Sidneyville manufactures household and commercial furnishings. The Office Division produces two desks, rolltop and regular. Sidneyville constructs the desks in its plant outside Medford, Oregon, from a selection of woods. The woods are cut to a uniform thickness of 1 inch. For this reason, one measures the wood in units of square feet. One rolltop desk requires 10 square feet of pine, 4 square feet of cedar, and 15 square feet of maple. One regular desk requires 20 square feet of pine, 16 square feet of cedar, and 10 square feet of maple. The desks yield respectively $115 and $90 profit per sale. At the current time the firm has available 200 square feet of pine, 128 square feet of cedar, and 220 square feet of maple. The firm has backlogged orders for both desks and would like to produce the number of rolltop and regular desks that would maximize profit. How many of each should it produce?

Embassy Motorcycles (EM) manufactures two lightweight motorcycles designed for easy handling and safety. The EZ-Rider model has a new engine and a low profile that make it easy to balance. The Lady-Sport model is slightly larger, uses a more traditional engine, and is specifically designed to appeal to women riders. Embassy produces the engines for both models at its Des Moines, Iowa, plant. Each EZ-Rider engine requires 6 hours of

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?