The Softflow Yogurt Company makes three yogurt blends: LimeOrange, using 2 quarts of lime yogurt and 2 quarts of orange yogurt per gallon; LimeLemon, using 3 quarts of lime yogurt and 1 quart of lemon yogurt per gallon; and OrangeLemon, using 3 quarts of orange yogurt and 1 quart of lemon yogurt per gallon. Each day the company has 800 quarts of lime yogurt, 650 quarts of orange yogurt, and 350 quarts of lemon vogurt.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Application of system of linear equations:-

The Softflow Yogurt Company makes three yogurt blends: LimeOrange, using 2 quarts of lime yogurt
and 2 quarts of orange yogurt per gallon; LimeLemon, using 3 quarts of lime yogurt and 1 quart of
lemon yogurt per gallon; and OrangeLemon, using 3 quarts of orange yogurt and 1 quart of lemon
yogurt per gallon. Each day the company has 800 quarts of lime yogurt, 650 quarts of orange yogurt,
and 350 quarts of lemon yogurt.
(a)
By using Gauss elimination method, determine how many gallons of each blend should it make
each day if it wants to use up all of the supplies?
Is this problem can be solved by Thomas algorithm? If yes, solve using Thomas algorithm.
(b)
Transcribed Image Text:The Softflow Yogurt Company makes three yogurt blends: LimeOrange, using 2 quarts of lime yogurt and 2 quarts of orange yogurt per gallon; LimeLemon, using 3 quarts of lime yogurt and 1 quart of lemon yogurt per gallon; and OrangeLemon, using 3 quarts of orange yogurt and 1 quart of lemon yogurt per gallon. Each day the company has 800 quarts of lime yogurt, 650 quarts of orange yogurt, and 350 quarts of lemon yogurt. (a) By using Gauss elimination method, determine how many gallons of each blend should it make each day if it wants to use up all of the supplies? Is this problem can be solved by Thomas algorithm? If yes, solve using Thomas algorithm. (b)
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