A chemical manufacturing plant can produce z units of chemical Z given p units of chemical P and 7" units of chemical R, where: Z : 1402906704 Chemical P costs $400 a unit and chemical R costs $800 a unit. The company wants to produce as many units of chemical Z as possible with a total budget of $100,000. 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, 2: units