A company manufactures two types of electric hedge trimmers, one of which is cordless. The cord-type trimmer requires 2 hours to make, and the cordless model requires 10 hours. The company has only one thousand work hours to use in manufacturing each day, and the packaging department can package only two hundred trimmers per day. (a) Write the inequalities that describe the constraints on the number of each type of hedge trimmer produced. (Let x represent the number of cord-type models, and let y represent the number of cordless models.)                manufacturing constraint         packaging constraint x ≥ 0   production constraint, cord-type y ≥ 0   production constraint, cordless (b) Graph the region determined by these constraint inequalities.