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 = 170 p0.6r0.4 Chemical P costs $500 a unit and chemical R costs $2, 500 a unit. The company wants to produce as many units of chemical Z as possible with a total budget of $200, 000. What is the maximum number of units of chemical Z under the given budgetary conditions?