Exam 16: Nonlinear and Non-Smooth Optimization

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Use the table below to answer the following question(s). Jonathan Reese is considering three stocks in which to invest with a fixed budget.The table below provides information on Jonathan's expected returns for each stock.The table also provides information, collected from market researchers, on the variance-covariance matrix of the individual stocks.He expects a total return of at least 10%. Use the table below to answer the following question(s). Jonathan Reese is considering three stocks in which to invest with a fixed budget.The table below provides information on Jonathan's expected returns for each stock.The table also provides information, collected from market researchers, on the variance-covariance matrix of the individual stocks.He expects a total return of at least 10%.     Develop a quadratic optimization model to find the optimal allocation of the budget to each stock, and variance calculations for squared terms and cross-products based on the variance-covariance matrix. -According to the model, what percentage of the budget should be allocated to Stock 3? Develop a quadratic optimization model to find the optimal allocation of the budget to each stock, and variance calculations for squared terms and cross-products based on the variance-covariance matrix. -According to the model, what percentage of the budget should be allocated to Stock 3?

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Use the table below to answer the following question(s). Use the table below to answer the following question(s).    -According to the nonlinear model, which of the following is the total revenue expected from the sales? -According to the nonlinear model, which of the following is the total revenue expected from the sales?

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Use the table below to answer the following question(s). Use the table below to answer the following question(s).    -According to the nonlinear model, which of the following is the expected sales figure based on the computed price? -According to the nonlinear model, which of the following is the expected sales figure based on the computed price?

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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 distance between Shirley's new accommodation and Bungalow 5?

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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 weighted distance between Shirley's new accommodation and Bungalow 3?

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What are the assumptions made when developing an economic order quantity model?

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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. 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 Classic tickets? -According to the nonlinear model, what is the new price for Classic tickets?

(Multiple Choice)
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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 weighted distance between Shirley's new accommodation and Bungalow 4?

(Multiple Choice)
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Use the table below to answer the following question(s). Jonathan Reese is considering three stocks in which to invest with a fixed budget.The table below provides information on Jonathan's expected returns for each stock.The table also provides information, collected from market researchers, on the variance-covariance matrix of the individual stocks.He expects a total return of at least 10%. Use the table below to answer the following question(s). Jonathan Reese is considering three stocks in which to invest with a fixed budget.The table below provides information on Jonathan's expected returns for each stock.The table also provides information, collected from market researchers, on the variance-covariance matrix of the individual stocks.He expects a total return of at least 10%.     Develop a quadratic optimization model to find the optimal allocation of the budget to each stock, and variance calculations for squared terms and cross-products based on the variance-covariance matrix. -According to the model, what percentage of the budget should be allocated to Stock 1? Develop a quadratic optimization model to find the optimal allocation of the budget to each stock, and variance calculations for squared terms and cross-products based on the variance-covariance matrix. -According to the model, what percentage of the budget should be allocated to Stock 1?

(Multiple Choice)
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Use the table below to answer the following question(s). Jonathan Reese is considering three stocks in which to invest with a fixed budget.The table below provides information on Jonathan's expected returns for each stock.The table also provides information, collected from market researchers, on the variance-covariance matrix of the individual stocks.He expects a total return of at least 10%. Use the table below to answer the following question(s). Jonathan Reese is considering three stocks in which to invest with a fixed budget.The table below provides information on Jonathan's expected returns for each stock.The table also provides information, collected from market researchers, on the variance-covariance matrix of the individual stocks.He expects a total return of at least 10%.     Develop a quadratic optimization model to find the optimal allocation of the budget to each stock, and variance calculations for squared terms and cross-products based on the variance-covariance matrix. -According to the model, what is the cross-product value for Stock 3 variance? Develop a quadratic optimization model to find the optimal allocation of the budget to each stock, and variance calculations for squared terms and cross-products based on the variance-covariance matrix. -According to the model, what is the cross-product value for Stock 3 variance?

(Multiple Choice)
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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. 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, which of the following is the projected revenue figure for Gold tickets based on its new price? -According to the nonlinear model, which of the following is the projected revenue figure for Gold tickets based on its new price?

(Multiple Choice)
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Use the table below to answer the following question(s). Jonathan Reese is considering three stocks in which to invest with a fixed budget.The table below provides information on Jonathan's expected returns for each stock.The table also provides information, collected from market researchers, on the variance-covariance matrix of the individual stocks.He expects a total return of at least 10%. Use the table below to answer the following question(s). Jonathan Reese is considering three stocks in which to invest with a fixed budget.The table below provides information on Jonathan's expected returns for each stock.The table also provides information, collected from market researchers, on the variance-covariance matrix of the individual stocks.He expects a total return of at least 10%.     Develop a quadratic optimization model to find the optimal allocation of the budget to each stock, and variance calculations for squared terms and cross-products based on the variance-covariance matrix. -According to the model, what is the cross-product value for Stock 2 variance? Develop a quadratic optimization model to find the optimal allocation of the budget to each stock, and variance calculations for squared terms and cross-products based on the variance-covariance matrix. -According to the model, what is the cross-product value for Stock 2 variance?

(Multiple Choice)
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Rectilinear distance is the measure of distance as a straight line between two points.

(True/False)
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Use the table below to answer the following question(s). Jonathan Reese is considering three stocks in which to invest with a fixed budget.The table below provides information on Jonathan's expected returns for each stock.The table also provides information, collected from market researchers, on the variance-covariance matrix of the individual stocks.He expects a total return of at least 10%. Use the table below to answer the following question(s). Jonathan Reese is considering three stocks in which to invest with a fixed budget.The table below provides information on Jonathan's expected returns for each stock.The table also provides information, collected from market researchers, on the variance-covariance matrix of the individual stocks.He expects a total return of at least 10%.     Develop a quadratic optimization model to find the optimal allocation of the budget to each stock, and variance calculations for squared terms and cross-products based on the variance-covariance matrix. -According to the model, what is the squared term value for Stock 3 variance? Develop a quadratic optimization model to find the optimal allocation of the budget to each stock, and variance calculations for squared terms and cross-products based on the variance-covariance matrix. -According to the model, what is the squared term value for Stock 3 variance?

(Multiple Choice)
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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. 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, which of the following is the projected sales figure for Silver tickets at the new price? -According to the nonlinear model, which of the following is the projected sales figure for Silver tickets at the new price?

(Multiple Choice)
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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 -In EOQ model, ________ is the estimate on how long it takes an order to be received after it is placed.

(Multiple Choice)
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What is a job-sequencing problem? How can we find an optimal solution for such problems?

(Essay)
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According to the model, which of the following is the weighted distance between the phone charger and Packaging cell?

(Multiple Choice)
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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 weighted distance between Shirley's new accommodation and Bungalow 1?

(Multiple Choice)
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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. 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 Silver tickets? -According to the nonlinear model, what is the new price for Silver tickets?

(Multiple Choice)
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