A fruit juice manufacturer has recently begun negotiations with brokers in the areas where it intends to distribute its products. Before finalizing the agreements, however, the manager wants to determine shipping routes and costs. The firm has three plants with the capacities as shown below: Estimate demands in each of the warehouse localities are: PLANT CAPACITY (BOXES PER WEEK) WAREHOUSE DEMAND (BOXES PER WEEK) 1 2 3 25,000 45,000 30,000 The estimated ship cost per box for the various routes are: ΤΟ FROM A B с D I 1 2 4 5 2 2 3 3 2 3 4 2 1 A B C D 10.000 20,000 40.000 20.000 Supply

Given the dataset of a supply network in the following table: Location X co-ordinates Y co-ordinates Supply or demand Site 1 61 44 40 Site 2 12 16 Site 3 38 26 76 Site 4 6 22 72 63 22 54 Supplier 1 Supplier 2 26 8 77 18 62 37 Supplier 3 Supplier 4 8 65 43 Supplier 5 43 36 26 Supplier 6 8 41 68 a. Calculate the Euclidean distance from every potential site to every supplier b. Calculate the load-distance value for every potential site. c. Conclude on the best site with the lowest load-distance value.

Determine the suitable location of a distribution centre with the below data, minimizing the transportation dollars spent on managing inbound and outbound shipments. Plot the location of the Vendors, Customers and the location of the new DC in a chart Vendor V1 V2 V3 V4 Customer C1 C2 C3 C4 Rate $ per Ton Mile $ $ $ $ 4.75 3.75 3.15 4.75 Rate $ per Ton Mile $ $ $ $ 3.50 3.75 4.25 5.00 Volume in Tons 1000 1000 1600 1400 Volume in Tons 760 640 800 500 Vendor Location Coordinates (miles) Horizontal 525 600 412.5 300 Vertical 300 750 750 630 Customer Location Coordinates(miles) Vertical 450 900 1050 975 Horizontal 900 900 825 1050

Three orchards supply crates of oranges to four retailers. The daily demand amounts at the four retailers are 150, 150, 400, and 100 crates, respectively. Supplies at the three orchards are dictated by available regular labor and are estimated at 150, 200, and 250 crates daily. However, both orchards 1 and 2 have indicated that they could supply more crates, if necessary, by using overtime labor. Orchard 3 does not offer this option. The transportation costs per crate from the orchards to the retailers are given in Table 5.27.   Formulate the problem as a transportation model. Solve the problem. How many crates should orchards 1 and 2 supply using overtime labor? Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure