3. A clothing manufacturing company makes two types of jogging pants, design A and design B. the design A jogging pants sells to the retail stores for Php2500 each and the design B jogging pants for Php2100. The cost for manufacturing each design A is Php1750 and the cost of each design B is Php1200. If the company makes no more than 120 jogging pants a week and budgets no more than Php150000 per week, how many of each type should be made to maximize profit?

Answers

Answer 1

Answer:

z(max) =  256000  Php

x₁ = 10

x₂ = 110

Step-by-step explanation:

Jogging pants design                Selling Price       Cost    

weekly production

 Design A    x₁                                     2500            1750

  Design B    x₂                                    2100            1200      

1. z ( function is : )

z = 2500*x₁  +  2100*x₂       to maximize

First constraint weekly production

 x₁    +   x₂    ≤  120

Second constraint Budget

1750*x₁  +  1200*x₂   ≤   150000      

Then the model is

z = 2500*x₁  +  2100*x₂       to maximize

Subject to

 x₁    +   x₂    ≤  120

1750*x₁  +  1200*x₂   ≤   150000  

General constraints   x₁  ≥  0           x₂   ≥ 0            both integers

First table

z           x₁           x₂        s₁       s₂      cte

1       -2500      -2100    0       0         0

0          1              1          1        0  = 120

0      1750         1200     0       1   = 150000

Using AtoZmath online solver and after 6 iterations the solution is:

z(max) =  256000  Php

x₁ = 10

x₂ = 110


Related Questions

i need help asap math sucks and is hard
8th grade math

Answers

Answer:

Slope = [tex]\frac{-1}{3}[/tex]

Step-by-step explanation:

(x₁ , y₁) = (-9 , -4)   & (x₂ ,y₂) = (-3, -6)

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

         [tex]= \frac{-6-[-4]}{-3-[-9]}\\\\= \frac{-6+4}{-3+9}\\\\= \frac{-2}{6}\\\\= \frac{-1}{3}[/tex]

if 8 sugar cost 260 how much sugar can be brought for 877.500​

Answers

Answer:  27 kg of sugar can be bought for Rs. 877.50.

Step-by-step explanation:

Answer:

you could buy 28518.75 sugar for 877.500

Step-by-step explanation:

260 / 8 = 32.5

this gives you how much it cost per 1 (units)

32.5 * 877.50 = 28518.75

the set of all numbers less than or equal to -6 or greater than it equal to -2

Answers

Answer:

Step-by-step explanation:

-6 ≥ x

-2 ≤ x

I don't think you can combine this into one statement.

Your line looks something like

<---------------O                 O------------------------->

                  -6                 -2

Shade in the 2 Os. The shaded in Os  are included in the way the line looks.          

Ramon would like to plant a garden where each row has the same combination of plants. If
Ramon has 27 tomato plants, 15 cucumber plants and 6 basil plants, what is the greatest number of rows the garden can have if Ramon uses all of the plants?

Answers

Answer:

48

Step-by-step explanation:

The greatest number of rows that can be formed in the garden will be 3.

What is the highest common factor?

The Highest Common Factor (HCF) of two numbers is the highest possible number that is divisible by both numbers.

In other words, the highest common factor is the common factor between the two numbers but it should be the highest among all common factors.

As per the given,

Ramon has 27 tomato plants, 15 cucumber plants, and 6 basil plants.

Factors of 27 = 1, 3, 9, and 27.

Factors of 15 =  1, 3, 5 and 15

Factors of 6 = 1, 2, 3 and 6

The GCF of 27,15 and 6 is 3.

Thus, only three raws are possible.

Hence "The greatest number of rows that can be formed in the garden will be 3".

To learn more about the highest common factor,

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Find the slope (0,0) and (4.16)
Find the slope (0,0) and (4,8)​

Answers

Answer:

first one is 4

second is   2

Step-by-step explanation:

let me know if you need to  show work

Answer:

first one is 4, 2nd one is 2

Step-by-step explanation:

Help asap!!

A container holds 80,000 ounces of water. There is a small leak in the container. Every 96 minutes​, 0.3 ounces of water leak out. Represent the total change in the amount of water in the container after 8 hours.

Answers

Answer:

Step-by-step explanation:

8hours=60×8= 480 minute

96minutes=0.3 ounces

480minutes =x ounces (use crisscross)

96x =144minutes

X= 144/96=1.5 ounces

Total change in the amount of water is

80,000-1.5=79998.5 ounces

Is this relation a function?
(2, -3), (-4, 2), (6,2), (-5, -3), (-3,0)

Answers

Answer:

no it is not because two different input values have the same output

Step-by-step explanation:

Answer:

Yes it is a function... Because we have output for each input

The​ _________ of a hypothesis test is the probability ​(1minus beta​) of rejecting a false null hypothesis.

Answers

Answer:

Power

Step-by-step explanation:

An hypothesis is usually formulated at the beginning of research, it is usually in line with the problem statement and gives the possible outcome.

An hypothesis is either accepted or rejected.

Power in hypothesis is the probability of rejecting null hypothesis when it is false. It helps in making a correct decision by rejecting the null hypothesis when it is not true.

power ranges between 0 to 1 when it is close to 1 it is said to be very strong and has the probability of rejecting a null hypothesis when it is not true.

Power helps to avoid a type II error in statistics.

Deonna is arranging pictures of her trip to Jamaica into a photo album. Twenty percent of her photos are just of her. If Deonna took 200 photos, then how many photos are there of just her in the picture?​

Answers

Answer:

I think it is 10% but I may be wrong hope this kinda helped

Step-by-step explanation:

Please help or at least try and also I’m so sorry if u can’t read it well

Answers

Answer:
Proportional: A, E
Non-Proportional: B, C, D, F
Sorry if these aren’t right but I’m pretty sure they are

If 7 toothpaste tubes cost 40.50 how much does one tube cost?

Answers

Answer:5.78

Step-by-step explanation: It is 5.78 bc do 40.50 divided by 7 and you will get your answer

Brainliest please???

Answer:

Each tube costs about $5.79.

Step-by-step explanation:

To find the cost of each tube, divide the total cost by the total number of toothpaste tubes.

40.50/7 = 5.785714286 which approximates to 5.79

Help ASAP Find the measure of 3.

90°
26°
116°
64°

Answers

Answer:

90°

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

6*9+(6+9)=?

Plz I really need this in the next minute.

Answers

6*9+(6+9)= 6*9+15= 54+15=69 you have to use Pemdas

which branch of maths includes the most of other branches symbols/functions ect.​

Answers

Answer:

Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols. In elementary algebra, those symbols (today written as Latin and Greek letters) represent quantities without fixed values, known as variables.

Step-by-step explanation:

What will happen to the graph of the line y = -54x + 3 if you change -54 to 54?

Answers

Answer:

Graph the line using the slope and y-intercept, or two points.

Slope:  

1

y-intercept:  ( 0 , 0 ) x y 0 0 1 1

Nya buys tea for $3.51 and juice for $2.28. estimate how much more she spends on tea than juice
1. Between $1 and $2
2.Less than $1
3. Between $2 and $3

Answers

the answer is 1. $1 and $2

Answer:

1

Step-by-step explanation:

First round up (or down) the prices for the tea and juice.

3.51 --> $4

2.28 --> $2.3 or $2

4-2.3=1.7

4-3= 1

$1-$1.7

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Answers

Answer: 22 x 10 = 220

If the diameter of the circle is 24 cm, find its area correct to one decimal place.

A= ______ cm2

Answers

Answer:

A=pi times radius squared

24/2= 12 is the radius (since it's half of diameter)

A=pi times 12 squared

12 squared is 12 times 12 which is 144

A=pi times 144

A=452.389342

Rounded to 452.4

3/4 divided by 4/3 whats the answer to this problem

Answers

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[tex] \frac{3}{4} \div \frac{4}{3} = \frac{3}{4} \times \frac{3}{4} = ({ \frac{3}{4} })^{2} = \frac{9}{16} \\ [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Right inequalities to represent the situations below to get the 10% discount a shopper must spend at least $300 USD to represent the spending in dollars of a shopper who gets the discount

Answers

Answer:

D≥300

Step-by-step explanation:

Find the slope of the lines that passes through the points (-8,-11) and (17,4).

Answers

Answer:

[tex]\displaystyle m=\frac{3}{5}[/tex]

Step-by-step explanation:

The slope of a line.

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

We are given the points (-8,-11) and (17,4).

[tex]\displaystyle m=\frac{4+11}{17+8}[/tex]

[tex]\displaystyle m=\frac{15}{25}[/tex]

[tex]\mathbf{\displaystyle m=\frac{3}{5}}[/tex]

Plzz help....Calculate the length of the corresponding sides for FGHIJ and ABCDE. You will need to use the distance formula
[tex]d = \sqrt{x2 - x1) {2}^{?} } + (y2 - y1) {2}^{?} [/tex]
for sides that are not purely horizontal of vertical. Show your work in the table. Afterward, confirm your calculations using GeoGebra.

Answers

The distance between the points have been calculated.

What is the Distance Formula?

The distance formula is used to calculate distance between two points on a coordinate system.

The formula is

[tex]\rm d = \sqrt { (x_2-x_1)^2+(y_2-y_1)^2}[/tex]

The coordinates of ABCD is A(0,4), B(2,4), C(2,3), D(4,2), E(4,0)

The coordinates of FGHI is F(7,1), G(6,1), H(6,1.5), I(5,2), J(5,3)

AB² =  (2-0)²+(4-4)²      

AB =     2

FG² =  (6-7)²+(1-1)²

FG =1                  

BC² =  (2-2)²+(3-4)²=1          

BC = 1

GH² =  (6-6)²+(1.5-1)²=0.5        

GH = 0.5

DI² =  (5-4)²+(2-2)²

DI = 1

HI² =  (5-6)²+(2-1.5)² = 1.25

HI =  1.12

DE² =  (4-4)²+(0-2)²

DE =    2

IJ² =  (5-5)²+(3-2)²

IJ = 1

EA² =  (0-4)²+(4-0)²      

EA = 5.66

JK² =  (7-5)²+(1-3)²    

JK =    2.83

The missing data of the question is

The coordinates of ABCD is A(0,4), B(2,4), C(2,3), D(4,2), E(4,0)

The coordinates of FGHI is F(7,1), G(6,1), H(6,1.5), I(5,2), J(5,3)

To know more about Distance Formula

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Find the value of 2y if 2x - y = 5 and
x + y = 4.​

Answers

Answer:

the value of 2y would be 2

Step-by-step explanation: 3+1=4 so you would plug the 3 in for x and the 1 in for y to get 5

2(3x-(2x-3(3x+1)+5x)

Answers

Answer: Is the answer is 10x+6? You didn’t even show what can I do for your math expression, I thought it was simplified expression.

Step-by-step explanation:

Find the area of the Compound shape

The answer is 45 m^2

I just need the steps....

Answers

Answer:

45 cm^2

Step-by-step explanation:

Dividing the shape into the two separate components of a square and a triangle makes it easier.

The square area is found by multiplying the side by the side, 6cm*6cm which gives us 36cm^2.

Then the triangle the height is 3cm and the base is 6cm. Using the formula 1/2*base*height.

Which would be 1/2*6*3=9cm^2.

Adding the two, 9+36= 45cm^2.

Find the mean for the scores 3860,5300,8560,4,200,5360

Answers

Answer:

The mean is 5444

Step-by-step explanation:

Hope this helps!

Answer:

add and divide for the mean

Step-by-step explanation:

3860 + 5300 + 8560 + 4200 + 5360 = 27280

27280 ÷ 5 = 5456

Also, I have inserted a rhythm that helps you remember the mean, median, mode and range.  

Hope this helps, stay safe, take care, keep smiling and always be happy. I believe in you my friend!! (if this is wrong please tell my and I will improve my answer!)

correctly factor the expression 15a-6b+36 using the greatest common factors

Answers

Answer:

3 ( 5a - 2b + 12)

Step-by-step explanation:

15 = 3 * 5

6 = 2 * 3

36 = 2 * 2 * 3 * 3

GCF = 3

15a - 6b + 36 = (3* 5 * a) - (3 *2 * b) + (3 * 12)

                     = 3 ( 5a - 2b + 12)

Answer:

3 ( 5a - 2b + 12)

Step-by-step explanation:

15 = 3 * 5

6 = 2 * 3

36 = 2 * 2 * 3 * 3

GCF = 3

15a - 6b + 36 = (3* 5 * a) - (3 *2 * b) + (3 * 12)

                    = 3 ( 5a - 2b + 12)

If the terminal side of angle A passes through (-5,2) find the value of sec A​

Answers

Answer:

The value of sec A = - √29/5

Step-by-step explanation:

As the terminal side of angle 'A' passes through (-5,2).

so the angle is in the 2nd quadrant.

We can find the length of the hypotenuse using the Pythagorean Theorem

[tex]c^2\:\:=\:\left(-5\right)^2\:+\:2^2[/tex]

[tex]c^2=5^2+2^2[/tex]

[tex]c^2=25+4[/tex]

[tex]c^2=29[/tex]

[tex]c=\sqrt{29}[/tex]

As we know that

cos A = adjacent/hypotenuse

sec A = 1/cosA

         = hypotenuse/adjacent

         = √29/-5

         = - √29/5

Therefore, the value of sec A = - √29/5

Solve for X.........

Answers

Answer:
x=-5

Explanation:
We can set our equation as this and solve:
(6)+(10)+(13+2x)=x+24
29+2x=x+24
Subtract both sides by 29
29+2x-29=x+24-29
2x=x-5
Subtract both sides by x
2x-x=x-5-x
x=-5

I hope this helps!

find the slope of the line on the graph. write your answer as a fraction or a whole number, not a mixed number or decimal.​

Answers

the slope of the line on the graph is 1
Answer: 1
Step by step
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