4. A company imports goods at two ports: Philadelphia and New Orleans. Shipments of one product are made to customers in Atlanta, Dallas, Columbus, and Boston. For the next planning period, the supplies at each port, customer demands, and shipping costs per case from each port to each customer are as follows: Customers Port Philadelphia New Orleans Demand Atlanta 2 1 1400 Dallas 6 2 3200 Columbus 6 5 2000 Boston 7 1400 c. Solve the linear program to determine the optimal solution. d. Discuss the distributions from the Port to the customers. Port Supply 5000 3000 a. Develop a network representation of the distribution system (transportation problem). b. Develop a linear programming model for the problem; be sure to define the variables in your model.
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- Phylis Ltd has the following transactions in respect of its goods during Dec 2015. Opening stock 78 units @ GH¢25 Dec 5 bought 250 units @ GH¢24 Dec 10 sold 175 units @ GH¢95 Dec 11 bought 140 units @ GH¢26 Dec 12 sold 200 units @ GH¢48 Dec 15 paid for printing GH¢7,200 Dec 16 bought 400 units @ GH¢20 Dec 22 sold 140 units @ GH¢85 Dec 22 commission to sales Executives GH¢ 20,000 Dec 23 sold 155 units @ GH¢40 Additional information; 1. The cost of carrying a unit material inwards was agreed at GH¢1.5 2. Out of the general administrative expenses of GH¢15,200 only GH¢3,700 had been paid during December. 3. The goods sold on December 23rd only 20% has been collected by the company as at close of the year-month 4. The outstanding balance of GH¢7,100 was paid on the 20th January 2021 You are required to: a. Write up the stores ledger card using the weighted average method of stock valuation. b. Prepare trading, profit and loss…A pharmaceutical company sells 78 different products. The distribution of annual sales amounts last year for these products is as follows. Number of Products 100 90 80 70 60 50 40 30 20 10 0 0 5,17 301 37 50 75,61 100 150 Annual Sales ($000) 200, 78 200 250 Approximately what percentage of the products had annual sales of less than $80,000 last year? OA. 62 O B. 79.5 OC. 38 O D. 20.5 OE. None of the above1. Three restaurants are making 3 types of dishes in different prices as the following table shows (in OR) Book stores Romantic novel Science novel hostorical novel restaurant A 2 5 1 restaurant B restaurant C 3 3 2 4 3 1 If each restaurant buys a certain number of dishes in each type as the following table show Arabian D+ 0.6 D=7 Indian F + 1.1 F=7 Аmirican C +0.5 C=2 Which restaurant will earn higher revenue, show your steps?
- M/S JLK traders purchase a certain type of product from three manufacturing units in different places and sell the same to five market segments. The cost of operating and income from the trading place to market centers in Rs. per 100 units is given below: Place of Manufacture. Availability In units x 10000. Manufacturing cost in Rs. per unit Market Segments. (Income in Rs. Per 100 units). 1 2 3 4 5 Badulla (B) 120SK(*) 40 140 130 120 125 135 Colombo (C) 150,000 50 130 150 170 125 140 Hambantota (H) 50,000 30 150 130 160 155 140 Requirement in units × 10000 6 6 8 8 4 (*) if SK =1000: 120SK=120 X1000=120,000 The trader wants to decide which manufacturer should be asked to supply how many to which market segment so that the total profit is maximized using the knowledge of Transportation modelingCompute the average time it takes to sell a car in the country discussed below. A high-end luxury car manufacturer sells 22,000 cars per year to four dealerships in four regions of a country. Assume 50 weeks per year. Out of this total sale, 30% of the cars are sold in North-Region, 23% are sold in East-Region, 11% are sold in West-Region, and the rest are sold in South-Region. On average there are 1,000 cars of this manufacturer in all dealerships. Out of this total inventory, 19% of the cars are in the dealership in North-Region, 30% is in East-Region, 11% is in West-Region, and the rest is in South-Region..For the Hawkins Company, the monthly percentages of all shipments received on time over the past 12 months are: Monthly Proportion of All Shipments Received On Time 80 81 85 83 84 86 85 85 82 81 85 84 Estimate the average of MSE of a three-month moving average and an exponential smoothingfor α = 0.3. Group of answer choices 1.24 2.4 3.56 4.25 4.58
- Intercontinental hotel has over 200 hotels in 75 countries. Intercontinental is known for its luxurious rooms and buildings and for the high quality of its staff training. The hotels are not the standardized, but they reflect local styles and circumstances. For example, the Intercontinental in Lusaka, Zambia has a dinning room which is open to the gardens and swimming pool on one side so the guests effectively eat in the open air. This would obviously be impossible in a colder climate, but guests enjoy the tropical atmosphere and the hotel is often used for business meetings as a result. Intercontinental provides up-market accommodation for international travelers. The bulk of the guests are business people so the hotels provide excellent business facilities, including meeting rooms, conference centers, secretarial services, fax machines, internet facilities and a concierge desk. For people staying at these hotels, cost is very much less important than the level of service comfort. A…Maximize 8x + 9y Subject to -- x + 2 y 0 a) Solve using simplex methodProblem 1. The number of salespeople assigned to work during a shift is apportioned based on the average number of customers during that shift. Apportion 20 salespeople given the information below. Shift Morning Midday Afternoon Evening The average number of customers 95 305 435 515 Determine the apportionment using Hamilton’s Method Jefferson’s Method Webster Method Huntington-Hill Method
- 3. Consider the transportation problem having the following parameter table: Source Demand Source 1 Source 2 650 Source 3 400 1 2 3 Destination 1 Destination 2 500 750 Demand 10 Vj Assume we have obtained an initial BF solution from northwest corner method, it is: X11 = 10, X12 = 2, X22 = 8, X23 = 9, So the initial transportation simplex tableau looks like below. (Boxed values are cost values, X33 = 1, X34 = 10 circled values are basic variable values.) V₁ = Destination 2 750 800 700 10 1 500 650 400 10 10 800 700 10 ܠ ܕܐ 2 3 300 400 500 10 8 400 500 Destination 3 Destination 4 300 450 10 4 450 600 550 10 9 1 600 Supply 12 550 10 V₁ = 17 11 (10 Supply 12 17 11 Ui U₁² 0 = U₂ = Uz = Do the optimality test (by finding out all u₁, v₁, and čij values, fill all these values in the above table) to determine if the current solution is optimal or not.Hassan owns a company that manufactures sailboats. Actual demand for Hassan's sailboats during each season in 2006 through 2009 was as follows; YEAR Season 2006 2007 2008 2009 Winter 1,400 1,200 1,000 900 Spring 1,500 1,400 1,600 1,500 Summer 1,000 2,100 2,000 1,900 Fall 600 750 650 500 Hassan has forecasted that annual demand for his sailboats in 2011 will equal 5,600 sailboats. Based on this data and the multiplicative seasonal model, what will the demand level be for Hassan's sailboats in the spring of 2011?Timely Transport provides local delivery service for a number of downtown and suburban businesses. Delivery charges are based on distance and weight involved for each delivery: 10 cents per pound and 15 cents per mile. Also, there is a $10 handling fee per parcel.a. Develop an expression that summarizes delivery charges.b. Determine the delivery charge for transporting a 40-pound parcel 26 miles.