Find the linear mathematical model that describes the feasible combinations of the given materials into the given products. Graph the feasibility region and find the corner points (leave the answers in exact form).

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 16EQ
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2.
American Sporting Goods constructs softballs and hardballs from leather and yarn. A
softball requires 100 square inches of leather and 12 ounces of yarn, while a hardball
uses 30 square inches of leather and 8 ounces of yarn. There are 3000 square inches
of leather and 720 ounces of yarn available.
a)
Find the linear mathematical model that describes the feasible combinations of the
given materials into the given products.
b) Graph the feasibility region and find the corner points (leave the answers in exact
form).
Transcribed Image Text:2. American Sporting Goods constructs softballs and hardballs from leather and yarn. A softball requires 100 square inches of leather and 12 ounces of yarn, while a hardball uses 30 square inches of leather and 8 ounces of yarn. There are 3000 square inches of leather and 720 ounces of yarn available. a) Find the linear mathematical model that describes the feasible combinations of the given materials into the given products. b) Graph the feasibility region and find the corner points (leave the answers in exact form).
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