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2. (50 points) Set up the following as a goal programming problem and solve it by using QM for Windows. The Cash Management department in
2. (50 points) Set up the following as a goal programming problem and solve it by using QM for Windows. The Cash Management department in the National Commercial Bank in Jeddah has two potential products. The first product is called AlahlieCorp and the second product is called Cash pickup. The clients to the cash management products are divided into two segments that are segment A clients and segment B clients. The cash management needs 70 clients of segment A and 40 clients of segment B in order to release AlahlieCorp to the market and gain profits. On the other hand, they need 20 clients of segment A and 15 clients of segment B in order to release the Cash Pickup to the market. However, there are only 1,000 clients of segment A and 1,800 clients of segment B available to the Bank in Jeddah. The profit from AlahlieCorp is SAR 2,500 and from the Cash pickup is SAR 1,200. The Cash Management objectives in order of their priority are: (1) Offer at least 25 Cash pickups. (2) Achieve a target profit of at least SAR 150,000. (3) Utilize all of the segment A clients available. (4) Utilize all of the segment B clients available
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