TeeVee Electronics, Inc., makes console and wide-

screen televisions. The equipment in the factory allows +

for making at most 450 console televisions and 200

wide-screen televisions in one month. It costs $600 per

unit to make a console television and $900 per unit to

make a wide screen television. The profit on each

console television is $125 per unit, while the profit for

each wide screen television is $200 per unit. During the -

month of November, the company can spend $360,000 to make these televisions. To

maximize profits, how many of each type should they make?

LET

Answers

Answer 1

Answer:

First we need to put all the given information in a table, that way we'll express it better into inequalities.

                                     Cost      Production Max.

Console screen (x)      $600              450

Wide-screen (y)           $900              200

                                 $360,000

We have:

[tex]600x+900y \leq 360,000[/tex]

Because they can't spend more than $360,000 in production.

[tex]x\leq 450\\y\leq 200[/tex]

Because the number of television is restricted.

The profit function is

[tex]P(x,y)=125x+200y[/tex] (this is the function we need to maximize).

First, we need to draw each inequality. The image attached shows the region of solution, which has vertices (0,200), (300,200), (450, 100) and (450,0).

Now, we test each point in the profit function to see which one gives the highest profit.

For (300,200):

[tex]P(300,200)=125(300)+200(200)=37,500+40,000=77,500[/tex]

300 console screen and 200 wide screen give a profit of $77,500.

For (450,100):

[tex]P(450,100)=125(450)+200(100)=56,250+20,000=76,250[/tex]

450 console screen and 100 wide screen give a profit of $76,250.

Therefore, to reach the maximum profits, TeeVee Electronic, Inc., must produce 300 console screen televisions and 200 wide-screen televisions to profit $77,500,
TeeVee Electronics, Inc., Makes Console And Wide-screen Televisions. The Equipment In The Factory Allows

Related Questions

Please help me find MAD for this

Answers

Answer:

I know I'm 10 days late on this, but the answer is 1.5

Step-by-step explanation:

1. Add 3+7+4+2:

[tex]3+7+4+2=16[/tex]

2. Divide it by 4 because we have 4 numbers being added:

[tex]\frac{16}{4} =4[/tex]

3. Subtract 4 from all numbers:

[tex]4-3=1, 7-4=3, 4-4=0,4-2=2[/tex]

4. Add the differences:

[tex]1+3+0+2=6[/tex]

5. Divide again by 4:

[tex]\frac{6}{4} =1.5[/tex]

SAT scores are normally distributed, with a mean of 1000 and a standard deviation of 200.
a) If you scored 950, what would be your percentile?
b) If you scored 1100, what percent of students scored better than you?
c) If your percentile was 92%, what did you score on the SAT?

Answers

Answer:

My sister is getting ready to prepare, I would say 1100 it means you are above.

Step-by-step explanation:

The table shows the cost in dollars, y, for renting a pair of snow skis or renting a snowboard for x days. Which function shows the combined cost in dollars, y, for renting two pairs of snow skis and two snowboards for x days? y = 45x + 60 y = 90x + 120 y = 25x + 25 y = 20x + 35

Answers

Answer: this is the right answer y = 90x + 120

Step-by-step explanation:

Write the polynomial in standard form. Then name the polynomial based on its degree and number of terms.
4x+9

Answers

Answer:

4x+9, 1st degree binomial

Step-by-step explanation:

It's already in standard form

evaluate this expression:
(1/5 x 5) ^5

Answers

Answer:

The answer is x ^5

PLZ I need help with the first problem!

Answers

Answer:

5/32

Step-by-step explanation:

You would change 1/2 to 2/4 so you can subract 1/2 from 3/4 .You do 3/4-2/4 and you get 1/4.Then you would multiply the height and width so you multiply 1/4 and 1 1/4 and 1/2.

Find Volume of water.

V=lwh

V= 1/2 x 1/2 x 5/4

V=5/16.

Find Volume of The whole shape.

V=lwh

V= 1/2 x 5/4 x 3/4

V=15/32.

Subtract : 15/32-5/16=5/32

VOLUME OF MISSING PART = 5/32 meters cubed

A spinner with 4 colors is spun for a total of 50 trials. Yellow was selected 10 times. What is the experimental probability of the spinner landing on yellow?
A. 2/25
B. 1/5
C. 1/4
D. 2/5

Answers

Answer:

b. 1/5

Step-by-step explanation:

10/50 = 1/5

Find the quotient.

1. 48÷3=
.

2. In the expression, 96 divided by 8 = a , the quotient a =
.

3. Divide 12 lizards into 6 equal groups. How many lizards are in each group?
There are
lizards in each group.

Answers

Answer:

48÷3=16

Step-by-step explanation:

In the expression, 96 divided by 8 = a , the quotient a =12

. Divide 12 lizards into 6 equal groups. How many lizards are in each group?

There are2

lizards in each group.

Answer:

1.    16

2.   6

3.    2

Step-by-step explanation:

A prediction for the volume at 105 seconds is 497 cm3.
Is this a reasonable prediction?
No, there is no recognizable pattern in the data
from which to make a prediction.
Yes, the first differences are all around -70, so a
linear function is a good model. Subtracting 70 from
567 results in 497 cm3.
No, the first differences are 15, so a linear function
is a good model. Subtracting 15 from 567 results in
552 cm3
Yes, the average rate of change is about 8.

Answers

Answer:

Step-by-step explanation:

Answer:

answer: B

Step-by-step explanation:

PLS I MARK BRAINLIEST I ONLY HAVE 30 MINS LEFT
You notice that another cupboard door is in the shape of a square that is divided into two isosceles triangles. You measure the height of the cupboard to be 16 "2" /"3" inches. What is the area of one of the triangles shown on the face of the cupboard door? Show your work AND I NEED TO KNOW HOW YOU DID IT IT SAYS SHOWYOUR WORK

Answers

Hello there i hope you are having a great day :) Your question: You notice that another cupboard door is in the shape of a square that is divided into two isosceles triangles. You measure the height of the cupboard to be 16 "2" /"3" inches. What is the area of one of the triangles shown on the face of the cupboard door? How to do it :1) 16 2/3 inches this would equal to 50/3 then all together that would equal to 250/9.2) Then you would divide it 250/9 ÷ 2 = 125/9 = 13 8/9 and that would be your answer.Hopefully that helps you ❤

What is the area of a rhombus if one diagonal is 6 centimeters and the other diagonal is 8 centimeters?

Answers

Answer:

24 cm²

Step-by-step explanation:

The area (A) is calculated as

A = [tex]\frac{1}{2}[/tex] product of the diagonals, that is

A = 0.5 × 6 × 8 = 24 cm²

Help please:( idk this

Answers

Answer:

48 degrees

Step-by-step explanation:

A triangles degrees all add up to 180

so

180-90= 90 (90 is a square corner)

90-42= 48 (42 is the other known degree)

Jackson at the collectibles fair. He has exactly $8 and will purchase a collectible from a vendor for $5. What percent of his money will Jackson spend on the purchase?

Answers

Answer:

62.5%

Step-by-step explanation:

Total money with Jackson = $8

Money spent for buying collectible  = $5

__________________________________________________

Percentage of any number A with respect to another number B is calculated by multiplying fraction A/B with 100

Numerically A as percentage of b will be expressed as (A/B)100 %

It means that if there are 100 items instead of B item then what will be the value of A.

______________________________________________________

Percentage of money spent = (Money spent for buying collectible /Total money with Jackson)

Substituting the total money and money spent for buying collectible

we have

Percentage of money spent  = 5/8 * 100 = 0.625*100 = 62.5%

Thus, 62.5% percent of his money will Jackson spend on the purchase of collectible.

In ΔNOP, the measure of ∠P=90°, OP = 31 feet, and NO = 39 feet. Find the measure of ∠N to the nearest tenth of a degree

Answers

Answer:

52.6

Step-by-step explanation:

If you drew the triangle correctly, NO would be the hypotenuse (39), PO would be a leg of the triangle(31) and the other leg NP is unknown (we dont need to care about that too much).  To find angle N, we can use trig.  We can use sin to figure this out since we are given a side opposite to angle N and we are given the hypotenuse.  (sin=opposite/hypotenuse).  However, since we are trying to figure out the angle, we have to use arc sin or [tex]sin^{-1}[/tex] on the calculator.  So if we type [tex]sin^{-1}[/tex](31/39), we get 52.6

I can explain more if you dont understand

Answer:

23

Step-by-step explanation:

What is the value of x?
A.2
B.3
C.6
D.7

Answers

Answer:

A

Step-by-step explanation:

Given 2 secants from a point outside the circle.

Then the product of the external part and the entire secant of one secant is equal to the product of the external part and the entire secant of the other secant, that is

(x + 1)(x + 1 + 11) = (x + 4)(x + 4 + 1)

(x + 1)(x + 12) = (x + 4)(x + 5) ← expand both sides

x² + 13x + 12 = x² + 9x + 20 ← subtract x² + 9x from both sides

4x + 12 = 20 ( subtract 12 from both sides )

4x = 8 ( divide both sides by 4 )

x = 2 → A

HURRY PLEASE!! WILL MARK THE BRAINLIEST

Which of the following are factors of the
polynomial?

Answers

Answer:

All of the above

Step-by-step explanation:

In mathematics, a polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables. Since, they all have a degree of 1 they are all polynomials.

If cos omega =
3
5
find tan omega

Answers

Answer:

mmm 30

Step-by-step explanation:

Percentages less than 100% definition

Answers

Answer:

fractions

Step-by-step explanation:

Answer:

A number or ratio expressed as a fraction of 100

Step-by-step explanation:

Use outside of percentages but reused under 100 when explained.

Steepness of a hill or gradient of a line =   rise/run x 100

On a graph the numbers go from 0 for flat, to 100% at 45 degrees, to infinity as it approaches vertical.

Percentage is Tangent of a circle as where it meets it angle it always is intercepted by the circumference or new angle and becomes less than 180 as it forms a leg of a shape, or a side and 1% represents 100 x 0.01000033334% in Radians as another example. we multiply by 100 and get 1 Rad or a 180 degree line.  Broadness of usefulness in percentage is the ratio so 1% of a radian can be the decimal above, and 100% of 1 rad = 180/pi =57.2957 We find a semi-circle has an arc length of pi*r and also that it is 180 degrees. From that you can conclude that the number of degrees in a radian is 180/pi and shows 50% of the circle but 100% of 1 radian.

If 50% of an item is 22.00 what is the original price ?

Answers

Answer:

$44

Step-by-step explanation:

Answer:

44

Step-by-step explanation:

Find "G". Round to two
decimal places.
G= R+ab/at
R=257
a=4.88
b=37.4
t=61.5​

Answers

Answer:

G ≈ 1.46

Step-by-step explanation:

Given

G = [tex]\frac{R+ab}{at}[/tex] , substitute values

G = [tex]\frac{257 4.88(37.4)}{4.88(61.5)}[/tex]

   = [tex]\frac{257+182.512}{300.12}[/tex]

   = [tex]\frac{439.512}{300.12}[/tex] ≈ 1.46 ( to 2 dec. places )

some one can help me please

Answers

Answer:

C

Step-by-step explanation:

Let's say Abudal's score = x.

We can do,

3x + x + x + 5 = 45

5x = 45

x = 8.

That means Abdul's scored 8 points, meaning Kendall scored 24,(8*3), and that Otis scored 13, since 8 + 5 = 13.

Find the Surface Area of the Square Pyramid

Step 1:

Step 2:

Step 3:

Step 4: *

(20 Points)

Answers

Step-by-step explanation:

Step 1:   Set up the formula for the surface area of a regular pyramid.

SA = [tex]\frac{p*h}{2} + B[/tex]

where :

SA equals the total surface area of the pyramid,  p equals the perimeter of the base,   h equals the slant height of the pyramidB equals the area of the base.

Step 2:  Plug the perimeter of the base into the formula

you can calculate the perimeter by multiplying the length of one edge by the number of edges.

Step 3: plug the value of the slant height into the formula (it is not the perpendicular height)

Step 4: find the area of the base (depend on the shape of the base)

Hope it will find you well.

answer with work pls !!

Answers

19.3 x 9.5 = 183.35 with the correct answer

(02.06)
A pair of parallel lines is cut by a transversal:
X
15
80
What is the measure of angle x? (4 points)

Answers

The measurements of an angle X is 80

Karen has a coupon for $1.52 off any
candy related item. She decides to buy
a package of 9 chocolate bars that
normally costs $10.25. If Karen uses
her coupon, what will the price per
chocolate bar be?

Enter​

Answers

Answer:

$8.73 per package of candy bars

Step-by-step explanation:

10.25 - 1.52=

Look at the pic in the corner it’s math

Answers

Answer:

The third one

Step-by-step explanation:

Its because we need to find the number that it has grown.

so we add the number that it grew to the size it was before.

Answer: 1.85 + x = 5.30

Step-by-step explanation: If we know that Ethan planted a tree that was 1.85 meters tall from the start and several years later it's 5.30 meters tall, we know that something must have been added to the 1.85 in order to get 5.30 meters tall. Since we don't know what that value is, we can use x.

X is an example of a variable. A variable is just a letter that represents any number so in this case, it represents how much the tree has grown over a time period of several years.

So we can write this as 1.85 + x = 1.30.


Find the least common denominator (LCD) of
3
7
and
5
8

Answers

Answer:

56

Step-by-step explanation:

7 is a prime number

7*8 = 56

The least common denominator is 56

3/7 * 8/8 = 24/56

5/8*7/7 = 35/56

Answer:840  

Step-by-step explanation:

MARKING BRAINLIEST!!! PLSS HELP ASAPP!! Plz show all work!!!

Answers

Answer:

A

Step-by-step explanation:

the area of square is 10²=100

Area of a circle is πr²=π(10/2)²=25π

100-25π=100-25*3.14=100-78.5=21.5

Step-by-step explanation:

Multiply 10 by 10, then find the area of the circle (78.54) then subtract, 100-78.54= 21.46. Then round. So its A. 21.5 meters squared

Here is a triangular pyramid and its net.
The lateral faces are congruent triangles. The base (shaded) is an equilateral triangle.
(All lengths are in millimeters.)

Answers

Answer:

a) Area of the base of the pyramid = [tex]15.6\ mm^{2}[/tex]

b) Area of one lateral face = [tex]24\ mm^{2}[/tex]

c) Lateral Surface Area = [tex]72\ mm^{2}[/tex]

d) Total Surface Area = [tex]87.6\ mm^{2}[/tex]

Step-by-step explanation:

We are given the following dimensions of the triangular pyramid:

Side of triangular base = 6mm

Height of triangular base = 5.2mm

Base of lateral face (triangular) = 6mm

Height of lateral face (triangular) = 8mm

a) To find Area of base of pyramid:

We know that it is a triangular pyramid and the base is a equilateral triangle. [tex]\text{Area of triangle = } \dfrac{1}{2} \times \text{Base} \times \text{Height} ..... (1)\\[/tex]

[tex]{\Rightarrow \text{Area of pyramid's base = }\dfrac{1}{2} \times 6 \times 5.2\\\Rightarrow 15.6\ mm^{2}[/tex]

b) To find area of one lateral surface:

Base = 6mm

Height = 8mm

Using equation (1) to find the area:

[tex]\Rightarrow \dfrac{1}{2} \times 8 \times 6\\\Rightarrow 24\ mm^{2}[/tex]

c) To find the lateral surface area:

We know that there are 3 lateral surfaces with equal height and equal base.

Hence, their areas will also be same. So,

[tex]\text{Lateral Surface Area = }3 \times \text{ Area of one lateral surface}\\\Rightarrow 3 \times 24 = 72 mm^{2}[/tex]

d) To find total surface area:

Total Surface area of the given triangular pyramid will be equal to Lateral Surface Area + Area of base

[tex]\Rightarrow 72 + 15.6 \\\Rightarrow 87.6\ mm^{2}[/tex]

Hence,

a) Area of the base of the pyramid = [tex]15.6\ mm^{2}[/tex]

b) Area of one lateral face = [tex]24\ mm^{2}[/tex]

c) Lateral Surface Area = [tex]72\ mm^{2}[/tex]

d) Total Surface Area = [tex]87.6\ mm^{2}[/tex]

Answer:

Sample answer A triangular pyramid with an equilateral triangle for a base has four faces the equilateral triangular base and

three congruent isosceles triangular faces

Step-by-step explanation:

f(x)=25x^2−10x+1f, left parenthesis, x, right parenthesis, equals, 25, x, squared, minus, 10, x, plus, 1
What is the value of the discriminant of f?
How many x-intercepts does the graph of f have?
PLEASE HELP

Answers

Answer:

What is the value of the discriminant of f?

0

How many x-intercepts does the graph of f?

1

Step-by-step explanation:

I promise you i just got this question and this is the answer

The discriminant of f is 0.

The function f has one intercept.

In the given quadratic function f(x) = 25x² - 10x + 1, the coefficients are:

a = 25

b = -10

c = 1

Now, let's calculate the discriminant:

Discriminant = b² - 4ac

            = (-10)² - 4 x 25 x 1

            = 100 - 100

            = 0

The value of the discriminant of f is 0.

If the discriminant is positive (greater than 0), the quadratic equation has two distinct real roots, which means the graph intersects the x-axis at two different points.

If the discriminant is zero, the quadratic equation has one real root, and the graph touches the x-axis at one point (or has a double root).

If the discriminant is negative, the quadratic equation has no real roots, and the graph does not intersect the x-axis.

In this case, since the discriminant is 0, the graph of f has one x-intercept (or one real root).

Learn more about Discriminant here:

https://brainly.com/question/33365847

#SPJ2

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