possible ase Find the absolute extrema of the function, if they exist, over the indicated interval. Also indicate the x-value at which each extremum occurs. If no interval is specified, use the real numbers, ( - co, co). uni f(x) = 0.001x2 + 3.8x - 30 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. The absolute maximum is at x = and the absolute minimum is at X = (Use a comma to separate answers as needed.) O B. The absolute maximum is at x = and there is no absolute minimum. (Use a comma to separate answers as needed.) O C. The absolute minimum is at x = and there is no absolute maximum. (Use a comma to separate answers as needed.) O D. There is no absolute maximum and no absolute minimum. uluMaximize B = 4xy , where x and y are positive numbers such that x + y-= 3. . The maximum value of B is (Simplify your answer. Type an exact answer, using radicals as needed.)\fSuppose that the monthly cost, in dollars, of producing x chairs is C(x) = 0.005x + 0.07x + 19x + 600, and currently ni 70 chairs are produced monthly. a) What is the current monthly cost? b)What is the marginal cost when x = 70? c)Use the result from part (b) to estimate the monthly cost of increasing production to 72 chairs per month. d)What would be the actual additional monthly cost of increasing production to 72 chairs monthly? a) The current monthly cost is $ (Round to the nearest cent as needed.) b) The marginal cost when x = 70 is $ per item. (Round to the nearest cent as needed.) c) Use the result from part (b) to estimate the monthly cost of increasing production to 72 chairs per month. The monthly cost in increasing production to 72 chairs monthly is $ (Round to the nearest cent as needed.) d) The actual additional monthly cost of increasing production to 72 chairs monthly is $ (Round to the nearest cent as needed.)