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:

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Topic Video
Question

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
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Propositional Calculus
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,