2. A factory uses ingredients A, B, C, D, E, and F 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 product should they make to use up all the ingredients completely? Hint: Suppose they need to make z, tonnes of product I, 12 tonnes of product II, etc. Then set up one equation for each of the ingredients A, B, C etc. Solve this system of equations to find your answers. Type of product--|I |II| III |IV | V | Amount in stock Į Ingredient 507.4 749.2 505.1 10 20 10 10 14 12 16 8. 17 7. D 38 7. 3 848.6 491.7 659.5 E 15 14 6. F 21 10 20 10
2. A factory uses ingredients A, B, C, D, E, and F 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 product should they make to use up all the ingredients completely? Hint: Suppose they need to make z, tonnes of product I, 12 tonnes of product II, etc. Then set up one equation for each of the ingredients A, B, C etc. Solve this system of equations to find your answers. Type of product--|I |II| III |IV | V | Amount in stock Į Ingredient 507.4 749.2 505.1 10 20 10 10 14 12 16 8. 17 7. D 38 7. 3 848.6 491.7 659.5 E 15 14 6. F 21 10 20 10
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 26EQ
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