A unit of X requires 4 hours of labor in department 1 and 5 hours of labor in department 2. A unit Y requires 3 hours of labor in department 1 and 7 hours of labor indepartment 2 . Currently, 1000 hours of labor are available in department 1 and 1200 hours of labor time are available in department 2.Furthermore, 400 additional hours of cross-trained workers are available to assign to either department (or split between both. E. g. 150 hours to dept. 1 and 250 hours to dept. 2)Each of the unit sold returns a $50 profit. While each unit of Y sold returns a $60 profit. All units produced can be sold. Formulate this program ( decision variables, objective function and constrains)