Use the table below to create a nonlinear model based on the table to answer the following questions). 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. \[\begin{array} {| l | l | l | l | l | l | l | } \hline \begin{array} { l } \text { Atlas Mavie } \\ \text { Theater } \\ \text { Ticketing } \end{array} & & & & & & \\ \hline & & & & & & \\ \hline \text { Data } & & & & & & \\ \hline & & & & & & \\ \hline \text { Ticket Class } & \begin{array} { l } \text { Current } \\ \text { Rate } \end{array} & \begin{array} { l } \text { Avernge } \\ \text { Daily } \\ \text { Sald } \end{array} & \text { Elasticity } & \begin{array} { l } \text { Tatal } \\ \text { Seating } \\ \text { Capacity } \end{array} & { \text { Price Range } } \\ \hline \text { Classic } & \$ 8.45 & 150 & - 1.5 & 300 & \$ 6.50 & \$ 7.50 \\ \hline \text { Silver } & \$ 13.25 & \mathbf { 8 0 } & - 2 & & \$ 1.50 & \$ 12.50 \\ \hline \text { Gald } & \$ 17.50 & \mathbf { 3 0 } & - 1 & & \$ 15.50 & \$ 16.50 \\ \hline \end{array}\] -Which of the following is the rectilinear distance between the points A13,15) and B10,12)?

A) 4 B) 25 C) 6 D) 10 A) 4 B) 25 C) 6 D) 10 C

LO1: Develop and solve nonlinear optimization models for different applications. Use the table below to answer the following questions). 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. $\begin{array}{|l|l|l|l|} \hline\text { Pickson Luthiers } \\ \text { Corporation } & \text { Phone Recharging Points } & \\ \hline & & & \\ \hline \text { Data } & \\ \hline\\ \hline \text { Cell } & X \text {-coordinate } & Y \text {-coordinate } & \text { Demand } \\ \hline \text { Measurements } & 2 & 5 & 27 \\ \hline \text { Paint } & 1 & 3 & 12 \\ \hline \text { Electricals } & 4 & 2 & 25 \\ \hline \end{array}$ \[\begin{array} { | l | l | l | l | } \hline \text { Testing } & 3.5 & 5 & 5 \\ \hline \text { Packnging } & 3 & 3 & 7 \\ \hline & & & \\ \hline \text { Maxirnum } & 4 & 5 & \\ \hline \end{array}\] 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 weighted distance between the phone charger and Testing cell?

A) 7.00 B) 17.50 C) 22.50 D) 27.50 A) 7.00 B) 17.50 C) 22.50 D) 27.50

Use the table below to answer the following questions) using the standard Solver. A company makes standard 130-inch-wide rolls of thin sheet metal and slits them into smaller rolls to meet customer orders for widths of 10, 14, and 25 inches. Suppose that the company has proposed the following cutting patterns: $\begin{array}{|c|c|c|c|c|c|} \hline&{\text { A }} & \mathrm{B} & \mathrm{C} & \mathrm{D} & \mathrm{E} \\ \hline 1 & \text { Cutting-Stock Problem } & & & & \\ \hline 2 & & & & & \\ \hline 3 & \text { Data } & & & & \\ \hline 4 & \text { Pattein } & \text { 10-in rolls } & \text { 14 in. rolls } & \text { 25-in. rolls } & \text { Scrap } \\ \hline 5 & 1 & 0 & 8 & 0 & 10 \\ \hline 6 & 2 & 0 & 2 & 3 & 10 \\ \hline 7 & 3 & 3 & 0 & 3 & 4 \\ \hline 8 & 4 & 10 & 0 & 0 & 10 \\ \hline 9 & 5 & 3 & 2 & 2 & 4 \\ \hline 10 & 6 & 8 & 2 & 0 & 4 \\ \hline \end{array}$ Demands for the coming week are 950 10-inch rolls, 725 14-inch roles, and 640 25-inch rolls. Develop a model using the Analytic Solver Platform that will determine how many 130-inch rolls to cut into each of the six patterns in order to meet demand and minimize scrap. -What is the total number of 25-inch rolls produced?

A) 630 B) 635 C) 640 D) 645 A) 630 B) 635 C) 640 D) 645

Use the table below to answer the following questions) using the standard Solver. A company makes standard 130-inch-wide rolls of thin sheet metal and slits them into smaller rolls to meet customer orders for widths of 10, 14, and 25 inches. Suppose that the company has proposed the following cutting patterns: $\begin{array}{|c|c|c|c|c|c|} \hline&{\text { A }} & \mathrm{B} & \mathrm{C} & \mathrm{D} & \mathrm{E} \\ \hline 1 & \text { Cutting-Stock Problem } & & & & \\ \hline 2 & & & & & \\ \hline 3 & \text { Data } & & & & \\ \hline 4 & \text { Pattein } & \text { 10-in rolls } & \text { 14 in. rolls } & \text { 25-in. rolls } & \text { Scrap } \\ \hline 5 & 1 & 0 & 8 & 0 & 10 \\ \hline 6 & 2 & 0 & 2 & 3 & 10 \\ \hline 7 & 3 & 3 & 0 & 3 & 4 \\ \hline 8 & 4 & 10 & 0 & 0 & 10 \\ \hline 9 & 5 & 3 & 2 & 2 & 4 \\ \hline 10 & 6 & 8 & 2 & 0 & 4 \\ \hline \end{array}$ Demands for the coming week are 950 10-inch rolls, 725 14-inch roles, and 640 25-inch rolls. Develop a model using the Analytic Solver Platform that will determine how many 130-inch rolls to cut into each of the six patterns in order to meet demand and minimize scrap. -What is the total number of 14-inch rolls produced?

A) 721 B) 725 C) 728 D) 740 A) 721 B) 725 C) 728 D) 740

LO1: Develop and solve nonlinear optimization models for different applications. Use the table below to answer the following questions). 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. $\begin{array}{|l|l|l|l|} \hline\text { Pickson Luthiers } \\ \text { Corporation } & \text { Phone Recharging Points } & \\ \hline & & & \\ \hline \text { Data } & \\ \hline\\ \hline \text { Cell } & X \text {-coordinate } & Y \text {-coordinate } & \text { Demand } \\ \hline \text { Measurements } & 2 & 5 & 27 \\ \hline \text { Paint } & 1 & 3 & 12 \\ \hline \text { Electricals } & 4 & 2 & 25 \\ \hline \end{array}$ \[\begin{array} { | l | l | l | l | } \hline \text { Testing } & 3.5 & 5 & 5 \\ \hline \text { Packnging } & 3 & 3 & 7 \\ \hline & & & \\ \hline \text { Maxirnum } & 4 & 5 & \\ \hline \end{array}\] 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?

A) 2.00 B) 3.00 C) 3.50 D) 4.00 A) 2.00 B) 3.00 C) 3.50 D) 4.00

Use the table below to create a nonlinear model based on the table to answer the following questions). 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. \[\begin{array} {| l | l | l | l | l | l | l | } \hline \begin{array} { l } \text { Atlas Mavie } \\ \text { Theater } \\ \text { Ticketing } \end{array} & & & & & & \\ \hline & & & & & & \\ \hline \text { Data } & & & & & & \\ \hline & & & & & & \\ \hline \text { Ticket Class } & \begin{array} { l } \text { Current } \\ \text { Rate } \end{array} & \begin{array} { l } \text { Avernge } \\ \text { Daily } \\ \text { Sald } \end{array} & \text { Elasticity } & \begin{array} { l } \text { Tatal } \\ \text { Seating } \\ \text { Capacity } \end{array} & { \text { Price Range } } \\ \hline \text { Classic } & \$ 8.45 & 150 & - 1.5 & 300 & \$ 6.50 & \$ 7.50 \\ \hline \text { Silver } & \$ 13.25 & \mathbf { 8 0 } & - 2 & & \$ 1.50 & \$ 12.50 \\ \hline \text { Gald } & \$ 17.50 & \mathbf { 3 0 } & - 1 & & \$ 15.50 & \$ 16.50 \\ \hline \end{array}\] -Which of the following is true of the nonlinear model created for the Atlas movie ticket repricing scenario?

A) The projected revenue for the Gold class is infeasible within the price range provided. B) The projected value for most tickets sold is for the Silver class. C) The total projected tickets sold exceed the total seating capacity. D) The projected revenue is lowest for the Gold tickets. A) The projected revenue for the Gold class is infeasible within the price range provided. B) The projected value for most tickets sold is for the Silver class. C) The total projected tickets sold exceed the total seating capacity. D) The projected revenue is lowest for the Gold tickets.