Hi dear tutor for this I just want the final answers thank you

The marginal revenue (in thousands of dollars} from the sale of x gadgets is given by the following function. 2 R'(x) = 4x (x2 + 26,000) 3 a. Find the total revenue function ifthe revenue from 125 gadgets is $41939. b. How many gadgets must be sold for a revenue of at least $35.00!]? Approximate the area under the graph of 2 ftx) and above the x-axis with rectangles, [(x] = + 2. from x = 1 to x = 9 using the following methods with n = 4. x (a) Use left endpoints. (b) Use right endpoints. (c}Average the answers in parts (a) and (h) The area, approximated using the left endpoints. is D. (Round to two decimal places as needed.) The area, approximated using the right endpoints. is 1. (Round to two decimal places as needed.) The average of the answers in parts (a) and (b) is (Round to two decimal places as needed.) The supply function for oil is given (in dollars) by S(q), and the demand function is given (in dollars) by D(q). S(q) = q2 + 17q, D(q) =960 - 17q -q2Find the producers' surplus if the supply.' function for pork bellies is given by the following. Slq) :qsm +4q312 + 51 Assume supply and demand are in equilibrium at q =16. The producers' surplus is $ (Type an integer or decimal rounded to the nearest hundredth as needed.)