You are in charge of renting SUVs and vans for your family reunion, and you want to minimize costs. You know that at most 40 children are attending and that at least 36 adults are attending. Each SUV accommodates 4 children and 3 adults, and costs $85 to rent. Each van accommodates 4 children and 4 adults, and costs $95 to rent. A. Set up the linear programming problem by writing the objective function as well as the system of constraints. B. How many SUVs and vans should be rented to minimize cost

Answers

Answer 1

Answer:

4 SUV, 6 vans

Step-by-step explanation:

Let x represent the number of SUV rented, and let y represent the number of vans to be rented.

Each SUV accommodates 4 children while Each van accommodates 4 children. Since there are at most 40 children who are attending, hence:

4x + 4y ≤ 40          (1)

Also, Each SUV accommodates 3 adults while Each van accommodates 4 adults. Since there are at most 36 adults who are attending, hence:

3x + 4y ≥ 36          (2)

The system constraints are:

4x + 4y ≤ 40          (1)

3x + 4y ≥ 36          (2)

x, y ≥ 0

b) The SUV cost $85 to rent and the van cost $95 to rent. Therefore the cost equation is:

Cost = 85x + 95y

From the graph, the solution to the constraints are (0, 10) and (4, 6).

At (0, 10); Cost = 85(0) + 95(10) = $950

At (4, 6); Cost = 85(4) + 95(6) = $910

Therefore the minimum cost is at (4,6). That is only 4 SUV and 6 vans should be rented

You Are In Charge Of Renting SUVs And Vans For Your Family Reunion, And You Want To Minimize Costs. You

Related Questions

I need help on this, please!

Answers

Answer:

(5,9) and (5,3)

Step-by-step explanation:

Because the point is (5,6), and the question tells you to plot two points that are three units away from (5,6) but share the same X coordinate.

The X coordinate is 5. And 6 is the Y coordinate, if we do 6-3=2. 6+3=9.

Theresa bought 5 theatre tickets for £60
Work out the cost of 9 theatre tickets.

Answers

Answer:

£108

Step-by-step explanation:

60/5 = 12

12 per ticket

12 × 9 = 108

2/5 gallon of paint can cover 3 walls. How many walls can 1 gallon of paint cover?

Answers

Answer:

one gallon of paints can cover about 2 walls.

There is a paper cup and a plastic cup on a desk if the total capacity of 9 such paper cups and 2 such plastic cups is 350 ml, and the total capacity of 5 such paper cups and 3 such plastic cups is 270 ml, what is the capacity of the paper cup and the plastic cup respectively?

Answers

Answer:

LAMAIALOEBDPQBXOWOXNWKXBW

LWMD

ANSWER FAILURE

hello can anyone help me with this one questions?

Answers

Answer: c

Step-by-step explanation:

ans this pls i wil amrk as brainlist

Answers

Answer:

9:01

2:36

3:40

Step-by-step explanation:

A man wishes to keep some money in savings de-
posit at 25% compound interest so that after 3
years he can buy a car for N150000. How much
does he need to deposit now? ​

Answers

Answer:

He needs to deposit N76800 now.

Step-by-step explanation:

The amount of money is compound interest after t years is given by:

[tex]P(t) = P(0)(1+r)^t[/tex]

In which P(0) is the initial amount of money invested and r is the interest rate, as a decimal.

25% compound interest so that after 3 years to buy a car for N150000.

This means that:

[tex]t = 3, P(t) = 150000, r = 0.25[/tex]. So

[tex]P(t) = P(0)(1+r)^t[/tex]

[tex]P(t) = P(0)(1+0.25)^t[/tex]

[tex]P(t) = P(0)(1.25)^t[/tex]

[tex]150000 = P(0)(1.25)^3[/tex]

[tex]P(0) = \frac{150000}{(1.25)^3}[/tex]

[tex]P(0) = 76800[/tex]

He needs to deposit N76800 now.

Solve the equation.
с/8 = 9
c =

Answers

72. because i have to do the inverse of c/8 so u would multiply 8 and 9 and get 72.

Simplify the algebraic expression.
5 (4x --- 10)

Answers

20x-50

5 x 4x = 20x

5 x 10 = 50

What is the best estimate for 13 1/12 – 1 9/10?

Answers

Answer:

671/60 or 11.2 approxiamtley

Step-by-step explanation:

just subtract it in desmos

how do i solve this? pls help

Answers

Answer:

6.11753349 × [tex]10^1^6[/tex]

Step-by-step explanation:

Raise  17  to the power of  12 .

f(x) = 105 ⋅ 582622237229761

Multiply  105  by  582622237229761 .

f ( x )  =  61175334909124905

Move the decimal so there is one non-zero digit to the left of the decimal point

6.11753349 × [tex]10^1^6[/tex]

Hope this helps :)

GIVEAWAY 100 POINTSS HOPE YALL ENJOY <3

Answers

Thanks for the points ur so kinds

Answer:

Thank you so much! Always appreciated ! Happy early V day! Hope you the best <3

Step-by-step explanation:

there are 3 blue rings, 4 red rings, and 8 yellow rings write the ratio of red rings to all rings

Answers

to be honest i dont know all you said was ratio and some colored rings i dont know what im supposed to to that

Answer:

15:8 or 4:15 or 3:15

Step-by-step explanation:

PLEASE HELP! 46 POINTS (hopefully you can answer it now)

Answers

Answer:

I think it might be the third one

Step-by-step explanation:

not totally sure tho

Sections 10.1-10.3 Review
A bag contains 1 green, 4 red and 5 yellow balls. Two balls are selected at
random. Find the probability if there is no replacement of P(1 red and 2 yellow).

Answers

Answer:

20/45

6/45

Step-by-step explanation:

A bag contains 1 green, 4 red, and 5 yellow balls. Two balls are selected at random. Find P( 1 red and 1 yellow) and P(2 red).

--------------------

# of red/yellow pairs: 4*5 = 20

# of random pairs: 10C2 = 45

P(1red & 1yellow) = 20/45

# of red pairs: 4C2 = 6

# of random pairs = 45

P(2 red) = 6/45

What is the slope of a line that passes through the points (-3, 2) and (-6, 5)?
A. -3
B. -1
C. 1/3
D. 1

Answers

the answer will be c

Please help! (giving brainliest)

Answers

luca: [tex]5\cdot \frac{1}{3}=\frac{5\cdot \:1}{3} =\frac{5}{3}[/tex] 1 remainder 2

bailey: [tex]6\cdot \frac{4}{5}=\frac{6\cdot \:4}{5} =\frac{24}{5}[/tex] = 4 remainder 4

corin: [tex]3\frac{1}{4}\cdot \:2\frac{1}{3} =\frac{13}{4}\cdot \:2\frac{1}{3} =\frac{13}{4}\cdot \frac{7}{3} =\frac{13\cdot \:7}{4\cdot \:3} =\frac{91}{4\cdot \:3} =\frac{91}{12} =7\frac{7}{12}[/tex]

sabra: [tex]1\frac{4}{5}\cdot \frac{1}{2} =\frac{9}{5}\cdot \frac{1}{2} =\frac{9\cdot \:1}{5\cdot \:2} =\frac{9}{5\cdot \:2} =\frac{9}{10}[/tex]  0.9

So D. is the right answer.

Hope I helped you!Success!

URGENT URENT BRAINLIEST Vicky attends a private school where she must wear a uniform. Last year, the price of the uniform was $50. This year's uniform price is 2% less. How much are uniforms this year?

Answers

Answer:

All you have to do is subtract to from fifty so the awnser would be 48.

Step-by-step explanation:

Have a great day! :D

You are given the following equation: (x+3)^2 + (y+9)^2 = 144 What is the
radius? *

Answers

Answer:

12

Step-by-step explanation:

(x-h)^2 + (y-k)^2 = r^2 so taking the square root of 144 gives you 12

HELP ASAP!!
Meagan is going to organize her stamp collection into a 240-page book. She has organized 150 pages. What percent of her pages has she organized

Answers
60%
50%
62.5%
75%

Answers

Answer:

62.5%

Step-by-step explanation:

150/240=0.625

you do 0.625x100 to get the percent.

You want to find out what students in a co-educational high school think about the new headteacher. You
interview five boys chosen at random from Year 11. Is this a biased sample?

Answers

Yes because they are all boys and they are all in the same year

(5/12 - 1/4) ÷ (1/3 + 1/16)​

Answers

Answer:

8/9 = 0.421052632

Step-by-step explanation:

(5/12 - 1/4) / (1/3+1/16)

Least common multiple of 12 and 4 is 12. Convert 5/12 and 1/4 o fractions with denominator 12.

5/12 - 3/12 / 1/3+1/16

Since 5/12 and 3/12 have the same denominator, subtract them by subtracting their numerators.

5-3/12 / 1/3+1/16

Subtract 3 from 5 to get 2.

2/12 / 1/3+1/16

Reduce the fraction 2/12 to lowest terms by extracting and canceling out 2.

1/6 / 1/3 + 1/16

Least common multiple of 3 and 16 is 48. Convert 1/3 and 1/16 to fractions with denominator 48.

1/6 / 16/48 = 3/48

Since 16/48 and 3/48 have the same denominator, add them by adding their numerators.

1/6 / 16+3/48

Add 16 and 3 to get 19.

1/6 / 19/48

Divide 1/6 by 19/48 by multiplying 1/6 by the reciprocal of 19/48

1/6 x (48/19)

Multiply 1/6 times 48/19 by multiplying numerator times numerator and denominator times denominator.

1 x 48/6 x 19

Do the multiplications in the fraction 1 x 48/6 x 19

48/114

Reduce the fraction 48/114  to lowest terms by extracting and canceling out 6.

8/19

10x – 3>-23

Please helpppp

Answers

Answer:

-2 i think i am not sure though

Step-by-step explanation:

Answer:

x = -2

Step-by-step explanation:

First, add 3 to both sides to get 10x > -20. Then, divide both sides by 10 to get x = -2. I hope this helps :)

Pogggggggggggggggers

Answers

Answer:

are you my my little pg champ

Five friends go to the movies. They each purchase a ticket for t dollars, a popcorn for p
dollars and a soda for s dollars. Which expression represents how much the five friends spent
at the movies altogether? *
O A 5tps
B 5(t + p + s)
O C 5t+p+s
O D5+t+p+s

Answers

Answer:

B 5 (t + p + s)

Step-by-step explanation:

When you add all the things purchased, you just need to multiply by 5 so you get the total!

Answer:

The correct answer would be B

Step-by-step explanation:

how to calculate the circumference of a circle when given either a diameter or radius and also how to estimate the circumference of a circle

Answers

Answer:

How to calculate Circumference:

2πr=c, 2 x 3.14 x Radius = Circumference

If given the diameter, divide that by two to get the radius.

~Hope this helps~

Which expression is equivalent to -6(-2/3+2x)

Answers

Answer:

4-12x

Step-by-step explanation:

-6 (-2/3 + 2x)
-6*-2/3 = 4
-6 * 2x = -12x
In this case the answer is 4 - 12x

Choose SSS, SAS, or neither to compare
these two triangles.
A
B
С
SSS
SAS
neither

Answers

Answer:

SSS because one side is shared between the two triangles, so you know all three sides are equal.

simplify (x/3-2)(x/2-3)​

Answers

x²/6 - 2x + 6

I am not too sure but I hope that this helps

Find the missing side of the triangle.
11 ft
15 ft

Answers

Step-by-step explanation:

ise Pythagoras theorem

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