An aircraft repair service reimburses its customers for the timethat an aircraft spends at their facility. Total costs are the sumof these reimbursements (waiting costs) and the salaries of theirtechnicians. A customer is reimbursed $203 per hour for the timethat the aircraft is out of service, and the cost of a servicetechnician (including equipment and materials) is $1,196 per hour.Use Table 1 and Table 2. a. How many service technicians should beon call, if there are (on average) 4 aircraft arriving per hour,and each technician can complete 5 services per hour (Poissondistributions)? HINT: Calculate the total cost, which is the sum ofwaiting cost and service cost. Number of technician(s) b. Theservice rate could be made faster ( (5.71 repairs per hour) if thecompany invests in new software, which would cost $100 per servicetechnician. Is it cost-effective for the company to invest in thissoftware? HINT: the service cost is higher, but the time that ittakes to get through the system, hence the waiting cost, is lower.(Round your cost amount to 2 decimal places and all othercalculations to 3 decimal places. Omit the \"$\" sign in yourresponse.) , because the daily total cost with the new software is$ which is lower than without the new software.