An executive is in the process of deciding on the price for a new product. His goal is to maximize profit. The alternatives are different possible prices from $2 per unit to $10 per unit. The model to be used is described below: Let: x = number of units produced (and sold) C(x) = total cost of producing x units p = price to be charged NP total net profit (to be maximized) Cost relationship: C(x) = 800 +1.25x 100+ 2,000/p Sales relationship: X = Profit: NP = px-C (x) a) Find an approximate solution to the model by trial and error (i.e. try several values of price between $2 and $10 in increments of $1, and try to find a price that gives the best profit).