Question

1. The profit (in dollars) form the sale of x lawn movers is P(x)= 60x-0.06x2-350. (A) Find the average profit per mower if 30 mowers are produced.(Round to the nearest cent as needed) (B) Find the marginal average profit at a production level of 30 mowers, and interpret the results. (C) Use the results form parts(A) and (B) to estimate the average profit per mower if 31 mowers are produced.

Answer #1

The profit (in dollars) from the sale of x lawn mowers is
P(x)equals=80 x minus 0.08 x squared minus
65080x−0.08x2−650.
(A) Find the average profit per mower if
30 mowers are produced.
(B) Find the marginal average profit at a production level
of
30 mowers, and interpret the results.
(C) Use the results from parts (A) and (B) to estimate the
average profit per mower if
31 mowers are produced.

The total profit (in dollars) from the sale of x x answering
machines is P(x)=20x−0.5x2−280. P ( x ) = 20 x − 0.5 x 2 − 280. (A)
Find the exact profit from the sale of the 26th machine. Exact
Profit on 26th machine = (B) Use the marginal profit to approximate
the profit from the sale of the 26th machine. Approx. profit on
26th machine =

The total profit(in $) from the sale of x flatscreen television
sets is P(x) = 20x - 0.02x(square) -320
a) Find the average profit per television if 40 sets are
sold.
b) Find the Marginal Profit function.
c) Find the estimated profits from selling the 41st set.
d) Find the exact profits from selling the 41st set.

The total profit Upper P(x) (in thousands of dollars) from the
sale of x hundred thousand pillows is approximated by:
P(x) = -x^3 + 9x^2 + 165x - 200 , x ≥ 5
Find the number of hundred thousands of pillows that must be
sold to maximize profit. Find the maximum profit.

Write a word story for this problem
If total revenue received from the sale of x items is given by
R(x) =10ln(3x+1) while the total cost to produce x items is C(X)
=X/3
find the following.
(a) The marginal revenue
(b) The profit function P(x)
(c) The marginal profit when
X=30
(d) Interpret the results of part (c).

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....

Cost, revenue, and profit are in dollars and x is the
number of units.
Suppose that the total revenue function is given by
R(x) = 48x
and that the total cost function is given by
C(x) = 70 +
29x + 0.1x2.
(a) Find P(100).
P(100) =
(b) Find the marginal profit function MP.
MP =
(c) Find MP at x = 100.
MP(100) =
Explain what it predicts.
At x = 100, MP(100) predicts that cost will
increase by...

A construction company has an expenditure rate of E(x) = e^0.12x
dollars per day on a particular paving job and an income rate of
I(x) = 115.7 - e^0.12x dollars per day on the same job, where x is
the number of days from the start of the job. The company's profit
on that job will equal total income less total expenditures. Profit
will be maximized if the job ends at the optimum time, which is the
point where the...

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...

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...

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