Question

In this problem, p is the price per unit in dollars and q is the number of units. If the demand and supply functions of a product are p = 6500 − 5q − 0.7q2 and p = 500 + 10q + 0.3q2, respectively, find the tax per unit t that will maximize the tax revenue T. t = $ /item

Answer #1

In this problem, p is the price per unit in dollars and
q is the number of units.
If the demand and supply functions of a product are
p = 5000 − 20q −
0.7q2 and p = 500 +
10q + 0.3q2,
respectively, find the tax per unit t that will
maximize the tax revenue T.
T= $/Item

In this problem, p is the price per unit in dollars and
q is the number of units.
If the demand and supply functions for a product are
p = 840 ? 2q and p = 100 +
0.5q,
respectively, find the tax per unit t that will
maximize the tax revenue T.

In this problem, p is the price per unit in dollars and
q is the number of units.
If the weekly demand function is
p = 120 − q
and the supply function before taxation is
p = 8 + 6q,
what tax per item will maximize the total revenue?
$____ /item

The price per unit of a product is p dollars and the number of
units of the product is denoted by q. The supply function for a
product is given by (20,000/q)+15, and the demand for the productis
given by p=(120+q)/4.
Is the supply function a linear function or a shifted reciprocal
function?
Is the demand function a shifted linear function or a shifted
reciprocal function?

Suppose the demand and supply functions for a product are P=
2800-8q-1/3q^2 and p = 400+2q, respectively, where p is in dollars
and q is the number of units. Find q that will maximize the tax
revenue

1. In this problem, p and C are in dollars and
x is the number of units.
A monopoly has a total cost function
C = 1000 + 216x + 0x2 for
its product, which has demand function p = 648 ?
3x ? 2x2.
Find the consumer's surplus at the point where the monopoly has
maximum profit. (Round your answer to the nearest cent.)
2. In this problem, p is in dollars and x is
the number of units....

The short term demand for a product can be approximated by q =
D(p) = 18 − 2 √p where p represents the price of the product, in
dollars per unit, and q is the number of units demanded. Determine
the elasticity function. Use the elasticity of demand to determine
if the current price of $50 should be raised or lowered to maximize
total revenue.

In this problem, p is in dollars and x is the number of units.
Find the producer's surplus at market equilibrium for a product if
its demand function is p = 100 − x2 and its supply function is p =
x2 + 6x + 44. (Round your answer to the nearest cent.)

JMC manufacturers sells 500 units per week at 29 dollars per
unit. If the price is reduced by one dollar, 20 more units will be
sold. In addition, the cost function for JMC Manufacturers is also
given by ?(?) = 40? + 10000
a. To maximize the revenue, find the following:
I. [2 marks]. The number of units sold number of units sold.
II. [2 marks]. The maximum revenue.
b. [2 marks]. Find the value of x that maximizes the...

Total revenue is in dollars and x is the number of
units.
Suppose that in a monopoly market, the demand function for a
product is given by
p = 450 − 0.1x
where x is the number of units and p is the
price in dollars.
(a) Find the total revenue from the sale of 500 units.
$
(b) Find the marginal revenue MR at 500 units.
MR = $
Interpret this value.
The 501st unit will lose |MR| dollars...

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