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# 3 (20 points) You manage a center that performs emergency walk-in mobile phone repairs for a major phone carrier.

5.3 (20 points) You manage a center that performs emergency walk-in mobile phonerepairs for a major phone carrier. The recent historical pattern for the number ofphones that need to be repaired each day is listed in Table 2.For example, on 3% of the days you need to repair 10 phone, on 4% of the days,you need to repair 11 phones, and so forth. Each phone you receive has a 28% chance,independent of all other phones, of needing a major" repair, which takes 75 minutes.Phones that do not need a major" repair require only a minor" repair, which takes45 minutes. Repairs are performed by technicians who are paid $225 per day, andcan work up to 7 hours. If you do not have enough technicians to perform all thework needed on a given day, you can pay overtime or bring in outside technicians {either way, it costs you $85 per hour, but you can purchase fractions of hours.How many technicians should you keep on sta to have the lowest average costper day? Try the values 2, 3, 4, and 5, each with a sample size of 1,000.