Universal Claims Processors processes insurance claims for large national insurance companies. Most claim processing is done by a large pool ofcomputer operators, some of whom are permanent and some of whom are temporary. A permanent operator can process 16 claims per day,whereas a temporary operator can process 12 per day, and on average the company processes at least 450 claims each day. The company has 40computer workstations. A permanent operator generates about 0.5 claims with errors each day, whereas a temporary operator averages about 1.4defective claims per day. The company wants to limit claims with errors to 25 per day. A permanent operator is paid $64 per day, and a temporaryoperator is paid $42 per day. The company wants to determine the number of permanent and temporary operators to hire in order to minimizecosts. explain the effect on the optimal solution if the minimum number of claims the firm processes each day increased from 450 to at least 650.

ABC Apple Juice Company produces and markets fresh fruit juice. During the apple harvest season, trucks bring apples from the fields to the process plant during a workday that runs long hours from 7AM. On peak days, approximately 3,000 kg of apples are trucked in per hour. Trucks dump their contents in a holding bin with a storage capacity of 9,000 kg. When the bin is full, incoming trucks must wait until it has sufficient available space. A conveyor moves apples from bin to the processing plant. The plant is configured to process apples at the rate of 2,000 kg per hour. Trucks arrive uniformly between 7:00AM to 5:00PM. Each truck holds about 1,000 kg of apples. The truck drivers are paid at the rate of $10 per hour. As ABC makes fresh juice, it does not store apples. Processing plant starts at 10:00AM and ends when all the apples received during the day have been processed. It takes 2 hours to clean the empty plant that must be kept ready for the next day production. Trucks are owned…

The first station can process a unit in 10 minutes  First Station capacity = 60/10 = 6 units per hour As the second station has 2 identical machines in parallel, each of which can process a unit in 12 minutes. Each unit needs to be processed on one of the two machines. Second Station Capacity = 60 x 2/12 = 10 units per hour The third station can process a unit in 8 minutes Third Station capacity = 60/8 = 7.5 units per hour  What is the hourly capacity of this production line?

QMB Apparel, Inc is a local clothing company that produces two types of shirt: Polo Shirts (P) & Dress Shirts (D). The profit contributions for each shirt and the associated production restrictions (in number of minutes available) are listed below: Polo Shirts (P) Dress Shirts (D) $25 $30 Profit per Unit Cutting Sewing Inspection Polo Shirts (P) Dress Shirts (D) Number of Minutes Available 40 50 1,200 40 1,100 20 1,050 60 70 Using the information in the tables above, what is the optimal amount of Polo Shirts (P) and Dress Shirts (D) that QMB Apparel should produce to maximize it's profits? 40 Polo Shirts (P) & 10 Dress Shirts (D) 5 Polo Shirts (P) & 20 Dress Shirts (D) 30 Polo Shirts (P) & 0 Dress Shirts (D) O0 Polo Shirts (P) & 48 Dress Shirts (D) 010 Polo Shirts (P) & 40 Dress Shirts (D)