Answer:
Objective Minimize 10x1 +15x2 + 12x3+18x4+15x5+ 21x6
The central total cost $ 17586 due to the number of central undergraduate students 1458 is very high.
The total minimum cost would $ 17586 +$260+ $300= $ 18146
Step-by-step explanation:
Let
X1 = # of undergraduate students from the East region,
X2 = # of graduate students from the East region,
X3 = # of undergraduate students from the Central region,
X4 = # of graduate students from the Central region,
X5 = # of undergraduate students from the West region, and
X6 = # of graduate students from the West region.
Then the cost functions are
y1= 10x1 +15x2
y2= 12x3+18x4
y3= 15x5+ 21x6
According to the given conditions
The constraints are
x1 +x2 + x3+x4+ x5+ x6 ≥ 1500------- A
15X2 +18X4+21X6 ≥ 400---------B
21X6 ≥ 100
X6 ≥ 100/21
X6 ≥ 4.76
Taking
X6= 5
10X1 ≤ 500
X1 ≤ 500/10
X1≤ 5
18X4 ≥ 75
X4 ≥ 75/18
X4 ≥ 4.167
Taking
X4= 5
Putting the values
15X5+ 21X6 ≥ 300
15X5+ 21(5) ≥ 300
15X5+ 105 ≥ 300
15X5 ≥ 300-105
15X5 ≥ 195
X5 ≥ 195/15
X5 ≥ 13
Putting value of X6 and X4 in B
15X2 +18X4+21X6 ≥ 400
15X2 +18(5)+21(5) ≥ 400
15X2 +195 ≥ 400
15X2 ≥ 400-195
15X2 ≥ 205
X2 ≥ 205/15
X2 ≥ 13.67
Taking X2= 14
Now putting the values in the cost equations to check whether the conditions are satisfied.
y1= 10x1 +15x2
y1= 10 (5) + 15(14)= 50 + 210= $ 260
y3= 15x5+ 21x6
y3= 15 (13) + 21(5)
y3= 195+105= $ 300
x1 +x2 + x3+x4+ x5+ x6 ≥ 1500
5+14+x3+5+13+5≥ 1500
x3≥ 1500-42
x3≥ 1458
y2= 12x3+18x4
y2= 12 (1458) + 18 (5)
y2= 17496 +90
y2= $ 17586
The cost can be minimized if the number of students from
Undergraduate Graduate
East Region X1≤ 5 X2 ≥ 13.67
Central X3≥ 1458 X4 ≥ 4.167
West X5 ≥ 13 X6 ≥ 4.76
This will result in the required number of students that is 1500
Constraints:
East Undergraduate must not be greater than 5
East Graduate must not be less than 13
Central Undergraduate must be greater than 1458
Central Graduate must be greater than 4
West Undergraduate must be greater than 13
West Graduate must be greater than 4
The central total cost $ 17586 due to the number of central undergraduate students 1458 is very high.
The east region has a least cost of $260 and west region has a cost of $300.
The total minimum cost would $ 17586 +$260+ $300= $ 18146
Cindy runs 13 blocks to the park and 13 blocks back home every day. If she does this 4 days, how many blocks will she run?
Answer:
I believe the answer is 104
Step-by-step explanation:
13+13=26 thats 1 day so 26×4=104
Can y’all help me with this and if u don’t know don’t answer
Answer:
D1 to D3: SF = 3 / 2. Equation = 9 / 6 = 3 / 2
D2 to D3: SF = 2. Equation = 9 / 4.5 = 18 / 9 = 2
D3 to D1: SF = 2 / 3. Equation = 6 / 9 = 2 / 3
Step-by-step explanation:
Let me just make sure.
Which of the following is closest to 1/2+1/3
Answer:
What's the "following answers"?
Step-by-step explanation:
You won't get a straight answer unless you attatch a picture
1/2 + 1/3 would equal something around 0.8333...
What is the area of this square?
A= 12
B= 48
C= 72
D= 144
No links, docs, files, drives etc
I will mark the correct answer brainlyest
You earn many points
========================================================
Explanation:
A square has all four sides that are the same length. So all four sides are 12 cm
area = side*side = 12*12 = 144 cm^2
Or you could say
area = (side)^2 = (12)^2 = 144 cm^2
Squaring a number is the same as multiplying it by itself. Hence the name "square" refers to a side length pairing up with its corresponding area value.
---------
Side note: The perimeter is 4*(side) = 4*12 = 48 cm. It's possible that choice B is put in there as a trick answer.
B
If you do 4x12 you will end up with 48
what is the square route of 6,897?
Answer: 11 square root 57
Step-by-step explanation:
Answer:
The Square root of 6,897 is 83.04 the alternate form is 11√57
P.S If you feel this answer is satisfactory would you mark it brainiest.
Ok im sorry for the ppl who keep answering my questions. I'm trying to get an A in math thank you for helping me!!! also im running low on points!! :')
Answer:
[tex]56.52 {in}^{3} [/tex]Step-by-step explanation:
Given,
Diameter of the bowl = 6 in
Radius of the bowl = 6 ÷ 2 = 3 in.
Height of the bowl = 2 in.
Therefore,
Volume of the bowl to hold water ,
[tex] = \pi {r}^{2} h[/tex]
[tex] = 3.14 \times 3in \times 3in \times 2in[/tex]
[tex] = 56.52 {in}^{3} (ans)[/tex]
A carpenter bought 850 nails. Each nail
has a mass of 5.2 x 10-3 kg. What is the total
mass, in kilograms, of the nails the carpenter
bought. Express your answer as a decimal.
Answer:
4.42
Step-by-step explanation:
5.2 x 10-3 multiplied by 850. I got it right on my assignment
The mass of the 850 nails is 442 x 10⁻² kilograms.
What is multiplication?The mathematical operation of multiplication is arithmetic. Additionally, it involves repeating the same forms of statements.
Example: 2 + 3 signifies that 2 is multiplied by 3 or that 3 is multiplied by 2 times.
A carpenter bought 850 nails.
Each nail has a mass of 5.2 x 10-3 kg.
To find the total mass:
Use multiplication operation,
850 x 5.2 x 10⁻³
= 4420 x 10⁻³
= 442 x 10⁻²
Therefore, the mass is 442 x 10⁻² kilograms.
To learn more about the multiplication;
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Mr. Herbert used wire fencing to form a border around a circular region in his back yard. If the radius of the circular region was 5 yards, what was the total length of the border, rounded to the nearest tenth of a yard?
78.5 yd
157.1 yd
15.7 yd
31.4 yd
Answer:
31.4
Step-by-step explanation:
5 x 2 = 10
Use 3.14 for π.
10 x 3.14 = 31.4 yards
How many additional books does Tony get each month?
Answer:
3 books
Step-by-step explanation:
Answer:
3 books
Step-by-step explanation:
On the first 1st month Tony gets 11 book but on the second month Tony gets 14
14 books - 11 books = 3 books
There is a pattern of 3 new books each month.
(1 month = 3 new books)
Tony gets 3 additional books every/each month.
Pls I need help I’m begging u pls I need help
Answer:
Step-by-step explanation:
Triangle area adds up to 180.
65 + 65 + 50 = 180
x=65
Please answer number 10! 10 points!!!
Answer:
The total surface area is 270153.77839583 ft2
The lateral surface area is 249128.77839583 ft2
The bottom surface area is 21025 ft2
Step-by-step explanation:
On cold days Leah likes to make hot chocolate. She uses 8 tablespoons of cocoa and 2 tabelspoons of sugar, what ratio is equivalent to 8 to 2? Complete the statement. The ratio 8 to 2 is equivalent to the ratio ? To ?
Answer:
4 to 1
Step-by-step explanation:
The greatest common factor between 8 and 2 is 2. So 2 will go into 8, 4 times. And 2 will go into 2, 1 time. So simplified the equivalent ratio is 4:1.
Use the information giving in the figure to find the length FH. If applicable, round your answer to the nearest whole number.
The lengths on the figure are not drawn accurately.
9514 1404 393
Answer:
FH = 16
Step-by-step explanation:
ΔGHE is a 5-12-13 triangle.
ΔEHF is a 3-4-5 triangle with a scale factor of 4, so side FH is 4·4 = 16 units.
_____
(3, 4, 5), (5, 12, 13), (7, 24, 25), (8, 15, 17) are all commonly used Pythagorean triples. The first two on the list are used in these triangles.
If you like, you can work out the numbers using the Pythagorean theorem, which tells you the square of the hypotenuse is equal to the sum of the squares of the other two sides.
For ΔEHG, that is ...
GE² = EH² + HG²
13² = EH² + 5²
EH² = 13² -5² = 169 -25 = 144
And for ΔEHF, ...
FE² = EH² +HF²
20² = 144 + HF²
400 -144 = HF² = 256
HF = √256 = 16
The length of side FH is 16 units.
If 2 people have $720 between them and one has $106 more than the other. How much do they each have?
Answer:
$720 divided by 2 = $360
$360-106=$254
$360+106=$466
$254+$466=$720
Person 1 has $254
Person 2 has $466
PLEASE HELP ASAP ASAP URGENT WILL GIVE BRAINLIEST
Answer:
for the solve and check:
[tex]2\frac{3}{8}+x=3\frac{1}{4} \\2\frac{3}{8}-2\frac{3}{8}+x=3\frac{1}{4}-2\frac{3}{8}\\\\x=3\frac{1}{4}-2\frac{3}{8}\\\\\\x=\frac{7}{8}[/tex]
----------------------------------------------------
[tex]3\frac{3}{8}+x=4\frac{1}{4} \\3\frac{3}{8}-3\frac{3}{8}+x=4\frac{1}{4}-3\frac{3}{8}\\\\x=4\frac{1}{4}-3\frac{3}{8}\\\\\\x=\frac{7}{8}[/tex]
for the second solve and check:
[tex]4\frac{3}{8}+x=5\frac{1}{4} \\4\frac{3}{8}-4\frac{3}{8}+x=5\frac{1}{4}-4\frac{3}{8}\\\\x=5\frac{1}{4}-4\frac{3}{8}\\\\\\x=\frac{7}{8}[/tex]
----------------------------------------------------
[tex]5\frac{3}{8}+x=6\frac{1}{4} \\5\frac{3}{8}-5\frac{3}{8}+x=6\frac{1}{4}-5\frac{3}{8}\\\\x=6\frac{1}{4}-5\frac{3}{8}\\\\\\x=\frac{7}{8}[/tex]
Answer:
Step-by-step explanation:
Green picture
x = 2.25 ft = 2 1/4 ft
we substitute 2 1/4 for x
x = 2 1/4 ft
3 3/4 ft + 2 1/4 ft = 6 ft
6 ft = 6 ft
Since 6ft is equal to 6ft...
Blue picture
It is 2 1/4 ft long
we substitute 7/8 ft for x
since 2 1/4 ft is equal ...
Yellow picture
2 3/8 ft - 2 3/8 ft + x = 3 1/4 ft - 2 3/8 ft
x = 3 1/4 ft - 2 3/8 ft
x = 7/8 ft
Check
x = 7/8 ft
2 3/8 ft + 7/8 ft = 3 1/4 ft
3 3/8 ft - 3 3/8 ft + x = 4 1/4 ft - 3 3/8 ft
x= 4 1/4 ft - 3 3/8 ft
x = 7/8 ft
check
x = 7/8 ft
3 3/8 ft + 7/8 ft = 4 1/4 ft
red picture
4 3/8 ft - 4 3/8 ft + x = 5 1/4 ft - 4 3/8 ft
x = 5 1/4 ft - 4 3/8 ft
x = 7/8 ft
check
x = 7/8 ft
4 3/8 ft + 7/8 ft = 5 1/4 ft
Adam is a golfer who thinks that his drives have an average length of more than 200\text{ m}200 m200, start text, space, m, end text. He decided to test \text{H}_0: \mu=200\text{ m}H 0 :μ=200 mstart text, H, end text, start subscript, 0, end subscript, colon, mu, equals, 200, start text, space, m, end text versus \text{H}_\text{a}:\mu>200\text{ m}H a :μ>200 mstart text, H, end text, start subscript, start text, a, end text, end subscript, colon, mu, is greater than, 200, start text, space, m, end text using a sample of 494949 drives. His sample mean distance was 208\text{ m}208 m208, start text, space, m, end text and his sample standard deviation was 25\text{ m}25 m25, start text, space, m, end text. Adam wants to use these sample data to conduct a ttt test on the mean. Assume that all conditions for inference have been met.
Answer:
t=2.24 for khan
Step-by-step explanation:
The test statistic for the Adam's test is 2.24.
What is Test Statistic?Test statistic is a value calculated from a statistical test of hypothesis. It describes the closeness of the observed data with the expected distribution under the null hypothesis.
The formula to find the test statistic is,
t = (x - μ) / (s / √n)
Here x is the sample mean, μ is the population mean, s is the standard deviation and n is the sample size.
Given,
x = 208, μ = 200, s = 25 and n = 49
Substituting the values,
t = (208 - 200) / (25 / √49)
= (8 × 7) / 25
= 2.24
Hence the test statistic is 2.24.
Learn more about test Statistic here :
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Question Hannah wanted to investigate whether there was a difference in the time spent in the checkout line between two grocery stores in a large city. She went to Grocery Store J on a Monday morning and recorded the time, in minutes, it took 30 customers to go through a checkout line. Then she went to Grocery Store K on Monday afternoon and recorded the time it took 30 customers to go through a checkout line. Hannah calculated the mean number of minutes for the customers in each line. She intends to conduct a two-sample t-test for a difference in means between the two stores. Have all conditions for inference been met?
Answer:
Yes. All the conditions for inference have been met.
Step-by-step explanation:
The conditions for inference are:
a) The sample must be random. The selections of the 30 customers in each Grocery Store were not biased in any way.
b) The sampling distribution must be approximately normal.
c) The observations of the samples were independent.
d) Adequate of sample size. 30 customers represent an adequate sample
e) The variances are not known as they were disclosed in this case.
Adrian bought a concert ticket online for $41. He used a coupon code to get a
30% discount. The website also applied a 10% processing fee to the price after
the discount. How much did Adrian pay, in the end? Round to the nearest cent.
Answer:
32.8
Step-by-step explanation:
32.8 I did this on a calculator
A dog is fed 3 1/2 cups of food. A puppy is fed 3/5 of that. How much is the puppy fed?
Answer:
9 puppies can be fed.Step-by-step explanation:
Given that:
A dog is fed 312 cups of food. A puppy is fed 35 of that.To Find:
How much is the puppy fed?Let us assume:
x puppies can be fed.Finding the number of puppy:
Puppy : Food = Puppy : Food
⟶ 35 : 1 = 312 : x
⟶ 35/1 = 312/x
Cross multiplication.
⟶ 35x = 312
⟶ x = 312/35
⟶ x = 9 (approx.)
Hence,
9 puppies can be fed.the ratio of length and breadth of a room is 4:3. If the room is 12 m long. Find is breadth
Answer:
Step-by-step explanation:
ratio of length to breadth=4:3
let breadth be x m
4/3=12/x(do cross multiplication)
3*12=x*4
36=4x
36/4=x
9=x
therefore breadth= 6m
PLEASE HELP!!!!!!!!!!!
Answer:
I think it's 18
Step-by-step explanation:
because I'm looking at 12/8 to be a ratio, that means that the size of the bigger figure had decreased by 12/8 or 1.5
then I divided the 27 by 1.5 to get the area of the small one which was 18.
Write an equation that represents a parallel line to y=1/2x + 4
Answer:
1/2
Step-by-step explanation:
For the annual rate of change, find the corresponding growth or decay factor: +15%
For the annual rate of change, find the corresponding growth or decay factor: -30%
For the annual rate of change, find the corresponding growth or decay factor: -70%
For the annual rate of change, find the corresponding growth or decay factor: +100%
Answer:
The growth factor for the annual rate of change of 15% is 1.15.
The decay factor for the annual rate of change of -30% is 0.7.
The decay factor for the annual rate of change of -70% is 0.3.
The growth factor for the annual rate of change of 100% is 2.
Step-by-step explanation:
Growth or decay factor:
The growth factor is 1 + r, r as a decimal.
The decay factor is 1 - r, r as a decimal.
For the annual rate of change, find the corresponding growth or decay factor: +15%
r = 0.15, so 1 + 0.15 = 1.15.
The growth factor for the annual rate of change of 15% is 1.15.
For the annual rate of change, find the corresponding growth or decay factor: -30%
r = -0.3, so 1 - 0.3 = 0.7.
The decay factor for the annual rate of change of -30% is 0.7.
For the annual rate of change, find the corresponding growth or decay factor: -70%
r = -0.7, so 1 - 0.7 = 0.3.
The decay factor for the annual rate of change of -70% is 0.3.
For the annual rate of change, find the corresponding growth or decay factor: +100%
r = 1, so 1 + 1 = 2.
The growth factor for the annual rate of change of 100% is 2.
I WILL GIVE BRAINLIEST TO CORRECT ANSWER
Alok conducted a survey and
found that about 60% of his
classmates have a pet. If
there are 300 students at the
school, how many would he
expect to have a pet?
Which is the best estimate for the weight of a bicycle?
A. 2 ounces
B. 2 pounds
C. 20 ounces
D. 20 pounds
Answer:
B
Step-by-step explanation:
i know this already from another
Can you help me with Math
Answer:
42+106=x
148=x
Step-by-step explanation:
I need the answer fast Pls HELP choose one then more chosises so you need to choose more chosies
Answer:
c
Step-by-step explanation:
there
Find the surface area of the rectangular prism. Use your purple formula sheet.
Answer:
328 square cm
Step-by-step explanation:
Just search up "calculate the area of a rectangular prism"
and use the online calculator.
Note:
Pls brainliest(if possible)
Can’t really put it in typeing form so just look at the picture ö
Answer:
5 cups is greater then 32 fl oz
Step-by-step explanation:
First, we change fl oz to cups, for it is easier to do.
Next, when we change 32 fl oz, it is going to be
32 fl oz=4 cups
Last, it is obvious that 5 cups is greater than 32 fl oz.
32 fl oz< 5 cups
This is correct!
Please mark me brainliest and have a nice day! :)
2 + 2 = ?
please help!
Answer:
4
Hope that this helps!