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Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

ChapterA: Appendix

SectionA.2: Geometric Constructions

Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...

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Question

A chemical manufacturing plant can produce zz units of chemical Z given pp units of chemical P and rr units of chemical R, where:

z=160p^0.9r^0.1

Chemical P costs $400 a unit and chemical R costs $2,400 a unit. The company wants to produce as many units of chemical Z as possible with a total budget of $1,440,000.

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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