5. [-/1 Points] DETAILS TANAPCALC10 3.4.011. MY NOTES ASK YOUR TEACHER Marginal Profit for Producing Loudspeakers Acrosonic's production department estimates that the total cost (in dollars) incurred in manufacturing x ElectroStat speaker systems in the first year of production will be represented by the following function, where R(x) is the revenue function in dollars and x denotes the quantity demanded. Find the following functions (in dollars) and compute the values (in dollars) C(x) = 100x + 11,000 and R(x) = -0.04x2+ 800x (a) Find the profit function P. P(x) = (b) Find the marginal profit function P'. P'(X) = (c) Compute the following values. P'(3,100) = P'(9,600) = Show My Work (Optional)