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Suppose that you've set up a business selling non- specialized home services (light carpentry, cleaning, and the like) for two hours to those who

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Suppose that you've set up a business selling non- specialized home services (light carpentry, cleaning, and the like) for two hours to those who live in your region. You've determined that the market bears a price of $150 for this service. Supposed you've now determined that (1) to discourage canceled appointments, some amount of the $150 needs to be considered a non-refundable charge and (2) you wish to offer a variety of appointment durations (total time length) and increments - specifically: quarter-hour increments will be acceptable. Decide a non-refundable amount you will charge per appointment. Then construct a function that takes as its input the number of quarter-hours an appointment takes and gives as its output the price. The function you construct must be consistent with the two-hour appointment having a price of $150. Vary the non-refundable amount, at least three times. What effect does the size of the non-refundable amount have on the total price as job duration varies?

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