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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 = 60p75,0.25 Chemical P costs $300 a unit and chemical R costs $2,700 a unit. The company wants to produce as many units of chemical Z as possible with a total budget of $216,000. 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 = 697.5 Units of chemical R, r = 22.5 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- 17735.9738 X 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 = 60p75,0.25 Chemical P costs $300 a unit and chemical R costs $2,700 a unit. The company wants to produce as many units of chemical Z as possible with a total budget of $216,000. 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 = 697.5 Units of chemical R, r = 22.5 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- 17735.9738 X units

Linear Algebra: A Modern Introduction
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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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 = 60p 75,0.25 Chemical P costs $300 a unit and chemical R costs $2,700 a unit. The company wants to produce as many units of chemical Z as possible with a total budget of $216,000. 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 - 697.5 Units of chemical R, r =| 22.5 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= 17735.9738 X 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: z = 60p 75,0.25 Chemical P costs $300 a unit and chemical R costs $2,700 a unit. The company wants to produce as many units of chemical Z as possible with a total budget of $216,000. 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 - 697.5 Units of chemical R, r =| 22.5 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= 17735.9738 X units
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