Question:

A clothing manufacturer makes denim and hooded fleece

Last updated: 7/18/2022

A clothing manufacturer makes denim and hooded fleece

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 32 labor-hours for cutting, 60 labor-hours for sewing, and 18 labor-hours for finishing available each day. The profit is $7 per denim jacket and $4 per hooded fleece jacket. Complete parts (a) through (e) below. (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. Give the inequality arising from the available sewing hours. Give the inequality arising from the available Finishing hours. (c) Give other requirements that x and y must satisfy. x ≥ y²