Use the information below to answer the $24$ master production schedule problemsthat follow.A firm is planning their master production schedule for January and February. The forecast for January is $160$ and the forecast for February is $200.$ Assume four weeks in each month.There are firm customer orders fol the first five weeks. They are: $50,42,18,6,$ and $2.$The production lot size is $100$ and beginning inventory is $75.$Develop the MPS and calculate projected inventory and available to promise. Use those calculations to answer the following questions.