Consider the following loss matrix 0, 02 a1 6. 9. 15 20 a, 7 10 6. 14 az 18 12 11 19 a4 31 21 22 13 No probabilities are known for the occurrence of the nature states. Compare the solutions obtained by each of the following criteria: a. Laplace b. Махimin(Minimах) c. Savage d. Hurwitz (assume that a = 0.3)

Problem 8-21 (Algorithmic) Round Tree Manor is a hotel that provides two types of rooms with three rental classes: Super Saver, Deluxe, and Business. The profit per night for each type of room and rental class is as follows:   Rental Class Room   Super Saver Deluxe Business Type I $30 $35 — Type II $20 $30 $40   Type I rooms do not have wireless Internet access and are not available for the Business rental class. Round Tree's management makes a forecast of the demand by rental class for each night in the future. A linear programming model developed to maximize profit is used to determine how many reservations to accept for each rental class. The demand forecast for a particular night is 130 rentals in the Super Saver class, 60 rentals in the Deluxe class, and 50 rentals in the Business class. Round Tree has 100 Type I rooms and 120 Type II rooms.   Use linear programming to determine how many reservations to accept in each rental class and how the reservations should be…

A community council must decide which recreation facilities to construct in its community. Five new recreation facilities have been proposed – a soccer field (xs), an athletic field (Xa), a gymnasium (xg), a swimming pool (xp), a tennis center (x;). The council wants to select facilities that will maximize the expected daily usage by the residents of the community, subject to budget and selection limitations. The expected daily usage and cost information for each facility are given below: Recreation Facility Expected Usage (people/day) Cost ($ in K) Soccer field 180 50 Athletic field 130 20 Gymnasium 240 85 Swimming pool 270 40 Tennis center 70 15 The community has a $140K construction budget. The selection must also comply with the following two criteria: (1) At least two of the proposed facilities must be selected; and (2) gymnasium and tennis center cannot be selected simultaneously. Fill in the blanks to complete the formulation for this 0-1 integer programming model that maximizes…

Problem 2 The University of South Wisconsin has had steady enrollments over the past five years. The school has its one bookstore, called University Book Store, but there are also three private bookstores in town: Bill’s Book Store, College Book Store, and Battle’s Book Store. The university is concerned about the large number of students who are switching to one of the private stores. As a result, South Wisconsin’s president, Andy Lange, has decided to give a student three hours of university credit to look into the problem. The following matrix of transition probabilities was obtained: University    Bill’s     College      Battle’s  University     0.5        0.2        0.2         0.1 Bill’s         0.1        0.6        0.2         0.1 College       0.1        0.1        0.7         0.1 Battle’s       0.05       0.1        0.1         0.75 At the present time, market shares for University, College, Battle’s and Bill’s book stores are 0.3, 0.3, 0.2, 0.2. What will the market share…

Valencia products makes automobile radar detectors and assembles two models. Laser stop and Speedbuster both models use the same electronic components after reviewing the components required and the profit for each model, the firm found the following linear optimization model for profit, where L is the number of LaserStop models produced and S is the number of Speedbuster models produced. Implement the linear optimization model on a spreadsheet and use. Solver to find an optimal solution. Interpret the optimal solution, identify the binding constraints and verify the values of the slack variables . Maximize profit = 123 L + 139 S 19 L + 11 S < 4,000 (availability of component A) 6 L + 9 S < 35000 (availability of component B) L > 0 and S > 0 The optimal solution is to produce how many Laser stop models ? And how many Speedbuster models ? The maximum possible profit is ? Component A is or is not a binding…

How did you find the solutions in the table for the range of optimality for the profit coefficient?

What is DEFINITION OF the One-way ANOVA? When and how to use one-way ANOVA

Diana are currently employed as full-time supervisor at a wealth management company in Kuala Lumpur, and she want to negotiate with the head manager, Mrs. Janice to work flexible hours from home on long term bases due to her condition which have previously miscarriage for two times. She is worried about her current pregnancy which just entered the second month. She and her husband has been waiting to conceive for more than 4 years. However, Diana want to implement this flexible hour (work remotely) to everyone in the company. Diana want to work remotely because she is now having to take care of herself as according to the doctor, she is so fragile at the early of her pregnancy. She must reduce her steps to make sure no bleeding could happen. Since she was on work from home mode for the last month as she is given bed rest by the doctor, she seems to prefer working in such condition. Diana found that working remotely gave her the flexibility and was able to concentrate a lot more…

The manager of a company wishes to assign three jobs to four machines on one-on-one basis. The cost of each job on each machine if given on the following table. Solve it through Branch and Bound on Assignment Problem.