an incremental profit greater than zero for the $12 pricing scenario?
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