Profitable fruitcakes. Sharon's revenue R (in dollars) on the sale of x fruitcakes is determined by the formula R = 50x - x2. Her cost C (in dollars) for producing x fruitcakes is given by the formula C = 2x + 40. For what values of x is Sharon's profit positive? (Profit = revenue - cost)
Profit > 0 implies that revenue > Cost
Or 50x - x2 > 2x + ...
This solution provides the step by step calculations for determine the range of x where Sharon's profit is positive.