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