Automobile manufacturers plan the production of their orders on different planning horizons; the production plan has to be coordinated with supply, inbound and outbound logistics, typically done sequentially. Car manufacturers have tried to establish a horizontal integration of these processes in recent years. Horizontal integration coordinates all production, inventory, and distribution or routing decisions in supply chains. This document proposes the resolution of the Integrated Production Planning problem using a mathematical optimisation model. The model enables planning for the production of orders with priorities and due dates, inbound and outbound logistics, and emergency shipment of critical components on a short-term horizon. We introduce a numerical example demonstrating how the model solves the automotive production planning problem. The production plan can be elaborated on and coordinated with the planned inbound logistics and outbound distribution in the automotive supply chain. The analysis of the numerical example shows cost savings of 33% provided by the integration of the processes.