Question: Manufacturing 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 4 hours. The company has only 800 work hours to use in manufacturing each day, and the packaging department can package only 300 trimmers per day. If the company sells the cord-type model for $22.50 and the cordless model for $45.00, how many of each type should it produce per day to maximize its sales?
Problem: Manufacturing 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 4 hours. The company has only 800 work hours to use in manufacturing each day, and the packaging department can package only 300 trimmers per day.
(a) Write the inequalities that describe the constraints on the number of each type of hedge trimmer produced. Begin by identifying what x and y represent.
(b) Graph the region determined by these constraint inequalities.