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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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