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6th Edition

Stewart + 5 others

Publisher: Cengage Learning

ISBN: 9780840068071

Chapter 1.1, Problem 79E

**(a)**

To determine

Whether the post office accept a package that is 6 in. wide, 8 in. deep and 5 ft long and the post office accept a package that measures 2 ft by 2ft by 4 ft.

Expert Solution

Yes the post office will accept a package that is 6 in. wide, 8 in. deep and 5 ft long.

No, the post office will not accept the package that measures 2 ft by 2ft by 4 ft.

**Given:**

The post office will only accept packages for which the length plus the girth (that is the distance

**Formula used:**

The formula to convert feet into inches is,

**Calculation:**

The post office accepts only those packages which are less than 108 inches and is given by,

Convert feet into inches,

Substitute 6 in. for *x*, 8 in. for *y* and 60 in. for

The above inequality holds.

Hence, the post office will accept the package that is 6 in. wide, 8 in. deep and 5 ft long.

The post office accepts only those packages which are less than 108 inches and is given by,

Substitute 24 in for *x*, 24 in for *y* and 48 in for

The above inequality does not holds.

Hence, the post office will not accept the package that measures 2 ft by 2ft by 4 ft.

**(b)**

To determine

The greatest acceptable length for a package that has a square base measuring 9 in. by 9 in.

Expert Solution

The greatest acceptable length for a package that has a square base measuring 9 in. by 9 in. is 72 in..

**Given:**

The post office will only accept packages for which the length plus the girth (that is the distance

**Calculation:**

The post office accepts only those packages which are less than 108 inches and is given by,

Substitute 9 in. for *x*, 9 in. for *y* in equation (1).

Hence, the greatest acceptable length for a package that has a square base measuring 9 in. by 9 in. is 72 in.