A chemical manufacturing plant can produce z units of chemical Z given p units of chemical P and units of chemical R, where: Chemical P costs $200 a unit and chemical R costs $400 a unit. The company wants to produce as many units of chemical Z as possible with a total budget of $120,000. 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 = z = 130p.8.0.2 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 units of chemical R, where: Chemical P costs $200 a unit and chemical R costs $400 a unit. The company wants to produce as many units of chemical Z as possible with a total budget of $120,000. 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 = z = 130p.8.0.2 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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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:
\[
z = 130p^{0.8}r^{0.2}
\]
Chemical P costs $200 a unit and chemical R costs $400 a unit. The company wants to produce as many units of chemical Z as possible with a total budget of $120,000.
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4502ad76-029d-4512-814c-251a152b6281%2Ff70baf19-305d-4e0d-a961-058574444f66%2Fen3ys1_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:
\[
z = 130p^{0.8}r^{0.2}
\]
Chemical P costs $200 a unit and chemical R costs $400 a unit. The company wants to produce as many units of chemical Z as possible with a total budget of $120,000.
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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