Marginal Cost The total weekly cost (In dollars) Incurred by Lincoln Records In pressing x compact discs Is glven by the following function. C(x) = 2000 + 2x moon2 (0 s x s 6000) (a) What is the actual cost incurred in producing the 10615t and the 20515t disc? (Round your answers to the nearest cent.) 10615t disc s :] 205m disc s |:] (b) What is the marginal cost when x = 1060 and 2050? (Round your answers to the nearest cent.) s: s: Need Help? _ 2. [-14 Points] TANAPCALC10 3.4.005. PRACTICE ANOTHE Marginal Average Cost for Producing Desks Custom Ofce makes a line of executive desks. It is estimated that the total cost for making x units of their Senior Executive model is represented by the following function, where C01) is measured i dollars/year. Find the following functions (in dollars) and interpret your results. C(X) = 90X + 220,000 (3) Find the avemge cost function E. Em = (b) Find the marginal average cost function E'. E'(x) = (c) What happens to x) when x is very large? "m Em = I: xum Interpret your results. 0 This value is what the average cost per unit approaches if the production level is very low. 0 This value is what the average cost per unit approaches if the production level is very high. 0 This value Is what the production level approaches If the average cost per unit Is very high. 0 This value Is what the production level approaches If the average cost per unit Is very low. 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) = 3,200x - 80x2 (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 4. [-/5 Points] DETAILS TANAPCALC10 3.4.010. MY NOTES 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. = -0.02x + 750 (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'(7,900) = Interpret your results. When the level of production is units, the production of the next speaker system will bring an additional revenue of dollars.5. [-/4 Points] DETAILS TANAPCALC10 3.4.011. MY NOTES 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) = 160x + 35,000 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'(3,000) = P'(9,300) = Need Help? Read It Watch It 6. [-/2 Points] DETAILS TANAPCALC10 3.4.012. MY NOTES 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 + 1660x - 49000 (a) What is the actual profit realized from renting the 41st unit, assuming that 40 units have already been rented? $ (b) Compute the marginal profit when x = 40 and compare your results with that obtained in part (a). $7. [-I3 Points] I DETAILS TANAPCALC10 3.4.017.MI. Marginal Revenue for Gaming Mice The quantity of Sensitech laser gaming mice demanded each month is related to the unit price by the equation 40 p=2 (OSXSZO) 0.03x +1 where p is measured in dollars and x in units of a thousand. Find the following functions (in dollars) and compute the following. (a) Find the revenue function R. R(x) = (b) Find the marginal revenue function R'. R '(x) = (c) Compute R '(2). (Round your answer to three decimal places.) R'(2) = New Help? @@ 8. [-l4 Points] DETAILS TANAPCALC1O 3.4.027.EP. Consider the following demand equation. 3) x= 7 +24 (4\" Letx = f(p), with price p. Find f'(p). lr'(P) = Find the elasticity of demand, E(p). 509) = Compute the elasticity of demand and determine whether the demand is elastic, unitary, or inelastic at the price p = 11. E(11)=