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Question 1164719: A Manufacturer of microcomputers produces three different models as shown in Table 2.
The following summarizes wholesale prices, material cost per unit, and labor cost per unit.
Annual fixed cost are $25 million.

Model 1 Model 2 Model 3

Wholesale price/unit 500 1000 $1500
Material Cost / unit 175 400 750
Labor cost / unit 100 150 225

i. Determine a joint revenue function for sales of the three different microcomputer models
ii. Determine the annual costs function for the manufacturing the three models.
iii. Determine the profit function for sales of the three models?

Click here to see answer by ikleyn(53646)

Question 1165088: Use interval notation to indicate the domain of
f(x)=4\sqrt(x^(2-)8x)
and
g(x)= 5\sqrt(5x^(2)-14x)
The domain of f(x) is
The domain of g(x) is
Click here to see answer by MathLover1(20854)

Question 730763: what expression is equivalent to (-2)^8
a.[(-2)^4]^4 or b.[(-2)^5]^3
Click here to see answer by ikleyn(53646)

Question 730784: do the following systems of equations have one solution, no solution, or infinite solutions?
2y-6x=16
-3x+y=8
Click here to see answer by timofer(145)

Question 730784: do the following systems of equations have one solution, no solution, or infinite solutions?
2y-6x=16
-3x+y=8
Click here to see answer by josgarithmetic(39749)

Question 730784: do the following systems of equations have one solution, no solution, or infinite solutions?
2y-6x=16
-3x+y=8
Click here to see answer by ikleyn(53646)

Question 201773: 6. The function f(x) gives the lake level over the passt year,with x measured in days and y, that is, the f(x) values, measured in inches above last year's mean height.
A. What it the real-world meaning of f(60)?
B. What is the real-world meaning of f(x)=-3?
C. What is an interpretation of f(x)=f(150?
Click here to see answer by ikleyn(53646)

Question 201509: ln(4x)=ln(x-5). Solve, can you please help me?

Click here to see answer by ikleyn(53646)

Question 1165339: If tan β = 4/5 then, without a calculator, find tan( π/2 - β) and express the answer as a fraction.
Click here to see answer by noahmogs(1)

Question 499523: please help me solve this equation f(x) 2x squared + 16x+28
Click here to see answer by ikleyn(53646)

Question 1210401: 9p^2+6p-8

Click here to see answer by Edwin McCravy(20077)

Question 1210401: 9p^2+6p-8

Click here to see answer by greenestamps(13305)

Question 1210401: 9p^2+6p-8

Click here to see answer by mccravyedwin(419)

Question 1210401: 9p^2+6p-8

Click here to see answer by josgarithmetic(39749)

Question 1210401: 9p^2+6p-8

Click here to see answer by ikleyn(53646)

Question 1167792: Let H = {(1),(13)(24)} in A4 .
(a) Show that H is not normal in A4.
(b) Show that (123)H = (243)H and (124)H = (132)H but that (123)(124)H 6= (243)(132)H . This proves that the group operation we defined on the set of (left) cosets G/H is not well defined unless we know that the subgroup H is normal.
Click here to see answer by CPhill(2189)

Question 1167049: The function f(x) is transformed to produce a function g(x) where g(x)=−2f(5x)−5. If (−9,4) is a point on the graph of f(x), give the coordinates of the transformed point on the graph if g(x).
Click here to see answer by ikleyn(53646)

Question 1209938: Let f be a function such that
f(x) + f(2x + y) + 5xy = f(4x - y) - x^2 + 5xy - 8x + 17y + 1
for all real numbers x and y. Find f(10).

Click here to see answer by ikleyn(53646)

Question 1179791: If the area (in square units) of the region under the curve of the function f(x) = 3x − 1 on the interval [a, 4], where a < 4, is 12 square units, identify all the possible values of a.
what values are correct?
a. -3
b. 0
c. -16/5
d. 8/3
e. -2
f. 7/2
Click here to see answer by ikleyn(53646)

Question 1168203: Customers at the Palace Pro Shop receive a 10% discount if they are members. All
customers must pay 7% in sales tax. The function f (x ) = 0.9x
is used to determine the price of an item after the 10% member discount, where
x is the regular price of the item. The function g(x ) = 1.07x
is used to determine the total amount customers pay for a purchase after all discounts are applied. Which function can be used to determine
T (x ), the total amount a member pays for an item with a regular price of
x dollars?
A.
T (x ) = 0.963x
B.
T (x ) = 0.17x
C.
T (x ) = 1.19x
D.
T (x ) = 1.97x
Click here to see answer by MathLover1(20854)

Question 1168204: The expression below represents the total cost, in dollars, for Thomas to purchase some new clothes, including tax.
1.065 (30 + 20x )
If x represents the number of shirts Thomas purchases, which of the following
statements are correct? Select all that apply.
A. Each shirt costs $30.
B. Each shirt costs $20.
C. The sales tax is 6.5%.
D. Thomas receives a 6.5% discount.
E. The cost of a shirt with tax is $21.30.
F. The cost of a shirt is $18.70 with the discount.
Click here to see answer by MathLover1(20854)

Question 1168270: Let f(x)=4x^2+5x+4 and let g(h)= f(1+h)−f(1)/h
Determine each of the following:
(a) g(1)=
(b) g(0.1)=
(c) g(0.01)=

You will notice that the values that you entered are getting closer and closer to a number L. This number is called the limit of g(h)as h approaches 0 and is also called the derivative of f(x) at the point when x=1.
Enter the value of L:
Click here to see answer by MathLover1(20854)

Question 1165363: if f, g, and h are functions, and m and b are real numbers such that h(x)=(1-x)g(x)+2=(2-x)f(x)-1=mx+b, for all x, find the values of m and b.
Click here to see answer by ikleyn(53646)

Question 1209971: The function f : \mathbb{R} \rightarrow \mathbb{R} satisfies
xf(x) + f(1 - x)/x = x^3 + 3x^2 + 14x - 13
for all real x. Find f(x).
Click here to see answer by CPhill(2189)

Question 1209953: Let F(x) be the real-valued function defined for all real x except for x = 1 and x = 2 and satisfying the functional equation
F(x) + F \left( \frac{2x - 3}{x - 1} \right) + F \left( \frac{1}{x} \right) = x.
Find the function F(x) satisfying these conditions. Write F(x) as a rational function with expanded polynomials in the numerator and denominator.

Click here to see answer by ikleyn(53646)

Question 1209949: The function f : \mathbb{R} \rightarrow \mathbb{R} satisfies
f(x) f(y) - f(xy) = -2x - 6y + 10
for all x, y \in \mathbb{R}. Find f(x).
Click here to see answer by greenestamps(13305)

Question 1209955: Suppose that f(x) and g(x) are functions which satisfy
f(g(x)) = x^2 \quad \text{and} \quad g(f(x)) = x^4
for all x \ge 1. If g(16) = 1, then compute \log_2 g(2).
Click here to see answer by CPhill(2189)

Question 1209952: The function f(n) is defined for all integers n, such that
f(x) + f(y) = f(x + y) - 4xy - 1 + f(x^2) + f(y^2)
for all integers x and y, and f(1) = 1. Find f(n).

Click here to see answer by ikleyn(53646)

Question 1209954: Suppose f(x) is a rational function such that
3 f \left( \frac{1}{x} \right) - \frac{f(x)}{x} = x
for all $x \neq 0$. Find f(-2).

Click here to see answer by CPhill(2189)

Question 1209950: The function f(n) takes the integers to the real numbers such that
f(m + n) + f(m - n) = 2f(m) + 2f(n) + mn
for all integers m and n, and f(1) = 2. Find f(n).

Click here to see answer by ikleyn(53646)

Question 1209948: Let f be a function defined on the positive integers, such that
f(xy) = f(x) + f(y)
for all positive integers x and y. Given that f(5) = 6, f(65) = 7, f(86) = 9, f(93) = 10, find (120).
Click here to see answer by ikleyn(53646)

Question 1209945: The function f has the following properties:
* f(a,b) is defined for all positive integers a and b
* f(a,1) = a
* f(a,b) = 1 if b > a
* f(a + 1,b) = b[f(a,b) - f(a,b - 1)]

Compute f(4,1) + f(4,2) + f(4,3) + f(4,4).

Click here to see answer by CPhill(2189)

Question 1209937: Let f be a function such that
f(xy) + x = xf(y) + f(x) + xy^2
for all real numbers x and y. If f(-1) = 3, then compute f(100).

Click here to see answer by mccravyedwin(419)

Question 1209937: Let f be a function such that
f(xy) + x = xf(y) + f(x) + xy^2
for all real numbers x and y. If f(-1) = 3, then compute f(100).

Click here to see answer by Edwin McCravy(20077)

Question 1209937: Let f be a function such that
f(xy) + x = xf(y) + f(x) + xy^2
for all real numbers x and y. If f(-1) = 3, then compute f(100).

Click here to see answer by ikleyn(53646)

Question 1209940: The function f has the following properties:
* f(x) is defined for x > 0
* f(x) > 0 for all x > 0
* f(x - y) = \sqrt{f(xy) + 4x + 4y + 8} for all x > y > 0

Determine f(1).

Click here to see answer by AnlytcPhil(1810)

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