please answer each question in full. This is a mgmt science operation mgmt section 01

7) [10 points] A fast food franchise tracked the number of errors that occurred in customers' orders. These included wrong menu item, wrong size drink, lack of condiments, wrong price total, and so on. Some orders may have more than one error. 2500 orders were filled, and a total of 30 errors were discovered. a) What is the average number of errors per unit? Define the 'unit'. b) Find the control limits for a c-chart. 8) [10 points] Three ice-cream packing machines at the Creamy Treat Company are being evaluated for their capability. If design specification of the ice-cream packing process is 16.000.20 ounces. The following data is recorded. a) Compute the process capability indexes Cp,Cpb,Cpu, and Cpk for each machine. b) Which machines are capable of achieving four-sigma performance (the four-sigma performance target value is 1.33 )