ent-Responses/last?dep=29688167 1. [-/4 Points] DETAILS TANAPCALC10 3.4.003. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Marginal Cost The total weekly cost (in dollars) incurred by Lincoln Records in pressing x compact discs is given by the following function. C(x) = 2000 + 2x - 0.0001x2 (0 0, the rate of change of the average cost function is positive for all x > 0. Since the marginal average cost function is negative for x > 0, the rate of change of the average cost function is negative for all x > 0. Since the marginal average cost function is positive for x >. 0, the rate of change of the average cost function is negative for all x > 0. O Since the marginal average cost function is negative for x > 0, the rate of change of the average cost function is positive for all x > 0. Need Help? Read It Watch It 4. [-/2 Points] DETAILS TANAPCALC10 3.4.008. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Average Cost for Producing Microwaves Let the total cost function C(x) be defined as follows. C(x) = 0.0005x - 0.09x2+ 105x + 6,000 Find the average cost function C. C ( x ) = Find the marginal average cost function C'. C' ( x ) =Marginal Revenus of a Commuter Air Service|Williams Commuter Air Service realizes a monthly revenue represented by the following function, where R(x) is measured in dollars and the price charged per passenger is x dollars. R(X) - 4,800x - 120x2 (a) Find the marginal revenue R'(x). R' (X) - (b) Compute the following values. R'(19) = R'(20) = R'(21) = (c) Based on the results of part (b), what price (in dollars) should the airline charge in order to maximize their revenue? $ Need Help? Read It Master it 6. [-/5 Points] DETAILS TANAPCALC10 3.4.010. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Marginal Revenue for Producing Loudspeakers The management of Acrosonic plans to market the ElectroStat, an electrostatic speaker system. The marketing department has determined that the demand for these speakers is represented by the following function, where p denotes the speaker's unit price (in dollars) and x denotes the quantity demanded. Find the following functions (in dollars), find the value (in dollars) and interpret your results. p = -0.02x + 620 (0 S X s 20,000) (a) Find the revenue function R. R (X ) - (b) Find the marginal revenue function R'(x). R'( x ) = (c) Compute the following value. R'(6,200) - Interpret your results, When the level of production is units, the production of the next speaker system will bring an additional revenue of dollars.7. [-/4 Points] DETAILS TANAPCALC10 3.4.011. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER 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) = 170x + 19,000 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'(3,800) = P'(9,900) = Need Help? Read It Watch It 8. [-/2 Points] DETAILS TANAPCALC10 3.4.012. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Marginal Revenue for an Apartment Complex Lynbrook West, an apartment complex, has 100 two-bedroom units. The monthly profit (in dollars) realized from renting x apartments is represented by the following function. P(x) = -6x2+ 1960x - 41000 (a) What is the actual profit realized from renting the 61st unit, assuming that 60 units have already been rented? $ (b) Compute the marginal profit when x = 60 and compare your results with that obtained in part (a). $ Need Help? Read It Watch It9. [-/11 Points] DETAILS TANAPCALC10 3.4.013. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER demanded. Marginal Cost, Revenus, and Profit for Producing LED TVs The weekly demand for the Pulsar 25 color LED television is represented by p, where p denotes the wholesale unit price in dollars and x denotes the quantity P - 650 - 0.06x (0