4. Solve the following problem using definite integrals. A division of Ditton Industries manufactures a deluxe toaster oven. The daily marginal profit function associated with the production and sales of the deluxe toaster ovens is P'(x)=-0.0001x2 +0.03x +30, where x denotes the number of units manufactured and sold daily and P'(x) is measured in dollars per unit. Fixed costs are $600. a. Find the total profit from the manufacture and sale of 100 units of the toaster ovens per day. b. What is the additional daily profit realizable if the production and sales of the toaster ovens are increased from 100 to 200 units/day