Exam 16: Nonlinear and Non-Smooth Optimization

Use the table below to create a nonlinear model based on the table to answer the following question(s). The Atlas Movies Theater is planning to reprice their ticket rates to maximize revenues.They have three classes of tickets: Classic, Silver, and Gold.The table below provides information on the average ticket sales, revenue and price elasticity on demand.They have a total seating capacity of 300.The table also provides the price range within which they plan to reduce their ticket rates. -According to the nonlinear model, what is the new price for Gold tickets?

According to the model, which of the following is the weighted distance between the phone charger and Electricals cell?

The economic order quantity is the amount to order that minimizes the total cost of ordering and holding.

Use the table below to answer the following question(s). Pickson Luthiers Corporation is studying where to locate a phone charging point on the factory floor.The locations of five production cells are expressed as X- and Y-coordinates on a rectangular grid of the factory layout.The daily demand for the charging point (measured as the number of trips to the charging point)at each production cell is also known.Because of the nature of the equipment layout in the factory and for safety reasons, workers must travel along marked horizontal and vertical aisles to access the charger.Thus, the distance from a cell to the charger is measured as rectilinear distance. The table below provides the relevant information. The optimal location should minimize the total weighted distance between the charging point and all production cells, where the weights are the daily number of trips to the phone charging point. Create a nonsmooth optimization model, based on the data, to answer the following questions.(Hint: Choose the closest answers.) -According to the model, which of the following is the X-coordinate for the phone charger location?

From the data in the table below, calculate the total annual cost using the economic order quantity model. Data Annual Demand Rate 10,000 Ordering Cost \ 150 Unit Cost \ 16 Carrying Charge Rate 0.2 Order Quantity 1,000

Use the table below to answer the following question(s). Shirley Templeton is a real estate agent for Paralol Realty.Shirley is given the responsibility to manage potential customers for 5 of the Realty's bungalows.These 5 bungalows are situated in close proximity.In order to make traveling easire, Shirley decides to move to a location closer to the 5 bungalows.The table below gives the location (X and Y coordinates)of the 5 bungalows along with the number of trips she would have to make to each bungalow.Create a nonlinear model based on the data given in the table below noting that the objective is to reduce the weighted distance between Shirley's accommodation and the 5 bungalows. Bungalow Location Data X-coordinate Y -coordinate Trips/Month Location 0 0 6 Bungalow 1 25 100 30 Bungalow 2 20 75 15 Bungalow 3 90 80 28 Bungalow 4 60 100 10 -According to the model, what is the total weighted distance that Shirley would travel between the bungalows?