Coordination of pricing, advertising, and production decisions for multiple products

We address a decision problem of a profit-maximising firm which produces multiple products on the same equipment and markets them as different brands. The firm has to choose the prices of each of the product in each period, allocate advertising budget to the products, and decide a production schedule such that it maximises its profit. We formulate and solve this problem in discrete-time setting with capacity constraints and setup costs. Using real world data from a manufacturer, we create problem instances, for different demand scenarios at different capacities, and solve for optimal prices, advertising, and lot sizing. We demonstrate that the firm can significantly increase its profitability by coordinating marketing and operational decisions.