Linear Programming Excel Solver Examples

What this does

Solver is an optimiser: you give it a target cell, a set of cells it may change, and constraints, and it finds the values that maximise, minimise or hit a target. It ships with Excel but is off by default. It goes further than Goal Seek, which changes one input to hit one target with no constraints. Three solving methods are offered: Simplex LP for linear problems (fastest and guaranteed optimal), GRG Nonlinear for smooth curved ones, and Evolutionary for problems with IF, VLOOKUP or other non-smooth logic. Choosing Simplex LP on a nonlinear model produces an error; choosing GRG on a nonlinear model finds a local optimum that depends on the starting values. The same idea underpins a lot of everyday Excel work, so the few minutes spent getting it right here pay back across every sheet you build afterwards. Treat it as a pattern, not a one-off, and it stops being something you look up and starts being something you reach for. The difference between a quick fix and a sheet you can trust is the extra minute you spend validating “linear programming excel solver examples”. Start on a copy or a tiny sample, keep the affected cells visible, and compare the result with the tool above before you touch the real workbook. When this is a ribbon command, the selection matters more than the button: confirm the range, apply the command, then spot-check the output before saving. The point is a calculation you can defend to a CFO or an auditor, but the practical win is that someone else can open the file and understand what happened without asking you.

A worked example

A production mix: profit per unit in B2:C2, hours per unit in B3:C3, total hours available 400 in E3. Units to make sit in B5:C5 (currently 0) and total profit in E5 as =SUMPRODUCT(B2:C2,B5:C5). Data ▸ Solver ▸ Set Objective: $E$5 ▸ To: Max ▸ By Changing Variable Cells: $B$5:$C$5 ▸ Add constraints: $E$3<=400 and $B$5:$C$5>=0, tick "Make Unconstrained Variables Non-Negative" ▸ Select a Solving Method: Simplex LP ▸ Solve. Solver writes the optimal units into B5:C5. Product mix, staff rostering, blending, transport routing and portfolio allocation are all the same shape of problem, and Solver answers them in one dialog instead of a week of trial and error. A practical tip: try it on a copy of the sheet or a handful of sample rows first and check the result before you apply it to the real data. That one habit catches almost every surprise while it is still cheap to reverse.

In Google Sheets

This is a command rather than a formula, so there is no syntax to carry over. Google Sheets arranges its commands in menus across the top instead of a ribbon, names some of them differently and does not have every Excel command — look for the equivalent in the Sheets menus or its help before assuming the steps match. The aim was to get you unstuck fast and leave you a little more capable than a copy-paste would. The answer is at the top and the detail above shows why it holds — so the next time a colleague asks, you can answer without reaching for search. The short version of “linear programming excel solver examples”: the answer is at the top of this page, and the sections above explain why each step matters, so a variation of the problem does not stump you. Try it once on a copy of a real file and the steps stick far better than re-reading them.

Common mistakes

• Putting a formula in a changing cell — Solver overwrites it with a number and the model breaks.
• Choosing Simplex LP for a model containing IF, MAX or a lookup, which reports that the linearity conditions are not satisfied.
• Leaving out a non-negativity constraint and getting an "optimal" answer that makes minus 300 units.
• Accepting a GRG Nonlinear result as the global optimum; it finds a local one, so re-run from different starting values.
• Expecting Solver in Excel for the web or on mobile, where the add-in does not exist.

Frequently asked questions