A factory producing pills has to develop a new type of multivitamin using two types of powde powder A and powder B. Each gram of powder A contains 16 units of calcium, 2 units of iron of magnesium and 6 units of vitamin A. Each gram of the same quantity of powder B contain of calcium, 4 units of iron, 13 units of magnesium and 1 unit of vitamin A. Each pill produced factory requires at most 140 units of calcium, at least 360 units of iron and at least 200 units vitamin A. Each gram of powder A costs R25 and each gram of powder B costs R17. How ma of each type of powder should be used to minimize the cost of producing each pill? 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. be:

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Systems Of Equations And Inequalities
Section6.5: Systems Of Inequalities
Problem 9ECP
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Please answer the following questions asap I need them in 10 minutes, thanks.

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 minimize the cost of producing each pill?
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.
The objective function for this problem will be:
Select one:
a. Minimize z = 25x + 17y
b. Maximize z
6x + Y
c. None of the other options are correct
d. Maximize z 25х + 17у
e. Minimize z
6x + Y
f. Minimize z
: 9α + 13y
g. Maximize z
9х + 13у
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 minimize the cost of producing each pill? 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. The objective function for this problem will be: Select one: a. Minimize z = 25x + 17y b. Maximize z 6x + Y c. None of the other options are correct d. Maximize z 25х + 17у e. Minimize z 6x + Y f. Minimize z : 9α + 13y g. Maximize z 9х + 13у
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