The total revenue (in hundreds of dollars) from the sale of x
spas and y solar heaters is approximated by
R(x,y) = 11+196x+218y−8x^2−7y^2−4xy.
Find the number of each that should be sold to produce maximum
revenue. Find the maximum revenue.
Find the derivatives Rxx, Ryy, and Rxy.
Rxx=____
Ryy=____
Rxy=____
Selling spas _____ and _____solar heaters gives the maximum
revenue of $_____.
1)The total profit P(x) (in thousands of dollars) from a sale
of x thousand units of a new product is given by
P(x)= ln (-x3+9x2+48x+1) (0≤x≤10).
a) Find the number of units that should be sold in order to
maximize the total profit.
b) What is the maximum profit?
2)Suppose that the cost function for a product is given by
C(x)=0.003x3+9x+9,610.
Find the production level (i.e., value of x) that will produce
the minimum average cost per unit C(x).
a)The...
the total profit pix) (in thousands of dollars) from the sale of
x hundred thousand pillows is approximated by
P(x)=-x^3+12x^2+99x-2xx, x>5.
Find the number of hundred thousands of pillows that must be
sold to maximize profit. Find the maximum profit.
The maximum profit is $: _
The maximum profit will occur when __ pillows are sold
Pierce Manufacturing determines that the daily revenue, in
dollars, from the sale of x lawn chairs is R(x)equals0.005 x cubed
plus 0.05 x squared plus 0.4 x. Currently, Pierce sells 80 lawn
chairs daily. a) What is the current daily revenue? b) How much
would revenue increase if 85 lawn chairs were sold each day? c)
What is the marginal revenue when 80 lawn chairs are sold daily?
d) Use the answer from part (c) to estimate R(81), R(82), and...
question 1:
The total revenue received from the
sale of x units of a product is given by
TRx=
-3x^5 + 3/2
x^4+ x/4+
12square x+ 6y
Find the
Average revenue AR.
Marginal revenue MR.
MR at x = 4.
The actual revenue from selling10th item.
Write down different rule of derivative.
question 2 :
Calculate the principle amount borrowed from the bank for 20
months at a rate of 7 3/4 % per annum with interest of...
Let x be per capita income in thousands of dollars. Let y be the
number of medical doctors per 10,000 residents. Six small cities in
Oregon gave the following information about x and y. x 8.6 9.7 10.3
8.0 8.3 8.7 y 9.7 19.0 22.0 10.2 11.4 13.1 Complete parts (a)
through (e), given Σx = 53.6, Σy = 85.4, Σx2 = 482.72, Σy2 =
1344.7, Σxy = 784.51, and r ≈ 0.963.
(b) Verify the given sums Σx, Σy,...
Let x be per capita income in thousands of dollars. Let
y be the number of medical doctors per 10,000 residents.
Six small cities in Oregon gave the following information about
x and y.
x
9.0
9.4
10.2
8.0
8.3
8.7
y
9.5
18.0
21.2
10.2
11.4
13.1
Complete parts (a) through (e), given Σx = 53.6,
Σy = 83.4, Σx2 = 481.98,
Σy2 = 1269.3, Σxy = 761.13, and
r ≈ 0.864.
(b) Verify the given sums Σx, Σy,...
Let x be per capita income in thousands of dollars. Let y be the
number of medical doctors per 10,000 residents. Six small cities in
Oregon gave the following information about x and y. x 8.4 9.1 9.8
8.0 8.3 8.7 y 9.8 18.4 21.2 10.2 11.4 13.1 Complete parts (a)
through (e), given Σx = 52.3, Σy = 84.1, Σx2 = 457.99, Σy2 =
1289.65, Σxy = 747.71, and r ≈ 0.958. (a) Draw a scatter diagram
displaying the...
Let x be per capita income in thousands of dollars. Let y be the
number of medical doctors per 10,000 residents. Six small cities in
Oregon gave the following information about x and y. x 8.3 9.3 10.2
8.0 8.3 8.7 y 9.9 18.1 20.6 10.2 11.4 13.1 Complete parts (a)
through (e), given Σx = 52.8, Σy = 83.3, Σx2 = 468, Σy2 = 1255.59,
Σxy = 750.81, and r ≈ 0.974. (a) Draw a scatter diagram displaying
the...
If total revenue received from the sale of x items is given by
R(x)=10ln(5x+1), while the total cost to produce x items is
C(x)=x/5 find the following.
(a) The marginal revenue
(b) The profit function P(x)
(c) The marginal profit when x=50
(d) Interpret the results of part (c).