Question: can someone help me find this solution? Problem Description The aim of this project is to create a decision support system that will help the

 can someone help me find this solution? Problem Description The aim

can someone help me find this solution?

Problem Description The aim of this project is to create a decision support system that will help the process of scheduling production in a manufacturing environment. We present here a simple example that demonstrates the challenges faced by the managers of a wood furniture manufacturing company when preparing a production schedule. The company produces a number of products such as different designs of wood desks, chairs, drawers, etc. The raw material used in the production process is oak wood. In the process of producing the final product, the raw materials (wood logs) have to go through a number of machineries. Not every machine is used in the process of producing a particular product. There is a limitation in the number of products that can be processed in each machine because of capacity constraints. There are limitations in the availability of raw materials, and finally there are limitations in the total number of final products produced because of the storage space. The managers are concerned about allocating the resources available (raw material and machines) to final products. Since demand for their products has been growing lately, the managers are interested in identifying ways to increase production. The following are alternatives they want to explore: increase the amount of raw materials available in the case that machines are not fully utilized, buy new machines, rent more space, etc. Below we present a mixed-integer programming model that solves this resource allocation problem. Mixed-Integer Programming Model We use the following notation: Mj k. Cl. S). k tg : ui. the production capacity of machine j (in working hours) the total amount of raw material available the cost of manufacturing one unit of product i the fixed cost to set up machine j the amount of raw material required to produce one unit of product i the total amount of processing time of product i on machine j the upper bound on the total amount of product i produced. The decision variables are as follows: xi the total number of product i produced. y] a binary variable equal to 1 if machine j is set up and 0 otherwise. min:i=1Pcixi+j=1nsjyjSubjecto:i=1PtijxiMjyjj=1,,ni=1Plixi=k0xiuiyj{0,1}i=1,,P,j=1,,n The objective is to minimize the total production costs, manufacturing costs, and machine setup costs. The first set of constraints shows that the total amount of time machine j is used should be less than the corresponding production capacity. The second set of constraints shows that the raw material available should be used. The third set of constraints shows that there is an upper bound on the amount of product i produced. Excel Spreadsheets 1. Build a spreadsheet that presents the unit manufacturing costs and the production upper bound for product i(i=1,,P). 2. Build a spreadsheet that presents the fixed set-up costs and production capacity for machine j(j=1,,n). 3. Build a spreadsheet that presents the amount of raw material used to produce one unit of product i(i=1,,P). 4. Build a spreadsheet that presents the total amount of processing time product i requires on machine j(i=1,,P;j=1,,n)

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