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Axe Ski Shop has five large retail stores across three western states. They operate a central warehouse that receives their clothing, ski equipment, and snowboard

Axe Ski Shop has five large retail stores across three western states. They operate a central warehouse that receives their clothing, ski equipment, and snowboard equipment from various wholesalers. (The central warehouse also has offices for the Axe system employees.) Each retail location currently sends weekly orders to the central warehouse and the warehouse then sends a truck to each location with their weekly orders. This past season was a disaster. Several of the retail locations regularly ran short on ski and snowboard boots, one of the retail locations had excess clothing inventory all winter long, and customers special requests to the warehouse either were ignored or were received late. In some cases the items would show up on the weekly delivery but were wrong sizes. Overall, customer satisfaction dropped and online reviews of their stores has reached an all-time low.

To fix these issues Axes central management has decided to install a company-wide communication system for their inventory so all five retail locations and the central warehouse can see inventory levels by SKU at all locations. Orders to the warehouse will be automatically generated based on inventory levels which will alleviate several of the issues described above. This new system will also let the retail locations request items shipped from store to store as needed to meet customers special requests.

The communication system will be rolled out incrementally to each location over the spring/summer months (shown in Table 1), starting with the warehouse, so that the system is fully functioning by August. Axe wants to purchase and install the optimum number of servers required to run the system but isnt sure whether they need to install all servers in March or if they can install the servers incrementally as well. The number of employees at each location dictates when server capacity is needed, shown in Table 2. Ultimately, the system needs to handle all company employees. There is variation in server capacity, shown in table 3 below.

Additional cost and budget information includes a maximum budget of $18,000 total for the months of March and April. A discount during these same months is available on the workstation servers (10%) and the full rack servers (25%). Any servers purchased during May-July will not receive a discount.

  1. Set up and solve five different optimization spreadsheet models to determine how many servers to purchase during each month, March-July. Answer the following questions:
    1. How many of each server is purchased and when?
    2. What is the total capacity, in number of employees, of the system?
    3. What is the total cost if this purchase schedule is followed?

Table 1

March

April

May

June

July

Central Warehouse

Denver

Salt Lake

Colorado Springs

Bozeman

Boise

Table 2

Location

# of Employees

Central Warehouse

50

Denver

200

Salt Lake

180

Colorado Springs

75

Bozeman

35

Boise

30

Table 3

Type of Server

Number of Employees Supported

Cost of Server

MiniDesktop

Up to 30

$3000

Desktop

Up to 80

$5500

Workstation

Up to 200

$12000

Full Rack

Up to 1000

$25000

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