Question

suppose r(x) = 50x-0.5x^2 and c(x) = 10x+3 are the total revenue
and total cost functions respectively

a)what is the profit function p(x) ?

b) what is the maximum proffit? when does it occur

Answer #1

The total revenue function for a certain product is given by
R=590x dollars, and the total cost function for this product
is
C=15,000 +50x + x squared 2 dollars, where x is the number of
units of the product that are produced and sold.
a.
Find the profit function.
b.
Find the number of units that gives maximum profit.
c.
Find the maximum possible profit.

A company determines its total revenue and total cost functions
for producing and selling x items are given by
R(x)=600x−2x2, andC(x)=200+10x.
If the company produces and sells 2 additional items every day
(in other words, dxdt=2), what is the rate of change of profit with
respect to time when they've produced and sold 10 items?

A company manufactures microchips. Use the revenue function R(x)
= x(75-3x) and the cost function C(x) = 125+14x to answer parts (A)
through (D), where x is in millions of chips and R(x) and C(x) are
in millions of dollars. Both functions have domain 1≤ x ≤ 20.
(D) Find the value of x (to the nearest thousand chips) that
produces the maximum profit. Find the maximum profit (to the
nearest thousand dollars), and compare it to the maximum revenue....

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?...

A commodity has a demand function modeled by p = 103 − 0.5x and
a total cost function modeled by C = 30x + 31.75, where x is the
number of units.
(a) What price yields a maximum profit?
(b) When the profit is maximized, what is the average cost per
unit? (Round your answer to two decimal places.)

(1 point) The total revenue and total cost functions for the
production and sale of x x TV's are given as R(x)=120x−0.1x2 R ( x
) = 120 x − 0.1 x 2 and C(x)=3380+17x. C ( x ) = 3380 + 17 x . (A)
Find the value of x x where the graph of R(x) R ( x ) has a
horizontal tangent line. x x values is (B) Find the profit function
in terms of x x...

assume that revenue, R(x), and cost, C(x), of producing x units
are in dollars:
R(x)=9x-2x^2 C(x)=x^3 - 3x^2 +4x +1
how many units must be produced to maximize profit? what is the
maximum profit as a dollar amount?

Cost, revenue, and profit are in dollars and x is the
number of units.
Suppose that the total revenue function for a product is
R(x) =
55x
and that the total cost function is
C(x) = 2200 +
35x + 0.01x2.
(a) Find the profit from the production and sale of 500
units.
(b) Find the marginal profit function
(c) Find MP at x = 500.
Explain what it predicts.
The total profit will ------ by approximately $------- on the...

1) Suppose the cost in dollars of manufacturing q item is given
by: C= 2000q + 3500
and the demand equation is given by: q= sqrt(15,000-1.5p)
in terms of the demand q,
a) find an expression for the revenue R
b) find an expression for the profit P
c) find an expression for the marginal profit
d) Determine the value of the marginal profit when the price is
$5000
2) A manufacturer sells video games with the following cost and...

find the rate of change of total revenue, cost, and profit with
respect to time. Assume that R(x) and C(x) are in dollars.
R(x) = 50x - 0.5x2, C(x) = 2x + 10, when x = 35 and
dx / dt = 15 units per day
A.) the rate of change of total revenue is $ _____ per day
B.) the rate of change of total cost is $ _______ per day
C.) the rate of change of total profit...

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