Marginal CostThe 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 x 6000)(a)What is the actual cost incurred in producing the 1071st and the 1801st disc? (Round your answers to the nearest cent.)1071st disc$ 1801st disc$ (b)What is the marginal cost when x = 1070 and 1800? (Round your answers to the nearest cent.)1070$ 1800$

Marginal CostThe 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 x 6000)(a)What is the actual cost incurred in producing the 1071st and the 1801st disc? (Round your answers to the nearest cent.)1071st disc$ 1801st disc$ (b)What is the marginal cost when x = 1070 and 1800? (Round your answers to the nearest cent.)1070$ 1800$

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Marginal Average Cost for Producing Desks

Custom Office 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 C(x) is measured in dollars/year. Find the following functions (in dollars) and interpret your results.

C(x) = 90x + 60,000

(a)

Find the average cost function C.

C(x) =

(b)

Find the marginal average cost function C'.

C'(x) =

(c)

What happens to C(x) when x is very large?

limxC(x)=

/4 Points]DETAILSTANAPCALC10 3.4.005.

MY NOTES

ASK YOUR TEACHER

PRACTICE ANOTHER

Marginal Average Cost for Producing Desks

Custom Office 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 C(x) is measured in dollars/year. Find the following functions (in dollars) and interpret your results.

C(x) = 90x + 60,000

(a)

Find the average cost function C.

C(x) =

(b)

Find the marginal average cost function C'.

C'(x) =

(c)

What happens to C(x) when x is very large?

limxC(x)=

Average Cost for Producing MicrowavesLet the total cost function C(x) be defined as follows.C(x) = 0.0006x³ 0.07x² + 111x + 3,900Find the average cost function C.C(x) =

Find the marginal average cost function C'.C'(x) =

Marginal Revenus of a Commuter Air ServiceWilliams 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) = 4,000x 100x²(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?$

Marginal Revenue for Producing LoudspeakersThe 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 + 860 (0 x 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'(6,900) = Interpret your results.When the level of production is ___ units, the production of the next speaker system will bring an additional revenue of ____ dollars.