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...
1. For the function P(x) = 4x^2 - 16 / x^2 -5x
find the
a) List X Intercept(s) if any
b) List Y Intercept(s) if any
c) List Horizontal Asymptote(s) if any
d) List Vertical Asymptote(s) if any
e) Domain
2. precalculus
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
Let R(x), C(x), and P(x) be, respectively, the revenue, cost,
and profit, in dollars, from the production and sales of x items.
If R(x) = 6x and C(x) = 0.004x^2+2.7x+70, find each of the
following:
a) P(x) =
b) R(150), C(150), and P(150)
c)R'(x), C'(x), P'(x)
d) R'(150), C'(150), and P'(150)
Let R(x), C(x), and P(x) be, respectively, the revenue, cost,
and profit, in dollars, from the production and sale of x items. If
R(x) = 6x and C(x) = 0.005x^2 + 2.5x + 40, find each of the
following.
a) P(x)
b) R(150), C(150), and P(150)
c) R'(x), C'(x), and P'(x)
d) R'(150), C'(150), and P'(150)
In this problem, p is in dollars and x is the
number of units.
Find the producer's surplus for a product if its demand function
is
p = 144 − x2 and its supply function is p =
x2 + 12x + 130.
(Round your answer to two decimal places.)
In this problem, p is in dollars and x is the
number of units.
The demand function for a certain product is
p = 123 − 2x2
and the supply...
For the function f(x) = x^2 +3x / 2x^2 + 7x +3 find the
following, and use it to graph the function.
Find: a)(2pts) Domain
b)(2pts) Intercepts
c)(2pts) Symmetry
d) (2pts) Asymptotes
e)(4pts) Intervals of Increase or decrease
f) (2pts) Local maximum and local minimum values
g)(4pts) Concavity and Points of inflection and
h)(2pts) Sketch the curve