2 = 80p.5p0.5

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:
Chemical P costs $100 a unit and chemical R costs $300 a
unit. The company wants to produce as many units of
chemical Z as possible with a total budget of $18,000.
Units of chemical P, p =
2 =
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 R, r =
80p.5p0.5
Max production, z=
B) What is the maximum number of units of chemical Z under
the given budgetary conditions? (Round your answer to the
nearest whole unit.)
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: Chemical P costs $100 a unit and chemical R costs $300 a unit. The company wants to produce as many units of chemical Z as possible with a total budget of $18,000. Units of chemical P, p = 2 = 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 R, r = 80p.5p0.5 Max production, z= B) What is the maximum number of units of chemical Z under the given budgetary conditions? (Round your answer to the nearest whole unit.) units
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