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 = 200p0.9,0.1 Chemical P costs $400 a unit and chemical R costs $2,800 a unit. The company wants to produce as many units of chemical Z as possible with a total budget of $840,000. 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 =

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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:

\[
z = 200p^{0.9}r^{0.1}
\]

Chemical P costs $400 a unit and chemical R costs $2,800 a unit. The company wants to produce as many units of chemical Z as possible with a total budget of $840,000.

**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, \( p \) = [Input Box]

* Units of chemical R, \( r \) = [Input Box]

**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, \( z \) = [Input Box] units

*Question Help: [Video]*
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: \[ z = 200p^{0.9}r^{0.1} \] Chemical P costs $400 a unit and chemical R costs $2,800 a unit. The company wants to produce as many units of chemical Z as possible with a total budget of $840,000. **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, \( p \) = [Input Box] * Units of chemical R, \( r \) = [Input Box] **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, \( z \) = [Input Box] units *Question Help: [Video]*
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