Use the Graphical Method The Green Company uses three grades of recycled paper, called grades A, B, and C, produced from scrap paper it collects. Companies that produce these grades of recycled paper do so as the result of a single operation, so the proportion of each grade of paper is fixed for each company. The Ecology Company process produces 1 unit of grade A, 2 units of grade B, and 3 units of grade C for each ton of paper processed and charges $300 for the processing. The Environment Company process produces 1 unit of grade A, 5 units of grade B, and 1 unit of grade C for each ton of paper processed and charges $500 for processing. The Green Company needs at least 100 units of grade A paper, 260 units of grade B paper, and 180 units of grade C paper. How should the company place its order so that costs are minimized?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.2: Applied Problems
Problem 22E
Question
Use the Graphical Method
The Green Company uses three grades of recycled paper, called grades A, B, and C, produced
from scrap paper it collects. Companies that produce these grades of recycled paper do so as
the result of a single operation, so the proportion of each grade of paper is fixed for each
company. The Ecology Company process produces 1 unit of grade A, 2 units of grade B, and 3
units of grade C for each ton of paper processed and charges $300 for the processing. The
Environment Company process produces 1 unit of grade A, 5 units of grade B, and 1 unit of
grade C for each ton of paper processed and charges $500 for processing. The Green Company
needs at least 100 units of grade A paper, 260 units of grade B paper, and 180 units of grade
C paper. How should the company place its order so that costs are minimized?
Transcribed Image Text:Use the Graphical Method The Green Company uses three grades of recycled paper, called grades A, B, and C, produced from scrap paper it collects. Companies that produce these grades of recycled paper do so as the result of a single operation, so the proportion of each grade of paper is fixed for each company. The Ecology Company process produces 1 unit of grade A, 2 units of grade B, and 3 units of grade C for each ton of paper processed and charges $300 for the processing. The Environment Company process produces 1 unit of grade A, 5 units of grade B, and 1 unit of grade C for each ton of paper processed and charges $500 for processing. The Green Company needs at least 100 units of grade A paper, 260 units of grade B paper, and 180 units of grade C paper. How should the company place its order so that costs are minimized?
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