A chemical manufacturing plant can produce z units of chemical Z given p units of chemical P and r units of chemical R, where: z = 100p.80.2 Chemical P costs $300 a unit and chemical R costs $2,400 a unit. The company wants to produce as many units of chemical Z as possible with a total budget of $600,000. A) How many units each chemical (P and R) should be "purchased" to maximize production of chemical Z subject to the budgetary constraint? Units of chemical P, p = Units of chemical R, r = B) What is the maximum number of units of chemical Z under the given budgetary conditions? (Round your answer to the nearest whole unit.) Max production, z= units

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
Problem 37CR
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How many units of each chemical should be purchased to maximize production of chemical Z? What is the maximum number of units of chemical Z?

A chemical manufacturing plant can produce z units of chemical Z given p units of chemical P and r units
of chemical R, where:
Chemical P costs $300 a unit and chemical R costs $2,400 a unit. The company wants to produce as many
units of chemical Z as possible with a total budget of $600,000.
z = 100p.80.2
A) How many units each chemical (P and R) should be "purchased" to maximize production of chemical Z
subject to the budgetary constraint?
Units of chemical P, p =
Units of chemical R, r =
B) What is the maximum number of units of chemical Z under the given budgetary conditions? (Round your
answer to the nearest whole unit.)
Max production, z=
units
Transcribed Image Text:A chemical manufacturing plant can produce z units of chemical Z given p units of chemical P and r units of chemical R, where: Chemical P costs $300 a unit and chemical R costs $2,400 a unit. The company wants to produce as many units of chemical Z as possible with a total budget of $600,000. z = 100p.80.2 A) How many units each chemical (P and R) should be "purchased" to maximize production of chemical Z subject to the budgetary constraint? Units of chemical P, p = Units of chemical R, r = B) What is the maximum number of units of chemical Z under the given budgetary conditions? (Round your answer to the nearest whole unit.) Max production, z= units
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