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To find the optimal solution, we simply click on the Solve button. (Click on the image to see it full-size.) Frontline's Premium Solver products can emulate either style, and they also offer a new Ribbon-based user interface. This is the Excel Solver dialog from Excel 2010 the Solver in earlier versions of Excel have similar elements. When we've completely entered the problem, the Solver Parameters dialog appears as shown below. (Alternatively, we can check the Make Unconstrainted Variables Non-Negative option in the Solver Parameters dialog.)
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We choose the Add button again (either from the Add Constraint dialog above, or from the main Solver Parameters dialog) to define the non-negativity constraint on the decision variables. (Click on the image to see it full-size.)
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To add the constraints, we click on the Add button in the Solver Parameters dialog and select cells F8:F11 in the Cell Reference edit box (the left hand side), and select cells G8:G11 in the Constraint edit box (the right hand side) the default relation <= is OK. In the By Changing Variable Cells edit box, we type B4:E4 or select these cells with the mouse. In the Set Objective (or Set Target Cell) edit box, we type or click on cell F5, the objective function. To let the Excel Solver know which cells on the worksheet represent the decision variables, constraints and objective function, we click Solver button on the Excel Data tab, or the Premium Solver button on the Add-Ins tab, which displays the Solver Parameters dialog. This solution uses all the resources available.Using Excel's Built-In Solver - Product Mix Example Understanding the Excel Solver Dialogs This solution gives the maximum profit of 25600. Check 'Make Unconstrained Variables Non-Negative' and select 'Simplex LP'.Ĭonclusion: it is optimal to order 94 bicycles and 54 mopeds. Click Add to enter the following constraint.Ħ. Enter OrderSize for the Changing Variable Cells.ĥ. You have the choice of typing the range names or clicking on the cells in the spreadsheet.Ĥ. The result should be consistent with the picture below. On the Data tab, in the Analyze group, click Solver.Įnter the solver parameters (read on). To find the optimal solution, execute the following steps.ġ. We shall describe next how the Excel Solver can be used to quickly find the optimal solution.
#Excel solver function numerically trial
It is not necessary to use trial and error. This solution has a total profit of 19000. With this formulation, it becomes easy to analyze any trial solution.įor example, if we order 20 bicycles, 40 mopeds and 100 child seats, the total amount of resources used does not exceed the amount of resources available. Total Profit equals the sumproduct of UnitProfit and OrderSize. The amount of storage used equals the sumproduct of the range C8:E8 and OrderSize. Insert the following three SUMPRODUCT functions.Įxplanation: The amount of capital used equals the sumproduct of the range C7:E7 and OrderSize. To make the model easier to understand, create the following named ranges. What is the overall measure of performance for these decisions? The overall measure of performance is the total profit of the three products, so the objective is to maximize this quantity.Ģ.
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For example, each bicycle uses 300 units of capital and 0.5 unit of storage.Ĭ. What are the constraints on these decisions? The constrains here are that the amount of capital and storage used by the products cannot exceed the limited amount of capital and storage (resources) available. What are the decisions to be made? For this problem, we need Excel to find out how much to order of each product (bicycles, mopeds and child seats).ī. To formulate this linear programming model, answer the following three questions.Ī. The model we are going to solve looks as follows in Excel.ġ. You can find the Solver on the Data tab, in the Analyze group. Under Add-ins, select Solver Add-in and click on the Go button.Ĥ.