Loyalty points are awarded by a company based on the amount a customer spend. Loyalty points can be used immediately with the current transaction or can be accumulated. The number of loyalty points per transaction is calculated as follows: For purchases of R 500.00 or less, 1 loyalty point will be awarded per R 50.00 spent. For purchases of more than R 500.00 the following applies:  For the first R 500.00, 1 loyalty point will be awarded per R 50.00 spent  For the remainder of the amount, 2 loyalty points will be awarded per R50.00 spent. Examples: For purchases of R 460.00, 9 loyalty points will be awarded. For purchases of R 660.00, 10 loyalty points will be awarded for the first R 500.00 and 6 loyalty points for the remaining R 160.00 = 16 loyalty points For purchases of R 1250.00, 10 loyalty points will be awarded for the first R 500.00 and 30 loyalty points for the remaining R 750.00 = 40 loyalty points The monetary value of the loyalty points is calculated as follows: The first 30 loyalty points are worth 25c each. Loyalty points from 30 up to 50 is worth 40c each. Loyalty points above 50 is worth 60c each. With each transaction the customer can choose to use their loyalty points in which case the customer will receive the monetary value of the total number of loyalty points and the total will be set to 0.

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter17: Markov Chains
Section: Chapter Questions
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Loyalty points are awarded by a company based on the amount a customer spend. Loyalty points can be used
immediately with the current transaction or can be accumulated.
The number of loyalty points per transaction is calculated as follows:
For purchases of R 500.00 or less, 1 loyalty point will be awarded per R 50.00 spent.
For purchases of more than R 500.00 the following applies:
 For the first R 500.00, 1 loyalty point will be awarded per R 50.00 spent
 For the remainder of the amount, 2 loyalty points will be awarded per R50.00 spent.
Examples:
For purchases of R 460.00, 9 loyalty points will be awarded.
For purchases of R 660.00, 10 loyalty points will be awarded for the first R 500.00 and 6 loyalty points for the
remaining R 160.00 = 16 loyalty points
For purchases of R 1250.00, 10 loyalty points will be awarded for the first R 500.00 and 30 loyalty points for the
remaining R 750.00 = 40 loyalty points
The monetary value of the loyalty points is calculated as follows:
The first 30 loyalty points are worth 25c each.
Loyalty points from 30 up to 50 is worth 40c each.
Loyalty points above 50 is worth 60c each.
With each transaction the customer can choose to use their loyalty points in which case the customer will receive
the monetary value of the total number of loyalty points and the total will be set to 0.

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