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company manufactures a series of 20-in. flat-tube LCD televisions. The quantity x of these sets demanded...

company manufactures a series of 20-in. flat-tube LCD televisions. The quantity x of these sets demanded each week is related to the wholesale unit price p by the following equation.

p = −0.007x + 190

The weekly total cost (in dollars) incurred by Pulsar for producing x sets is represented by the following equation. Find the following functions (in dollars) and compute the following values.

C(x) = 0.000004x3 − 0.02x2 + 150x + 65,000

(a)

Find the revenue function R.

R(x) =

Find the profit function P.

P(x) =

(b)

Find the marginal cost function C'.

C'(x) =

Find the marginal revenue function R'.

R'(x) =

Find the marginal profit function P'.

P'(x) =

(c)

Compute the following values. (Round your answers to two decimal places.)

C'(2,500) =

R'(2,500) =

P'(2,500) =

(d)

Sketch C(x).

2. Average Cost for Producing Microwaves Let the total cost function C(x) be defined as follows.

C(x) = 0.0003x3 − 0.02x2 + 114x + 4,300

Find the average cost function C.

C(x) =

Find the marginal average cost function C '.

C '(x) =

Expert Solution

milcah answered 2 years ago

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