A factory uses ingredients A, B, C, D and E to produce products I, II, III, IV, and V. The following table shows the amounts of each ingredient in stock (in kg) as well as the amount (in kg) necessary to produce 1 tonne (=1000 kg) of each type of product. How many tonnes of each type of ingredient should they make to use up all the ingredients completely? (Note: There may be other basic ingredients, such as water, that are not relevant in the equations.) Hint: Suppose they need to make x1 equation for each of the ingredients A, B, C etc. Solve this system of equations to find your answers. tonnes of product I, x2 tonnes of product II, etc. Then set up one
A factory uses ingredients A, B, C, D and E to produce products I, II, III, IV, and V. The following table shows the amounts of each ingredient in stock (in kg) as well as the amount (in kg) necessary to produce 1 tonne (=1000 kg) of each type of product. How many tonnes of each type of ingredient should they make to use up all the ingredients completely? (Note: There may be other basic ingredients, such as water, that are not relevant in the equations.) Hint: Suppose they need to make x1 equation for each of the ingredients A, B, C etc. Solve this system of equations to find your answers. tonnes of product I, x2 tonnes of product II, etc. Then set up one
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter5: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 11P
Related questions
Question
Transcribed Image Text:A factory uses ingredients A, B, C, D and E to produce products I, II, III, IV, and V. The following table
shows the amounts of each ingredient in stock (in kg) as well as the amount (in kg) necessary to produce 1 tonne
(=1000 kg) of each type of product. How many tonnes of each type of ingredient should they make to use up all
the ingredients completely? (Note: There may be other basic ingredients, such as water, that are not relevant in
the equations.)
Hint: Suppose they need to make x1
equation for each of the ingredients A, B, C etc. Solve this system of equations to find your answers.
tonnes of product I, x2 tonnes of product II, etc. Then set up one
Hoeveelheid in voorraad (kg)
Amount in stock (kg)
Soort Produk
I
II
III
IV
V
Type of product→
Ingredient
A
27
114
21
9
2780.4
B
7.5
105
6
4.5
1929.3
C
12
11.2
6.4
4.8
616.64
D
25
20
50
25
2260
E
7
5
17
7
526.3
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