A chemical manufacturing plant can produce z units of chemical Z given p units of chemical P and r units of chemical R, where: 2 = 40p.5 p0.5 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 $32,000. 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

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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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:
2 = 40p.5 p0.5
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 $32,000.
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
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: 2 = 40p.5 p0.5 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 $32,000. 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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