A chemical manufacturing plant can produce z units of chemical Z given p units of chemical P and r units of chemical R where Chemical P costs 500 a unit and chemical R costs 3 500 a unit The company wants to produce as many units of chemical Z as possible with a total budget of 280 000 z 60p 75 0 25 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