Jack and Jill Box own a small bakery that makes fresh cookies daily.They bake two kinds of cookies - plain cookies and cookies with icing.The cookies are sold by the box, and Jack and Jill are confident they can sell all the cookies they make.However, there are three constraints that limit their production today:
DOUGH: One box of plain cookies requires 1.2 pounds of cookie dough. One box of iced cookies requires 0.9 pounds of cookie dough. Jack and Jill have 72 pounds of cookie dough.
ICING: Plain cookies require no icing. One box of iced cookies requires 0.4 pounds of icing. Jack and Jill have 20 pounds of icing.
TIME: One box of plain cookies requires about 0.1 hours to prepare. One box of iced cookies requires about 0.15 hours to prepare. Jack and Jill together have 9 hours for preparation.
Write three inequalities. Then, find the intersection of these inequalities to show all combinations of cookies that Jack and Jill can make with the constraints given.
