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A chemical manufacturing plant can produce zz units of chemical Z given p units of chemical...

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

z=70p.8r0.2

Chemical P costs $100 a unit and chemical R costs $700 a unit. The company wants to produce as many units of chemical Z as possible with a total budget of $210,000.

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=

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