Help me with the following linear programming problem

You as operations manager are asked to do production planning for 3 different products P1, P2 and P3. The sales forecasts for the next months of 2020 are:

It is known that the inventory at the end of July for product P1 is 1,000, for product P2 it is 2,500 and for product P3 it is 1,500. At the end of planning, you want to have at least 3,000 P2 units. The storage costs are for P1 of Q2, for P2 of Q1.50 and for P3 of Q1 and since the plant has a reduced space the quantity of products stored cannot exceed 6500 units per month and the maximum production capacity that the plant has is P1 = 5000, P3 = 4000 and P3 = 6500, if you want to minimize inventory costs, perform the linear programming model.

Product August 2500 September 7000 October 7000 November 5800 P1 P2 8000 6000 9000 5800 P3 6000 6500 8000 5000 Product August 2500 September 7000 October 7000 November 5800 P1 P2 8000 6000 9000 5800 P3 6000 6500 8000 5000