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 = 170p8,0.2 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 $240,000. 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
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 = 170p8,0.2 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 $240,000. 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
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 27EQ
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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:
z = 170p®,0.2
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 $240,000.
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
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