First of all, build a not too big chain fence enclosure - the flat land behind the back of the T-rex (the one fighting with the Triceratops) should be fine for this - with at least 3 viewing galleries and a carnivore house, and buy the 5 panthers the VIP wants to see. Ensure he visits all three viewing galleries. For the park rating, build some flat rides and food, drink, souvenir shops as well as facilities and ensure the park is kept relatively clean. With that, you should pass apprentice.
For the entrepreneur, build another chain fence enclosure - the flat land between the Parasaurolophus herd and the Dimetrodons should be good, just don’t use up all that land. Leave place there for a third enclosure with at least one viewing gallery and a giraffe house, and buy the VIP’s 15 giraffes. Don’t mind too much if the Park Inspector notes that there are too many animals in the enclosure, Mayor Smythe won’t care about that. Ensure the VIP visits all the viewing galleries. For the park rating, build more flat rides and shops and ensure the park is relatively clean. With that, you should pass entrepreneur.
For tycoon, build a third chain fence enclosure near the 2nd one with one or two ape houses and at least one viewing gallery. Buy the VIP’s 25 mandrills. That will cost a lot, but you could just sell 8-10 of your giraffes to get a little more money, as well as take some loan (just mind the high interest rate), you don’t have to pay it back anyway. Ensure Major Smythe visits all the viewing galleries. For the park rating goal, have enough - and a nice variety of - rides and shops and keep the park clean (note that the rating must be sustained for at least 4 months) and you won tycoon.