operations research question. please do by hand and show work. thank you.

530 3. A company plans to manufacture a product for the next four month. Unit demand for each month is as follows Month 1-.......-520 Month 2--------- 720 Month 3 Month 4 -- 620 The company has a steady workforce of 11 employees but can meet fluctuating production needs by hiring and firing temporary workers, if necessary. The extra costs of hiring and firing in any month are $200 and $400 per worker, respectively. A permanent worker can produce 15 units per month, and a temporary worker, lacking comparable experience, can only produce 12 units per month. The inventory cost is estimated at $50 per unit per month. Formulate an LP to minimize the company's total costs. A. Define the decision variables B. Write out the objective function C. Write out the inventory constraints D. Write out the hiring and firing constraints