A company wants to make a fresh jelly drink with various flavors. The jelly drink is made in cans with 3 different flavors, namely grape, mango, and melon. First, the grape-flavored jelly drink has a composition of 30 grams of jelly, 100 grams of sugar, and 15 grams of water. Second, the mango-flavoured jelly drink has a composition of 40 grams of jelly, 80 grams of sugar, and 20 grams of water. Lastly, the melon flavored drink has a composition of 25 grams of jelly, 85 grams of sugar, and 10 grams of water. The ingredients owned by the company are 0.5 kg of jelly, 1 kg of sugar, and 0.3 kg of water. Help the company solve the following problems: a. Make an equation with the existing limitations. b. Make the matrix form. c. Calculate the cans of grape, mango and melon flavored drinks that the company can produce using the Cramer's Method.
A company wants to make a fresh jelly drink with various flavors. The jelly drink is made in cans with 3 different flavors, namely grape, mango, and melon. First, the grape-flavored jelly drink has a composition of 30 grams of jelly, 100 grams of sugar, and 15 grams of water. Second, the mango-flavoured jelly drink has a composition of 40 grams of jelly, 80 grams of sugar, and 20 grams of water. Lastly, the melon flavored drink has a composition of 25 grams of jelly, 85 grams of sugar, and 10 grams of water. The ingredients owned by the company are 0.5 kg of jelly, 1 kg of sugar, and 0.3 kg of water. Help the company solve the following problems: a. Make an equation with the existing limitations. b. Make the matrix form. c. Calculate the cans of grape, mango and melon flavored drinks that the company can produce using the Cramer's Method.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 3EQ: A florist offers three sizes of flower arrangements containing roses, daisies, and chrysanthemums....
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A company wants to make a fresh jelly drink with various flavors. The jelly drink is made in cans with 3 different flavors, namely grape, mango, and melon. First, the grape-flavored jelly drink has a composition of 30 grams of jelly, 100 grams of sugar, and 15 grams of water. Second, the mango-flavoured jelly drink has a composition of 40 grams of jelly, 80 grams of sugar, and 20 grams of water. Lastly, the melon flavored drink has a composition of 25 grams of jelly, 85 grams of sugar, and 10 grams of water. The ingredients owned by the company are 0.5 kg of jelly, 1 kg of sugar, and 0.3 kg of water. Help the company solve the following problems:
a. Make an equation with the existing limitations.
b. Make the matrix form.
c. Calculate the cans of grape, mango and melon flavored drinks that the company can produce using the Cramer's Method.
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