1. Suisan Fish Company contracts with fishers in Hilo, Kona, and Puna, Big Island to purchase fishes. The fishes are cleaned and stored at the local processing facilities. Then the fishes are shipped to two plants, where they are cut, processed, and packaged as sushi and sashimi. The sushi and sashimi are then transported to three restaurants. The transportation costs per fish from the fishers to the plants and from the plants to the restaurants are summarized in the following tables: Plant Fisher 4. Plant 1 5. Plant 2 Supply 1. Hilo $16 $21 72 2. Kona $18 $16 105 3. Puna $22 $25 83 Restaurant Plant 6. BTS Sushi 7. Kentucky Fried Sushi 8. Ken's Sushi House 4. Plant 1 $23 $15 $29 5. Plant 2 $20 $17 $24 Demand 90 80 120 a. Determine the optimal shipments from fishers to plants to restaurants to minimize total transportation costs. b. What would be the effect on the solutions if the capacity at each plant were 140 fishes? (Hint: add one constraint for each plant that either the sum of incoming shipments or outgoing shipments is less than or equal to 140)

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…

(Problem 1) A manager of Drexel Clothing Company has to make a decision on shipping. There are two shippers, A and B. Both offer a two-day rate: A for $500 and B for $525. In addition, A offers a three-day rate of $450 and a nine-day rate of $325 and B offers a four-day rate of $400 and a seven-day rate for $375. Annual holding costs are 25% of unit price. Four hundred boxes are to be shipped, and each box has a price of $250. The shipping charges are for the entire batch of 400 boxes. Which shipping alternative would you recommend? Explain.

allons of deionized water from each wholesaler to each distribution center is shown in the following table: Question Viewer a. Which of the following statements regarding setting up the tableau for the optimal solution for this problem is true? B. The sum of supply capacities is greater than the sum of demands, so a dummy distribution center is needed. C. The sum of supply capacities is less than the sum of demands, so a dummy wholesaler is needed. b. What is the total cost of the solution? The optimal cost is $ ((Enter your response rounded to the nearest dollar.)

Chapter 5: Food Goblin Supermarkets use both cashiers and baggers to serve customers at check out. During the peak hours, 8 cashiers and 6 baggers serve approximately 75 customers per hour. On average, a cashier spends 6 minutes at checkout and a bagger spends 4 minutes at bagging to serve a customer. Calculate the utilization of cashiers and their capacity cushion during a peak hour?

2.) Your business provides technical support for very complex and specialized machinery used by companies throughout the country, and you currently have support centers at 5 locations. However, due to a poor market, you have been forced to close your centers in Houston and San Diego. You will have to relocate all of your technicians in these two centers to your other three centers in Cleveland, Seattle, and Charlotte. Due to the varying costs of living in each city, and travel and retraining times, the cost for relocating an employee varies depending on where the employee is moving. These costs are given in the following table: To: From: Cleveland Seattle Charlotte $5,000 | $7,000 $7,000 $4,000 $6,000 $8,000 Houston San Diego You currently have 40 employees in Houston and 55 employees in San Diego, which all need to be relocated. Cleveland is able to take in at most 35 relocated employees, Seattle can take in at most 32 employees, and Charlotte is able to take in at most 50 employees.…

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.