When ADTF Distributors produces and ships a thousand personal watercrafts (PWC) in a year, their production costs change according to the marginal cost function C'(x) = 2.91x2 - 21.14x + 49.78 hundred thousand dollars per thousand PWCs. ADTF currently manufactures 3,000 PWCs each year. However, due to an increase in their international market share, they are considering increasing production next year to 8,000 PWCs. We will find the net change in manufacturing costs (accumulated costs) when the production is increased from 3,000 to 8,000 PWCs. (part a - 11 pts) First, we will set up the definite integral that will be used to answer the question, then continue to fill in the blanks to perform the steps to evaluate the integral. Net change in total cost = da