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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 = 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 = 1075 Units of chemical R, r = 50 X 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= 15755 X units

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 = 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 = 1075 Units of chemical R, r = 50 X 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= 15755 X units

Advanced Engineering Mathematics
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 $900 a unit. The company wants to produce as many units of chemical Z as possible with a total budget of $112,500. 2 = 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 = 1075 Units of chemical R, r = 50 Max production, z= 15755 X B) What is the maximum number of units of chemical Z under the given budgetary conditions? (Round your answer to the nearest whole unit.) X 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. 2 = 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 = 1075 Units of chemical R, r = 50 Max production, z= 15755 X B) What is the maximum number of units of chemical Z under the given budgetary conditions? (Round your answer to the nearest whole unit.) X units
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