A chemical manufacturing plant can produce z units of chemical Z given p units of chemical P and r units of chemical R, where: = 50p.60.4 Chemical P costs $100 a unit and chemical R costs $900 a unit. The company wants to produce as many units of chemical Z as possible with a total budget of $112,500. 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

College Algebra (MindTap Course List)
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Author:R. David Gustafson, Jeff Hughes
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Chapter6: Linear Systems
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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 $900 a unit. The company wants to produce as many units
of chemical Z as possible with a total budget of $112,500.
z = 50p.60.4
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: Chemical P costs $100 a unit and chemical R costs $900 a unit. The company wants to produce as many units of chemical Z as possible with a total budget of $112,500. z = 50p.60.4 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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