Question

Given Cost and Price (demand) functions Upper C left parenthesis q right parenthesis equals 120 q plus 45000 and p left parenthesis q right parenthesis equals negative 2.1 q plus 900, what is the marginal revenue when profits are $14000?

Answer #1

Market supply and demand for ovens are given by p equals Upper S
left parenthesis q right parenthesis equals 1750 plus 5 q and p
equals Upper D left parenthesis q right parenthesis equals 2500
minus 10 q. The equilibrium price is $2000 per oven.
(a) Find the market surplus up to equilibrium using the
integral definition.
(b) Verify the market surplus by calculating
MSequalsCSplusPS.

For the demand function
q equals Upper D left parenthesis p right parenthesis equals 352
minus pq=D(p)=352−p,
find the following.
a) The elasticity
b) The elasticity at
pequals=118118,
stating whether the demand is elastic, inelastic or has unit
elasticity
c) The value(s) of p for which total revenue is a maximum
(assume that p is in dollars)

For the demand function
q equals Upper D left parenthesis x right parenthesis equals
StartFraction 400 Over x EndFractionq=D(x)=400x,
find the following.
a) The elasticity
b) The elasticity at
xequals=77,
stating whether the demand is elastic, inelastic, or has unit
elasticity
c) The value(s) of x for which total revenue is a maximum
(assume that x is in dollars)

The inverse demand curve a monopoly faces is p equals 15 Upper Q
Superscript negative 0.5. What is the firm's marginal revenue
curve? Marginal revenue (MR) is MRequals 7.5 Upper Q Superscript
negative 0.5. (Properly format your expression using the tools in
the palette. Hover over tools to see keyboard shortcuts. E.g., a
superscript can be created with the ^ character.) The firm's cost
curve is Upper C left parenthesis Upper Q right parenthesis equals
5 Upper Q. What is...

The cost, in dollars, of producing x belts is given by Upper C
left parenthesis x right parenthesis equals 805 plus 18 x minus
0.075 x squared. The revenue, in dollars, of producing and
selling x belts is given by Upper R left parenthesis x right
parenthesis equals 31 x Superscript six sevenths . Find the rate at
which average profit is changing when 676 belts have been produced
and sold. When 676 belts have been produced, the average profit...

A record club has found that the marginal profit,
Upper P prime left parenthesis x right parenthesisP′(x) ,
in cents, is given by
Upper P prime left parenthesis x right parenthesis equals
negative 0.0008 x cubed plus 0.35 x squared plus 52.9
xP′(x)=−0.0008x^3+0.35x^2+52.9x
for
x less than or equals x≤400 ,
where x is the number of members currently enrolled in the club.
Approximate the total profit when
240 members are enrolled by computing the sum
Summation from i equals...

Given Cost and Price (demand) functions
C(q)=120q+40000
and
p(q)=−2.4q+950,
what is the marginal revenue when profits are
$12000?

A proton moves through a uniform magnetic field given by
ModifyingAbove Upper B With right-arrow equals left-parenthesis
10.5ModifyingAbove i With caret minus 21.6ModifyingAbove j With
caret plus 22.1ModifyingAbove k With caret right-parenthesis mT. At
time t1, the proton has a velocity given by v Overscript
right-arrow EndScripts equals v Subscript x Baseline i Overscript
caret EndScripts plus v Subscript y Baseline j Overscript caret
EndScripts plus left-parenthesis 1.52? km/s right-parenthesis k
Overscript caret EndScripts and the magnetic force on the...

Let P(Z)equals=0.390.39, P(Y)equals=0.410.41, and
P(Zintersect∩Y)equals=0.170.17. Use a Venn diagram to find (a)
Upper P left parenthesis Upper Z prime intersect Upper Y prime
right parenthesisPZ′∩Y′, (b) Upper P left parenthesis Upper Z
prime union Upper Y prime right parenthesisPZ′∪Y′, (c) Upper P
left parenthesis Upper Z prime union Upper Y right
parenthesisPZ′∪Y, and (d) Upper P left parenthesis Upper Z
intersect Upper Y prime right parenthesisPZ∩Y′.

Given cost and price (demand) functions C(q)=100q+41,000 and
p(q)=−2.1q+850, what is the maximum revenue that can be
earned?
It would be:
A company produces a special new type of TV. The company has
fixed costs of $460,000, and it costs $1000 to produce each TV.
The company projects that if it charges a price of $2600 for the
TV, it will be able to sell 850 TVs. If the company wants to sell
900 TVs, however, it must lower the...

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