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 = 70p8,0.2 Chemical P costs $200 a unit and chemical R costs $1,400 a unit. The company wants to produce as many units of chemical Z as possible with a total budget of $350,000. 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 =| 200 Units of chemical R, r = 1400 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= 1708 X units

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
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A chemical manufacturing plant can produce z units of chemical Z given p units of chemical P andr units of
chemical R, where:
z = 70p8,02
Chemical P costs $200 a unit and chemical R costs $1,400 a unit. The company wants to produce as many
units of chemical Z as possible with a total budget of $350,000.
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 = 200
Units of chemical R, r = 1400
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 1708
X units
Transcribed Image Text:A chemical manufacturing plant can produce z units of chemical Z given p units of chemical P andr units of chemical R, where: z = 70p8,02 Chemical P costs $200 a unit and chemical R costs $1,400 a unit. The company wants to produce as many units of chemical Z as possible with a total budget of $350,000. 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 = 200 Units of chemical R, r = 1400 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 1708 X units
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