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The following table gives the number of milligrams of vitamins A, B, C con- tained in one gram of each of the food supplements F1, F2, F3. АВ С F1 3 F2 2 F3| 2 1 2 1 2 (a) What is the amount of vitamins A, B and C in the mixture that contains 1 gram of food F1, 2 grams of food F2, 3 grams of food F3? (b) A mixture of foods F1, F2 and F3 is to be prepared containing precisely 6 milligrams of vitamin A, 2 milligrams of vitamin B and 4 milligrams of vitamin C. What is the minimal and what is the maximal amount of F3 that we can use to prepare this mixture?

The following table gives the number of milligrams of vitamins A, B, C con- tained in one gram of each of the food supplements F1, F2, F3. АВ С F1 3 F2 2 F3| 2 1 2 1 2 (a) What is the amount of vitamins A, B and C in the mixture that contains 1 gram of food F1, 2 grams of food F2, 3 grams of food F3? (b) A mixture of foods F1, F2 and F3 is to be prepared containing precisely 6 milligrams of vitamin A, 2 milligrams of vitamin B and 4 milligrams of vitamin C. What is the minimal and what is the maximal amount of F3 that we can use to prepare this mixture?

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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The following table gives the number of milligrams of vitamins A, B, C con- tained in one gram of each of the food supplements F1, F2, F3. АВС F1 3 F2 2 F3| 2 1 1 2 2 (a) What is the amount of vitamins A, B and C in the mixture that contains 1 gram of food F1, 2 grams of food F2, 3 grams of food F3? (b) A mixture of foods F1, F2 and F3 is to be prepared containing precisely 6 milligrams of vitamin A, 2 milligrams of vitamin B and 4 milligrams of vitamin C. What is the minimal and what is the maximal amount of F3 that we can use to prepare this mixture?
Transcribed Image Text:The following table gives the number of milligrams of vitamins A, B, C con- tained in one gram of each of the food supplements F1, F2, F3. АВС F1 3 F2 2 F3| 2 1 1 2 2 (a) What is the amount of vitamins A, B and C in the mixture that contains 1 gram of food F1, 2 grams of food F2, 3 grams of food F3? (b) A mixture of foods F1, F2 and F3 is to be prepared containing precisely 6 milligrams of vitamin A, 2 milligrams of vitamin B and 4 milligrams of vitamin C. What is the minimal and what is the maximal amount of F3 that we can use to prepare this mixture?
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