Optimizing Production with Budget Constraints

You work as an operations analyst for a small manufacturing company that produces custom phone cases. The company’s weekly profit depends on two factors: the number of standard cases produced (in hundreds) and the number of hours spent on marketing. However, production and marketing costs are limited by the weekly budget. Your job is to determine the optimal production and marketing levels that maximize profit while staying within budget constraints. In some situations, you may also need to consider additional constraints such as warehouse capacity or labor availability.