: x v fx C DE в F G H K M Consider the linear distribution and the from-to diagram shown in the figure. Assuming that the goal is to minimize the total distance traveled, determine the final distribution recommended by CRAFT using the peer-to-peer trading method. 30 m 30 m from A A B A 2 6 B 3 A В 80 m 20 m
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- An entrepreneurial resident of the Oklahoma City metropolitan area is interested in securing a new franchise for Mad Over Donuts. Ideally this franchise would be centrally located so delivery could be economically handled and all citizens could enjoy fresh, delicious donuts delivered to the doorstep. The main cities and anticipated demand (in thousands per day) are shown in Table 2. What is the appropriate (non-linear) objective function for this scenario (hint: distances are euclidean)? Zoey’s Catnip Toys faces the following relationship between price (p) and demand (v): v = 2000 − 200p. The fixed cost is $500 and variable cost is $1. Write an expression for the total profit. What price should Zoey charge to maximize profit in question b.?The distribution of daily demand for rental trucks at a vehicle rental company is shown in the following table: Relative Frequency Demand 0.07 0 0.14 1 0.15 2 0.14 3 0.12 4 0.08 5 0.3 6 Trucks are rented by the day only and the company makes $14 per rented truck per day. The rental company keeps four trucks at this location. Assuming that the stocking decision is optimal, what is the implied range of excess cost per truck per day? a. 0 and 186 b. 8.58064 and 14 c. 14 and 24.8889 d. 6 and 8.58064 e. 34.2759 and 79.33331. Consider the following transportation tableau with three origins and three destinations. To From Windhoek Gobabis Walvis Bay Supply Rundu 4 10 6 100 Oshakati 8 16 6 300 Katima Mulilo 14 18 10 300 Demand 200 300 200 Required Marks Sub total Total Use the Vogel Approximation method (VAM) to find an initial feasible solution? 20 20 To
- A trucking firm handles four commodities for a particular distributor. Total shipments for the commodities in the years 2000 and 2015, as well as the prices in the year 2000, are reported in the following table. Commodity Shipments Price/Shipment2000 2000 2015 A 120 90 $1,200 B 86 73 $1,800 C 35 50 $2,000 D 60 70 $1,500 Develop a weighted aggregate quantity index with a 2000 base. (Round your answer to the nearest integer.) I2015 = ______Oranges are grown, picked and then stored in warehouses in Tampa, Miami, and Fresno.Theses warehouses supply oranges to markets in New York, Philadelphia, Chicago, and Boston.The following table shows the shipping costs per truckload (in hundreds of dollars), supply, anddemand. Because of an agreement between distributors, shipments are prohibited from Miamito Chicago:To (cost, in $100)From New York Philadelphia Chicago Boston SupplyTampa 9 14 12 17 150Miami 11 10 6 10 250Fresno 12 8 15 7 200Demand 110 250 140…1. Explain the meaning of the expected value of perfect information (EVPI) in this problem. Based on the results of (iii) and (iv), which investment would you choose? 2. Compute the coefficient of variation, the return-to-risk ratio (RTRR) for each investment. Based on (vii) and (viii), what investment would you choose? Compare the results of (vi) and (ix) and explain any differences
- Find an initial basic feasible solution for a given transportation problem by using Vogel's approximation method D1 D2 D3 D4 Supply S1 11 13 17 14 250 S2 16 18 14 10 300 S3 21 24 13 10 400 Demand 200 225 275 250Consider a supply chain with a manufacturer (M) and a retailer (R). The manufacturer produces a product A at a cost of c = $50. The manufacturer offers the product to the retailer at a wholesale price of w = $70, and fixes the sale price to p = $90. The market demand is normally distributed with mean of 10,000 units and standard deviation of 1000. Answer the following questions: a. What is the optimal order quantity for the retailer? b. What is the optimal order quantity if the wholesale price is changed to $60? Does the optimal order quantity increase or decrease compared to 1a? Why? c. What is the optimal order quantity if the wholesale price is changed to $80? Does the optimal order quantity increase and decrease compared to 1a? Why? d. If the actual market demand is equal to the mean demand, then what are the profits of the manufacturer and the retailer?Case Located in the south of Turkey, Alanya Ice Cream Company produces and distributes 30 different ice creams. The products are distributed by the company itself, using their refrigerated truck fleet, to the hotels in Alanya. Its annual turnover is currently around 10 million TL. It is distributed among the hotels as indicated in Table 1. The company controls about 35% of the market, but this decreases below 10% in the countryside of Alanya where there are many smaller competitors. The company typically keeps stock in its central cold storage warehouses for up to four weeks to meet the distribution requirements of its six major customers. The operation of cold storage costs approximately 5000 TL per month. Storage costs are a significant expense, especially during the winter months when consumer demand is significantly reduced. Moreover, in summer, demand is sensitive to temperature. Therefore, the company estimates its sales based on increases in real spendable income. The Company…
- Suppose it costs $10,000 to purchase a new car. Theannual operating cost and resale value of a used car areshown in Table 4. Assuming that one now has a new car,determine a replacement policy that minimizes the net costsof owning and operating a car for the next six years.Answer the given question with a proper explanation and step-by-step solution. An E-commerce firm has four regional fulfillment centers (warehouses). Weekly demand for an item (Product_A) at each warehouse is random and is normally distributed with a mean of 10,000 per week and a standard deviation of 2,000 units per week. Product_A’s unit cost is $10. The inventory holding cost of the company is 25% per year. Assume 50 weeks per year. Each replenishment order from the supplier of Product_A costs $1,000, which includes the costs associated with placing the order, transportation, receiving, inspection, and put-away labor expenses. The replenishment lead time from the supplier is 1 week. The company’s service level goal is 95% (probability of having sufficient inventory to meet demand). On average, how long does a unit of inventory spend in the warehouse before being sold? Hint: Think Little's Law 2.5 weeks 6.6 weeks 5.3 weeks 1.3 weeksThe Fish House (TFH) in Norfolk, Virginia, sells fresh fish and seafood. TFH receives daily shipments of farm-raised trout from a nearby supplier. Each trout costs $2.45 and is sold for $3.95. To maintain its reputation for freshness, at the end of the day TFH sells any leftover trout to a local pet food manufacturer for $1.25 each. The owner of TFH wants to determine how many trout to order each day. Historically, the daily demand for trout is: Demand 10 11 12 13 14 15 16 17 18 19 20 Probability 0.02 0.06 0.09 0.11 0.13 0.15 0.18 0.11 0.07 0.05 0.03 a. Construct a payoff matrix for this problem. b. How much should the owner of TFH be willing to pay to obtain a demand forecast that is 100% accurate? give a clear explanation for (b)