Problem 1.[15 points] Suppose that a metal rod is supposed to be cut 74.0 mm. in length.The upper spec limit is set at 78.5 mm., and the lower spec limit set at 69.5 mm. A metalrod that is out of spec must be scrapped at a cost of$42.00. The company uses theTaguchiquality loss functionto estimate quality costs. Suppose that a sample of 5 units was taken,and the rod measurements were: 75.6, 78.2, 68.7, 71.0 and 73.6 mm., respectively.What is the totalTaguchi quality costof that sample of 5 units? Please round all costs tothe nearest penny.Problem 2.[10 points] The manager of an apartment complex feels overwhelmed by thenumber of complaints she is receiving. Below is the check sheet she has kept for the past 12weeks. Develop aPareto chartusing this information.What recommendations would you make?WeekGroundsParkingPoolTenantIssuesElectrical/Plumbing1√√√√√√√√√2√√√√√√√√√3√√√√√√√√√4√√√√√√√√√5√√√√√√√√√√√6√√√√√√√7√√√√√√√8√√√√√√√√√√√9√√√√10√√√√√√√√√11√√√√√√12√√√√√√√√√1