Due to increased sales, a company is considering building three new distribution centers (DCs) to serve four regional sales areas. The annual cost to operate DC 1 is $500 (in thousands of dollars). The cost to operate DC 2 is $600 (in thousands of dollars.). The cost to operate DC 3 is $525 (in thousands of dollars). Assume that the variable cost of operating at each location is the same, and therefore not a consideration in making the location decision.   The table below shows the cost ($ per item) for shipping from each DC to each region.   Region DC A B C D 1 1 3 3 2 2 2 4 1 3 3 3 2 2 3   The demand for region A is 70,000 units; for region B, 100,000 units; for region C, 50,000 units; and for region D, 80,000 units. Assume that the minimum capacity for the distribution center will be 500,000 units.   Write the constraints for the three distribution centers.

Recently, Walmart offered a wireless data contract based on bandwidth used, with a minimummonthly charge of $45 for up to 5 gigabytes (GB) of use. Additional GB can be purchased at the following rates: $12 for an additional 1 GB, $30 for an additional 3 GB, and $40 for a capacity of 10 GB.What is the cost for a user who is expecting to use 9 GB?

Hudson Corporation is considering three options for managing its data processing operation: continuing with its own staff, hiring an outside vendor to do the managing (referred to as outsourcing), or using a combination of its own staff and an outside vendor. The cost of the operation depends on future demand. The annual cost of each option (in thousands of dollars) depends on demand as follows:     Demand Staffing Options High Medium Low Own staff 600 550 350 Outside vendor 900 650 450 Combination 700 600 400     a. If the demand probabilities are 0.4, 0.25, and 0.35, which decision alternative will minimize the expected cost of the data processing operation? Own Staff What is the expected annual cost associated with that recommendation? If required, round your answer to the nearest thousand of dollars.     Expected annual cost = $  ___________

In this problem, your company is a distributor of products. You serve as an inventorymanager for the regional distribution center (DC) here in the Atlanta area. In this role,you schedule the purchase and shipment of products from various suppliers inbound to theAtlanta DC. Once you receive the products at the DC, they are stored in inventory untilthey are picked, packed, and shipped outbound to your company’s downstream customersin response to orders.For each of your products, you currently use a single, dedicated supplier. Each of yoursuppliers ships their products to you from their facility using trucking services, and theyprovide you with choices of different LTL or truckload trucking carriers depending on yourshipment size.Consider managing inventory now for product 101 produced by Supplier A. Currently,you face demand for product 101 of about 200 units per week. Each unit of product 101has a purchase cost p of $500 and you decide to value your inventory at the slightly higherrate…