please help with these asap thank you

1. [4 marks] A company has determined its marginal production level to be Pm?) = 200.172" 3 units produced per dollar of investment. If 5500 units are produced when $8000 is invested1 how much needs to be invested to produce 17500 units? 2. [6 marks] Find a polynomial f with the following properties: i) f has points of inection at a? = 0 and 3: = 3 (i.e. f\"([l) = f\"(3) = 0). ii) f\"(1) = ~24. iii) f has a slope of 2 at a: = 1. iv) f has a yrintereept at y = 2. 2 + 2:2 3. [4 marks] Find the function f that has slope 1 + 2 for :1: E dam; and passes through the point (I. E). a: [Hint: 2 = 1+ 1]