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= 10p.5 r 0.5
Chemical P costs $300 a unit and chemical R costs $1,500 a unit.
The company wants to produce as many units of chemical Z as
possible with a total budget of $180,000.
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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