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 = 200p0.9,0.1 Chemical P costs $400 a unit and chemical R costs $2,800 a unit. The company wants to produce as many units of chemical Z as possible with a total budget of $840,000. 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 =
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 = 200p0.9,0.1 Chemical P costs $400 a unit and chemical R costs $2,800 a unit. The company wants to produce as many units of chemical Z as possible with a total budget of $840,000. 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 =
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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:
\[
z = 200p^{0.9}r^{0.1}
\]
Chemical P costs $400 a unit and chemical R costs $2,800 a unit. The company wants to produce as many units of chemical Z as possible with a total budget of $840,000.
**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, \( p \) = [Input Box]
* Units of chemical R, \( r \) = [Input Box]
**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, \( z \) = [Input Box] units
*Question Help: [Video]*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc97f89b5-3204-4ee6-ad43-e173591dabdf%2F2b14076d-574c-4a4c-ad6d-167801176171%2F6p73ev_processed.png&w=3840&q=75)
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:
\[
z = 200p^{0.9}r^{0.1}
\]
Chemical P costs $400 a unit and chemical R costs $2,800 a unit. The company wants to produce as many units of chemical Z as possible with a total budget of $840,000.
**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, \( p \) = [Input Box]
* Units of chemical R, \( r \) = [Input Box]
**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, \( z \) = [Input Box] units
*Question Help: [Video]*
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