The least common multiple of two numbers is 24. Which could be the two numbers? O 6 and 8 O4 and 6 O 8 and 16 O 4 and 12

A marketing research firm would like to survey undergraduate and graduate college students about whether or not they take out st

neonofarm [45]

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

6 0

3 years ago

Question 4(Multiple Choice Worth 4 points)

artcher [175]

Answer:

$\sqrt{1}$

Step-by-step explanation:

We know that a rational number cannot have roots. All of the answer choices cannot be simplified except for $\sqrt{1}$ , which can become 1. Therefore, our answer is $\sqrt{1}$ .

3 0

2 years ago

Shante is calculating the amount of time it takes a rocket to get to the moon. The moon is around 239,000 miles from Earth. How

mel-nik [20]

Answer: 20 hours

Step-by-step explanation: We want to round our answer to the nearest hour, we know that the rocket can travel 200 miles per 1 minute, but we want to know first how many miles the rocket can travel per 60 minutes or 1 hour.

To find how many miles the rocket can travel at 60 minutes or 1 hour, simply multiply 200 x 60. 200 x 60 = 12,000 miles per hour.

Now, we want to find how many hours it would take for the rocket to travel from the earth to the moon.

Simply divide 239,000 by 12,000 to get the amount of hours it would take to reach the moon. 239,000/12,000 = about 20 hours.

So, it would take the rocket ship 20 hours to reach the moon from the earth.

3 0

3 years ago

brainlist for comeing to this question but you have to be smart or you have to get my question 5.I have two question what do you

____ [38]

Answer #1:

the difference between the PARIMITER and AREA of a shape is

- PARIMITER is the length of all sides in total

- AREA is the square ore cubic measurement aka VOLUME of a shape

Answer #2:

the difference between 1in and 2in is 1 in

Step-by-step explanation:

#1:

say we have a square that is 2 by 3 units, to measure the shape in both mediums we will use two easy functions

~ PARIMITER = 10

to figure out the outside edge of this shape, we need to measure all single sides and add them together

(2 + 2) + (3 + 3) = 4 + 6 = 10

^ note: be sure to add BOTH sides even if they have same measurements, beings there are two sides that have a measurement of 2 units, we add them together, same with the sides of 3, then we add those together

~ AREA = 6

to find the area, we just need to take ONE of each axis side (ei only left or right, top or bottum, and in some cases front or back) and lay them as shown

width = 2

height = 3

then we multiply them with each other

2 * 3 = 6

#2

finding the difference between two numbers can be quite easy, all we do is subtract 1 from the other, and depending on the result, we can tell whats greater, lesser or indifferent, take a look here

say we subtract 2in from 1in

2in - 1in = 1in

we are left with 1in from the 2in, meaning that 2in is greater then 1in by 1in, HOWEVER if we subtract 2in from 1in

1in - 2in = (-1in)

the number is in the negative, meaning that there is 1in LESS in 1in then in 2in

NOTE sometimes we find out that one of has no difference or is the same as the other number, heres an example

3in - 3in = 0in

this equation represents that the first 3in is no greater, nor lesser then the second 3in, meaning both values are the same

PS: for real though i know these are easy questions but i figured id earn the crown hehe :3, feel free to fact check this if you want, and if you want to use this as foot notes for your work

3 0

2 years ago

WILL MARK BRAINLIEST

mafiozo [28]

Answer:

0.21

Step-by-step explanation:

36%= .36

11/25= .44

4 0

3 years ago

Read 2 more answers

The least common multiple of two numbers is 24. Which could be the two numbers? O 6 and 8 O4 and 6 O 8 and 16 O 4 and 12​

The least common multiple of two numbers is 24. Which could be the two numbers? O 6 and 8 O4 and 6 O 8 and 16 O 4 and 12