Acompany manufactures products a, b, and c. each product is processed in three departments: i, ii, and iii. the total available labor-hours per week for departments i, ii, and iii are 900, 1080, and 840, respectively. the time requirements (in hours per unit) and profit per unit for each product are as follows. (for example, to make 1 unit of product a requires 2 hours of work from dept. i, 3 hours of work from dept. ii, and 2 hours of work from dept. iii.) product a product b product c dept. i 2 1 2 dept. ii 3 1 2 dept. iii 2 2 1 profit $90 $60 $75