Chapter $12$ Linear Optimization Models

Develop a linear programming model that will assist Windsor Power in determining how to best buy, store or sell electricity for the next $10$ periods based on the LMP$.$ Assume that the battery is half full at the beginning of period $1.$ That is$,$ at the start of the planning horizon, the battery contains $40$ kWh of electricity. It costs $\backslash (\backslash$$ $1\backslash )$ to hold $1$ kWh in the battery per period. define all decision variables, objective function, and problem constraints clearly through excel.