A factory producing pills has to develop a new type of multivitamin using two types of powder, powder A and powder B. Each gram of powder A contains 16 units of calcium, 2 units of iron, 9 units of magnesium and 6 units of vitamin A. Each gram of the same quantity of powder B contains 7 units of calcium, 4 units of iron, 13 units of magnesium and 1 unit of vitamin A. Each pill produced by the factory requires at most 140 units of calcium, at least 360 units of iron and at least 200 units of vitamin A. Each gram of powder A costs R25 and each gram of powder B costs R17. How many grams of each type of powder should be used to maximize the amount of magnesium in each pill produced bu the factorv?
A factory producing pills has to develop a new type of multivitamin using two types of powder, powder A and powder B. Each gram of powder A contains 16 units of calcium, 2 units of iron, 9 units of magnesium and 6 units of vitamin A. Each gram of the same quantity of powder B contains 7 units of calcium, 4 units of iron, 13 units of magnesium and 1 unit of vitamin A. Each pill produced by the factory requires at most 140 units of calcium, at least 360 units of iron and at least 200 units of vitamin A. Each gram of powder A costs R25 and each gram of powder B costs R17. How many grams of each type of powder should be used to maximize the amount of magnesium in each pill produced bu the factorv?
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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Transcribed Image Text:A factory producing pills has to develop a new type of multivitamin using two types of powder,
powder A and powder B. Each gram of powder A contains 16 units of calcium, 2 units of iron, 9 units
of magnesium and 6 units of vitamin A. Each gram of the same quantity of powder B contains 7 units
of calcium, 4 units of iron, 13 units of magnesium and 1 unit of vitamin A. Each pill produced by the
factory requires at most 140 units of calcium, at least 360 units of iron and at least 200 units of
vitamin A. Each gram of powder A costs R25 and each gram of powder B costs R17. How many grams
of each type of powder should be used to maximize the amount of magnesium in each pill produced
by the factory?
Let x be the number of grams of powder A used in each pill.
Let y be the number of grams of powder B used in each pill.
Select the correct iron constraint.
Transcribed Image Text:Select one:
а. 6х + у< 200
b. 25x + 17y < 140
O c. 2x + 4y > 360
O d. None of the other options are correct
O e. 6.x + y 2 200
f. 2x + 4y < 140
O 8 16x + 7y < 140
O h. 2x + 4y < 360
i. 25x + 17y > 140
j. 16x + 7y > 140
k. 2x + 4y 2 140
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