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A carpenter builds bookshelves and tables for a living. Each bookshelf takes one box of screws, two 2 ✕ 4's, and three sheets of plywood to make. Each table takes two boxes of screws, two 2 ✕ 4's, and four sheets of plywood. The carpenter has 55 boxes of screws, 70 2 ✕ 4's, and 115 sheets of plywood on hand. In order to maximize their profit using these materials on hand, the carpenter has determined that they must build 10 shelves and 20 tables. How many of each of the materials (boxes of screws, 2 ✕ 4's, and sheets of plywood) are leftover, when the carpenter builds 10 shelves and 20 tables? The carpenter has _ boxes of screws, _  2 ✕ 4's, and _ sheets of plywood leftover.

A carpenter builds bookshelves and tables for a living. Each bookshelf takes one box of screws, two 2 ✕ 4's, and three sheets of plywood to make. Each table takes two boxes of screws, two 2 ✕ 4's, and four sheets of plywood. The carpenter has 55 boxes of screws, 70 2 ✕ 4's, and 115 sheets of plywood on hand. In order to maximize their profit using these materials on hand, the carpenter has determined that they must build 10 shelves and 20 tables. How many of each of the materials (boxes of screws, 2 ✕ 4's, and sheets of plywood) are leftover, when the carpenter builds 10 shelves and 20 tables? The carpenter has _ boxes of screws, _  2 ✕ 4's, and _ sheets of plywood leftover.

Algebra for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
Problem 37CR
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A carpenter builds bookshelves and tables for a living. Each bookshelf takes one box of screws, two 2 ✕ 4's, and three sheets of plywood to make. Each table takes two boxes of screws, two 2 ✕ 4's, and four sheets of plywood.
The carpenter has 55 boxes of screws, 70 2 ✕ 4's, and 115 sheets of plywood on hand.
In order to maximize their profit using these materials on hand, the carpenter has determined that they must build 10 shelves and 20 tables.
How many of each of the materials (boxes of screws, 2 ✕ 4's, and sheets of plywood) are leftover, when the carpenter builds 10 shelves and 20 tables?
The carpenter has _ boxes of screws, _  2 ✕ 4's, and _ sheets of plywood leftover.
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