Question
In: Math
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) =
Solutions
milcah answered 2 years agoRelated Solutions
Price Market Quantity Demanded Social Quantity Demanded ($) (units per month) (units per month) 20 10...
Price
Market Quantity Demanded
Social Quantity Demanded
($)
(units per month)
(units per month)
20
10
20
18
20
30
16
30
40
14
40
50
12
50
60
10
60
70
b. Does this product have external
benefits or external costs?
External benefits
c. How large ($) is that
externality?
? per unit
The management of the S&S Company has determined that the quantity demanded x of their Super...
The management of the S&S Company has determined that the
quantity demanded x of their Super Star tires per week is related
to the unit price p by the relation
? = 144−?2
where p is measured in dollars and x is measured in units of a
thousand. S&S will make x units of tires available in the
market if the unit price is
? = 48+1/2x^2
Determine the consumers’ surplus and the producers’ surplus when
the market unit price...
TMA manufactures 37-in. high definition LCD televisions in two separate locations, Locations I and II. The...
TMA manufactures 37-in. high definition LCD televisions in two
separate locations, Locations I and II. The output at Location I is
at most 6000 televisions/month, whereas the output at Location II
is at most 5000 televisions/month. TMA is the main supplier of
televisions to the Pulsar Corporation, its holding company, which
has priority in having all its requirements met. In a certain
month, Pulsar placed orders for 3000 and 4000 televisions to be
shipped to two of its factories located...
Steven’s Televisions produces television sets in three categories: portable, midsize, and flat-screen. On January 1, 2020,...
Steven’s Televisions produces television sets in three
categories: portable, midsize, and flat-screen. On January 1, 2020,
Steven adopted dollar-value LIFO and decided to use a single
inventory pool. The company’s January 1 inventory consists
of:
Category
Quantity
Cost per Unit
Total Cost
Portable
13,800
$100
$ 1,380,000
Midsize
18,400
250
4,600,000
Flat-screen
6,900
400
2,760,000
39,100
$8,740,000
During 2020, the company had the following purchases and
sales.
Category
Quantity
Purchased
Cost per Unit
Quantity
Sold
Selling Price
per Unit
Portable...
Adams’s Televisions produces television sets in three categories: portable, midsize, and flat-screen. On January 1, 2017,...
Adams’s Televisions produces television sets in three
categories: portable, midsize, and flat-screen. On January 1, 2017,
Adams adopted dollar-value LIFO and decided to use a single
inventory pool. The company’s January 1 inventory consists of:
Category Quantity Cost per Unit Total Cost Portable 6,300 $125 $
787,500 Midsize 7,700 313 2,410,100 Flat-screen 2,900 500 1,450,000
16,900 $4,647,600 During 2017, the company had the following
purchases and sales. Category Quantity Purchased Cost per Unit
Quantity Sold Selling Price per Unit Portable...
1. TMA manufactures 37-in. high definition LCD televisions in two separate locations, Locations I and II....
1. TMA manufactures 37-in. high definition LCD televisions in
two separate locations, Locations I and II. The output at Location
I is at most 6000 televisions/month, whereas the output at Location
II is at most 5000 televisions/month. TMA is the main supplier of
televisions to the Pulsar Corporation, its holding company, which
has priority in having all its requirements met. In a certain
month, Pulsar placed orders for 3000 and 4000 televisions to be
shipped to two of its factories...
Problem 8-08 Anthony’s Televisions produces television sets in three categories: portable, midsize, and flat-screen. On January...
Problem 8-08
Anthony’s Televisions produces television sets in three categories:
portable, midsize, and flat-screen. On January 1, 2020, Anthony
adopted dollar-value LIFO and decided to use a single inventory
pool. The company’s January 1 inventory consists of:
Category
Quantity
Cost per Unit
Total Cost
Portable
15,600
$100
$ 1,560,000
Midsize
20,800
250
5,200,000
Flat-screen
7,800
400
3,120,000
44,200
$9,880,000
During 2020, the company had the following purchases and
sales.
Category
Quantity
Purchased
Cost per Unit
Quantity
Sold
Selling Price
per...
Price Quantity Supplied Quantity Demanded 8 50 20 7 40 25 6 30 30 5 20...
Price
Quantity Supplied
Quantity Demanded
8
50
20
7
40
25
6
30
30
5
20
35
4
10
40
Draw the supply curve and demand curve independently in a
separate graph.
Write the demand equation and the supply equation.
Combine both curves in one graph and show the equilibrium price
and quantity.
What is the quantity demanded when the price is $10?
Is there a shortage or surplus when the price equals
$8? What about $4?
The quantity demanded x (in units of a hundred) of the Mikado miniature cameras/week is related...
The quantity demanded x (in units of a hundred) of the Mikado
miniature cameras/week is related to the unit price p (in dollars)
by p = −0.2x^2 + 220 and the quantity x (in units of a hundred)
that the supplier is willing to make available in the market is
related to the unit price p (in dollars) by p = 0.1x^2 + 8x + 110
If the market price is set at the equilibrium price, find the
consumers' surplus...
When economists want to obtain a measure of the responsiveness of quantity demanded for Good X...
When economists want to obtain a measure of the responsiveness
of quantity demanded for Good X to changes in the price of Good X,
they use
the cross-price elasticity of demand.
only the percentage change in quantity demanded.
the price elasticity of demand.
the slope of the demand curve.
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