Teo sells a set of videotapes on an online auction. The postal service he prefers puts these restrictions on the size of a package:
Up to 150 lb
Up to 130 in. in length and girth combined
Up to 108 in. in length
Length is defined as the longest side of a package or object. Girth is the distance all the way around the package or object at its widest point perpendicular to the length. Teo is not concerned with the weight because the videotapes weigh only 15 lb.
a. Write a system of inequalities that represents the constraints on the package size.
b. Graph the feasible region for the dimensions of the package.
c. Teo packages the videotapes in a box whose dimensions are 20 in. by 14 in. by 8 in. Does this box satisfy the restrictions?