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

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

Math   Advanced-Math   
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