A clothing manufacturer makes denim and hooded fleece jackets. Each denim jacket requires 2 labor-hours for cutting the pieces, 2 labor-hours for sewing, and 1 labor-hour for finishing. Each hooded fleece jacket requires 1 labor-hour for cutting, 4 labor-hours for sewing, and 1 labor-hour for finishing. There are 30 labor-hours for cutting, 60 labor-hours for sewing, and 17 labor-hours for finishing available each day. The profit is $6 per denim jacket and $7 per hooded fleece jacket. Complete parts (a) through (e) below. (a) Fill in the chart Denim Cutting Sewing Finishing Profit 2 hour(s) 2 hour(s) 1 hour(s) $ 6 Hooded Fleece 1 hour(s) 4 hour(s) 1 hour(s) $7 Available Hours 30 hour(s) 60 hour(s) 17 hour(s) (b) Let x be the number of denim jackets made each day. Let y be the number of hooded fleece jackets made each day. Refer to the chart, and give three inequalities that x and y must satisfy due to the available labor hours. Give the inequality arising from the available cutting hours