+374 points Previous Answers The demand function for the Luminar desk lamp is given by p = f(x) = -0.1x2 - 0.2x + 35 where x is the quantity demanded in thousands and p is the unit price in dollars. (a) Find f'(x). f'(x) = -.2x .2 (b) What is the rate of change of the unit price when the quantity demanded is 3000 units (x = 3)? $ - 8 per 1000 lamps What is the unit price at that level of demand? $ 34.7 12. 0/4 points Previous Answers The relationship between the amount of money x that Cannon Precision Instruments spends on advert company's total sales S(x) is given by the following function where x is measured in thousands of doll | + S(x) = -0.002x3 + 0.9x2 + 5x + 500 (0 sxs 200) x Find the rate of change of the sales with respect to the amount of money spent on advertising. E S'(x) = OO TOO! Are Cannon's total sales increasing at a faster rate when the amount of money spent on advertising is $170,000? $120,000 $170,000