clear steps would helpful for more understanding thank you

but now you're on board the spaceship #171186544, 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: 2 = 150p-75,,0.25 Chemical P costs $300 a unit and chemical R costs $900 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 $36,000. !!! The challenge is that the easiest differentiation rule on Earth, d di ph = no" -, under Z-Planet conditions is "twisted" as the following: dx -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, T = 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. 49 229 otherwise, keep at least 3 digits after decimal point) 107 ' 215