explanation and clear steps for more info thank you

but now you're on board the spaceship #1433664914, and the captain is asking to solve tricky "ZP" (Z Planet) problem (you know what it means when captain is "asking"... that's an order): A Z-Planet chemical manufacturing plant can produce z units of chemical Z given p units of chemical P and T units of chemical R, where: z = 110p-5,0.5 Chemical P costs $500 a unit and chemical R costs $2,500 a unit (by the way, ZP "dollar" is equal to 1.33 US $ as of 01/01/2050). The company wants to produce as many units of chemical Z as possible with a total budget of $200,000. !!! The challenge is that the easiest differentiation rule on Earth, d n = nx-1 ", under Z-Planet conditions is "twisted" as the following: da d.x const = 0, and the other rules have not been changed). 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? t.) Max production, z= units (when possible and applicable, do not use decimals/ calculator. Present fractions in an exact format, for example, 45 229 107 ' 171 , otherwise, keep at least 3 digits after decimal point)