I have an econ midterm coming up and need help with this question on the practice test. I'm not sure how to show what it's asking for. Any extra detail/explantation would be greatly appreciated, thank you so so much!

2. Many who have poor knowledge of how market works believe that, \"the higher the price, the higher the prots.\" Assume a rm has control over the price and can set its price. Further, assume the market (inverse) demand is linear and is given by: p = a bq and the marginal cost is constant and equals c. Using these demand and cost conditions, (a) By using the trade-off between consumer surplus and deadweight loss show that higher price does not always result in higher prots. (1) Show that for special demand functions, \"the higher the price, the higher the prots,\" is true. (c) Does the price that maximizes the prots have upper or lower limits?, what are these limits? What are the underlying conditions for these limits