solve using CVX please

A firm is planning the production plan and workforce in the next six months. The demand is 1600 , 3000,3200,3800,2200,2200. Based on the parameters below, formulate an aggregate planning problem and solve it with CVX. (4 pts) Order backlog is allowed with a price. Each worker works 8 hours a day, 20 days a month. Initial workforce before the first month is 80. Maximum allowed overtime workhour per worker per month is 10 hours. The inventory at the beginning of first month is 1000 , the inventory at the end of the last month is 500