Question

The weekly demand function for *x* units of a product
sold by only one firm is

p = 300 −

1 |

2 |

x dollars,

and the average cost of production and sale is

C = 200 + 2x dollars.

(a) Find the quantity that will maximize profit.

units

(b) Find the selling price at this optimal quantity.

$ per unit

(c) What is the maximum profit?

Answer #1

if satisfied with the explanation, please rate it up..

The weekly demand function for x units of a product
sold by only one firm is p = 400 − 1/2x dollars, and the average
cost of production and sale is
C = 100 + 2x dollars.
(a) Find the quantity that will maximize profit.
units
(b) Find the selling price at this optimal quantity.
$ per unit
(c) What is the maximum profit?
$
The weekly demand function for x units of a product sold by only
one firm is...

The weekly demand function for x units of a product
sold by only one firm is
p = 600 −1/2x dollars
,
and the average cost of production and sale is
C = 300 + 2x dollars.
(a) Find the quantity that will maximize profit.
units
(b) Find the selling price at this optimal quantity.
$ per unit
(c) What is the maximum profit?
$

The monthly demand function for x units of a product
sold by a monopoly is
p = 6,100 −
1/2x2 and its average cost
is C = 3,030 + 2x dollars. Production is
limited to 100 units.
a) Find the profit function, P(x), in dollars.
b) Find the number of units that maximizes profits. (Round your
answer to the nearest whole number.)
c) Find the maximum profit. (Round your answer to the nearest
cent.)

The monthly demand function for a product sold by a monopoly is
p = 2200 − (1/3)x^2 dollars, and the average cost is C = 1000 + 10x
+ x^2 dollars. Production is limited to 1000 units and x is in
hundreds of units.
(a) Find the quantity (in hundreds of units) that will give
maximum profit.
(b) Find the maximum profit. (Round your answer to the nearest
cent.)

Cost, revenue, and profit are in dollars and x is the number of
units. A firm knows that its marginal cost for a product is MC = 3x
+ 30, that its marginal revenue is MR = 70 − 5x, and that the cost
of production of 60 units is $7,380. (a) Find the optimal level of
production. units (b) Find the profit function. P(x) = (c) Find the
profit or loss at the optimal level. There is a of...

The demand function for a monopolist's product is
p=1300-7q and the average cost per unit for producing q
units is
c=0.004q2-1.6q+100+5000/q
-Find the quantity that minimizes the average cost function and
the corresponding price. Interpret your results.
-What are the quantity and the price that maximize the profit?
What is the maximum profit? Interpret your result.

The demand function for a certain product is p = 3000, where q
is the quantity of the product produced and q sold while p is the
unit price when q units are produced.
Find the point elasticity of demand when q = 300.
Is the demand elastic, inelastic, or unit elastic when q =
300?

The revenue and cost functions for a particular product are
given below. The cost and revenue are given in dollars, and
x represents the number of units .
R(x) = −0.2x2 + 146x
C(x) = 66x + 7980
(a) How many items must be sold to maximize the revenue?
(b) What is the maximum revenue?
(c) Find the profit function.
P(x) =
−.2x2+212x+7980
(d) How many items must be sold to maximize the profit?
(e) What is the maximum profit?...

Unendo, is a large computer game
manufacturer.
They have estimated that the demand
function for their game "Call of Duty:WWIII" is as
follows ...
p = 89 - 0.05q;
where p is the price of a game and q
is the number of game produced and sold per week.
They estimate that their cost function in
dollars is ...
C(q) = 25q + 5000;
where the fixed cost is $5000 and the marginal cost is
$25 per game
Unendo wishes...

Unendo, is a large computer game
manufacturer.
They have estimated that the demand function
for their game "Star Wars Battlefront III" is as
follows...
p = 76 - 0.05q
where p is the price of a game and q
is the number of game produced and sold per week.
They estimate that their cost function in
dollars is ...
C(q) = 16q + 5000;
where the fixed cost is $5000 and the marginal cost is
$16 per game
Unendo wishes...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 3 minutes ago

asked 4 minutes ago

asked 5 minutes ago

asked 7 minutes ago

asked 7 minutes ago

asked 7 minutes ago

asked 7 minutes ago

asked 13 minutes ago

asked 13 minutes ago

asked 15 minutes ago

asked 16 minutes ago

asked 17 minutes ago