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=140 p^0.5 r^0.5

Chemical P costs $300 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 $108,000.

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