The trim-look company makes several lines of skirts, dresses, and sport coats. recently, a consultant suggested that the company reevaluate its south islander line and allocate its resources to products that would maximize contribution to profits and to overhead. each product requires the same polyester fabric and must pass through the cutting and sewing departments. the following data were collected for the study. processing time (hr) product cutting sewing material (yd) skirt 22 11 11 dress 33 22 11 sport coat 33 55 55 the cutting department has 120120 hours of capacity, sewing has 200200 hours of capacity, and 120120 yards of material are available. each skirt contributes $99 to profits and overhead; each dress, $2121; and each sport coat, $3535. a. let x1 = number of skirts produced, x2 = number of dresses produced, x3 = number of sport coats produced. specify the objective function and constraints for the problem.