Based on the data determine the following a. Represent the portions of regular, High Mountain and chocolate used in the blends by matrix A, with the values in decimal form. And represent the ingredients for a three-day period by matrix X. b. Determine the inverse of A. c. For each day find the number of pounds of blends that could be produced if there is no waste. Round the answers to the nearest whole numbers

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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Based on the data determine the following
a. Represent the portions of regular, High Mountain and chocolate used in the blends by matrix A, with the values in decimal form. And represent the ingredients for a three-day period by matrix X.
b. Determine the inverse of A.

c. For each day find the number of pounds of blends that could be produced if there is no waste. Round the answers to the nearest whole numbers

d. Based on the previous question which blend has the highest amount of production for 3 days and how much is it in pounds?

The composition of the three blends is shown in Table 1. The records show the
following amounts (in pounds) of ingredients used for a three-day period, as
seen in Table 2.
Ingredients
High
Regular Mountain Chocolate
Day
Blend
Ingredient
1
3
Early Riser
80%
20%
505
Regular
High Mt.
766
571
After Dinner
75%
20%
5%
170
244
196
Deluxe
50%
40%
10%
Chocolate
25
40
33
Table 1. Composition of the three blends.
Table 2. Amounts (in pounds) of ingredients used for a three-day period
Transcribed Image Text:The composition of the three blends is shown in Table 1. The records show the following amounts (in pounds) of ingredients used for a three-day period, as seen in Table 2. Ingredients High Regular Mountain Chocolate Day Blend Ingredient 1 3 Early Riser 80% 20% 505 Regular High Mt. 766 571 After Dinner 75% 20% 5% 170 244 196 Deluxe 50% 40% 10% Chocolate 25 40 33 Table 1. Composition of the three blends. Table 2. Amounts (in pounds) of ingredients used for a three-day period
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