Find the shortest route for a delivery truck going from the PLANT, to the warehouse, then delivery to points 3, 4, and 5 (can be interchanged), and back to the plant again. Plant 100 200 3 50 200 100 40 5 150 100 100 6 Warehouse
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- The following table gives the map coordinates and the shipping loads for a set of cities that we wish to connect through a central hub. Using the Center of Gravity method, near which map coordinates should the hub be located? STORE LOCATION CONTAINERS SHIPPED PER MONTH X Y Chicago 2,000 50 120 Pittsburgh 1,000 110 100 New York 3,000 160 130 Atlanta 2,000 120 40A manufacturer has two shipments to make from Minneapolis to Chicago. Both shipments weigh 8500 pounds. The two shipments can be shipped separately to Chicago at a cost of $2.00 per mile for a total of 409 miles and will take one day for each shipment. The company has a warehouse in Milwaukee where they can consolidate the freight. It would take two LTL shipments at $2.00 per mile to get the freight to Milwaukee for 337 miles and then one full TL shipment from Milwaukee to Chicago at $1.50 per mile for 92 miles. The consolidation cost in Milwaukee is $200 and it takes two days for the trip through Milwaukee. What is the lowest cost to ship the freight and which approach would you select?Moonlight Company aims to minimize the distance travelled in miles from the office to its construction sites. Its objective function is provided below. Using the objective function below, draw the network for Moonlight Company and find the shortest route. At the bottom of your drawing, write the shortest route.
- Val’s Pizza is looking for a single central location to make pizza for delivery only. This college town is arranged on a grid with arterial streets, as shown in Figure. The main campus (A), located at 14th and R, is the source of 4,000 pizza orders per week. Three smaller campuses (B, C, and D) are located at 52nd and V, at 67th and Z, and at 70th and South. Orders from the smaller campuses average 1,000 pizzas per week. In addition, the State Patrol headquarters (E) at 10th and A orders 500 pizzas per week.a. At about what intersection should Val start looking for a suitable site? (Estimate coordinates for the major demands accurate to the nearest one-quarter mile, and then find the center of gravity.)b. What is the rectilinear weekly load–distance score for this location?c. If the delivery person can travel 1 mile in 2 minutes on arterial streets and ¼ mile per minute on residential streets, going from the center of gravity location to the farthest demand location will take how long?how many warehouses and DCs are operated by Best Buy, Target, or another large retailer. What is the ratio of DCs and warehouses to the number of retail stores for each of these? What factors affect this ratio?Rent’R Cars is a multisite car rental company in Huntsville/Madison area. It is trying out a new “return the car to the location most convenient for you” policy to improve customer service. But this means that the company has to constantly move cars around the city to maintain required levels of vehicle availability at the renting facility. The supply and demand for economy cars, cost of moving vehicles between sites per vehicle are shown below. From / To D E F G Supply A $9 $8 $6 $5 50 B 9 8 8 0 40 C 5 3 3 10 75 Demand 50 60 25 30 a.)Draw a diagram by showing supply points, demand points, and connecting arcs. b.)Define variables, write the objective function and constraints. c.)Prepare an initial Excel worksheet, check your formulas, and save it. d.)Complete solver parameters, copy it, and save as a file.
- Suppose that you are an engineer tasked with finding a new location for your distribution center (let's say you work as an industrial engineer at a cosmetics company). You have a good idea of who your customers are and how many tons of cosmetics you must ship per week. Using your company headquarters as the origin, you plot out the following table: Customer x-location (miles) y-location (miles) Quantity (tons/week) JC Penney 10 280 3 BB&B 70 180 7 Target 80 160 4 Bath&Body Works 170 20 5 Walmart…Why is it generally better to centrally locate receiving and shipping doors?Solve the following case study using the transportation method:Suppose there is a manufacturing company that produces and distributes its products to various customer locations across the country. This company has three production plants (Plant A, Plant B, and Plant C) located in different locations, and there are also five distribution centers (DC 1, DC 2, DC 3, DC 4, and DC 5) scattered across various regions. Sources Distribution Center DC 1 DC 2 DC 3 DC 4 Capacity Plant A $145 $150 $165 $140 2000 Plant B $175 $135 $120 $165 1250 Plant C $113 $156 $134 $148 1250 Demand 1000 1200 1400 900 The company's goal is to determine the most efficient transportation routes for delivering products from the plants to the distribution centers, considering transportation costs and available capacities.
- For each alternative new plant location, determine the shipping pattern that will minimize total transportation costs. Where should the new plant be located? Plant Capacity (Cases per Week) Warehouse Demand (Cases per Week) Chicago 10,000 Miami 7,000 Houston 7,500 Denver 9,000 New plant 8,000 Lincoln 4,500 Total 25,500 Jackson 5,000 Total 25,500 Shipping Cost to Warehouse (per Case) Plant Miami Denver Lincoln Jackson Chicago $7.00 $2.00 $4.00 $5.00 Houston $3.00 $1.00 $5.00 $2.00 Buffalo (alternative 1) $6.00 $9.00 $7.00 $4.00 Atlanta (alternative 2) $2.00 $10.00 $8.00 $3.00If the amount of fabric shipped to each plant is equal, what is the optimal location for the fabric plant? Show your computationWe have four major customers, and want to find the location that minimizes the average distance traveled to deliver products to them. Customer X coord Y coord Demand A 10 10 100 B 15 40 20 C 35 12 20 D 38 40 150 What is the optimal X coordinate for our location?