Math 229 Lab 19: Section 15.1 Name: Use good notation and show all of your work. 1. Find the cost function for each marginal cost function. (a) C'(x) = 12/3 + 2, 8 units cost $58. (b) C'(x) = 0.030.012, fixed cost is $8 2. Find the demand function for each marginal revenue function. (a) R'(x) = 250 - 0.04x - 0.0913 (b) R'(x) = 700 - 0.0002r 3. The marginal profit for the Moorhead Freeze is given, in thousands of dollars, by P'(x) = v + ; where a is the sales volumes in thousands of hamburgers. The profit" is -$1000 when no hamburgers are sold. Find the profit function.d. The number of bachelor's degrees conferred in the US has be increasing steadily in recent decades. Based on the data from the National Center for Education Statistics, the rate of change of the number of bachelor's degrees {in thousands] can be approximated by the function Shit} = {l37t2 - .22t + 8.535, where t is the number of years since 197T]. [a] Find BU} given that about Sill degrees {h} Use part {a} to project the number of degrees were conferred in 1971]. that will he conferred in 225. 5. A. ball is thrown vertically upward from a height of H feet with an initial velocity of ll feet per second. [a] Find the position equation for the hall. {h} \"'hat is the maximum height of the hall