1. Find the maximum and minimum values of z = 2x + 3y subject to the following constraints
[tex]0 \leqslant x \leqslant 7[/tex]
[tex]y \geqslant 1[/tex]
[tex]2x - y \geqslant - 5[/tex]
[tex]x + y \leqslant 11[/tex]
Copy and paste the text below and put your answers into the blanks. maximum value =
when x =
and y =
minimum value =
when x =
and y=​

Answers

Answer 1

Answer:

Minimum Values:

x = 0, y = 1, z = 3

Maximum Values:

x = 7 , y = 11 , z = 47

Step-by-step explanation:

FOR MINIMUM VALUES:

0<= x <= 7

It is clear from the above inequality that the minimum value of x must be 0.

y>= 1

This inequality shows that the minimum value of y must be 1. Using these minimum values of x and y to get the minimum value of z:

z = 2x + 3y

z = (2)(0) + (3)(1)

z = 3 (Minimum)

FOR MAXIMUM VALUES:

0<= x <= 7

It is clear from the above inequality that the maximum value of x must be 7.

x + y <= 11

To calculate maximum value of y we can use the minimum value of x in this inequality:

0 + y <= 11

y <= 11

Hence, the maximum value of y is 11.

Using these maximum values of x and y to get the maximum value of z:

z = 2x + 3y

z = (2)(7) + (3)(11)

z = 47 (Maximum)


Related Questions

Happy Paws charges $19.00 plus $4.50 per hour to keep a dog during the day. Woof Watchers charges $8.00 plus $5.75 per hour. Complete the equation and solve it to find for how many hours the total cost of the services is equal. Use the variable to represent the number of hours.

Answers

Answer:

8.8 hours

Step-by-step explanation:

Happy Paws    y=4.5x+19

Woof Watchers    y=5.75x+8

4.5(8.8)+19

$58.6

5.75(8.8)+8

$58.6

Write an equation in point slope form that passes through the given point and has the given slope.

Point = (-2, 5)

Slope = 4

Answers

y+2=4(x-5) pretty sure

What is the slope of this line?
Y=-2x+6

Slope=?

Answers

Answer:

-2

Step-by-step explanation:

Joe and Brody order some food for their families. Joe orders 2 chicken dinners and 3 sides for $34.50. Brody
orders 3 chicken dinners and 2 sides for $43.00. All the dinners cost the same, and all the sides cost the same.
What is the cost of 1 side?

A $2.75
B. $3.00
C. $3.25
D. $3.50

Answers

Answer: D

Step-by-step explanation:

If Joe orders 2 chicken dinners and 3 sides for $34.50, then you have to multiply 3.50 by 3 to get the ammount that the dinners cost.

3.50x3 = 10.50

Next, you have to subtract 10.50 from 34.50 to get the cost of just the 2 dinners.

34.50 - 10.50 = 24.00

Now, divide 24 by 2 to get the cost for 1 dinner.

24/2 = 12

Since Brody ordered 2 sides, you have to subtract 3.50x2 = 7 from 43 to get the total of his dinners.

43 - 7 = 36.

Now we can check our answer. Since 1 dinner costs $12, we can multiply 12 by 3 to get 36, which is the exact same number as the one we just figured out. So, each side costs 3.50.

(You can also multiply 12 by 3.50 to get 43, which was the total cost of Brody's order.)


Please answer both

Answers

Answer:

9) 5/10

10) 4/5

Step-by-step explanation:

A terminating decimal is a decimal that stops eventually

2/3 = 0.6666666...

5/6 = 0.833333...

5/10 = 0.5

6/9 = 0.6666666...

5/10 has a result of a terminating decimal

8/9 = 0.888888...

1/7 = 0.142857...

4/5 = 0.8

4/11 = 0.36363636....

8. A blank graph has been provided.

{(-2,-2),(-1,-1),(0,0), (1, 1), (2, 2)}

{(-6,2), (-5, 1), (-4,0), (3, 1), (2, 2)}

{(-2,9),(0,1), (1,0), (3, 4), (4,9)}

{(-1,0), (0, 1), (0, -1),(3, 2), (3,-2)}

1000R
10

Answers

Answer: number 1

Step-by-step explanation:

its most likley the first one its a straight line on the graph

like if this helped

A car dealership sold 228 cars in 4 months. At what rate did the dealership sell cars in cars per month?
A.
58 cars per month
B.
56 cars per month
C.
59 cars per month
D.
57 cars per month

Answers

Answer:

D. 57

Step-by-step explanation:

228 divided by 4 is 57.

i need help i will mark u brainlest

Answers

the answer is C,
step-by-step: i had the same test lolll

Answer:

3rd one

Step-by-step explanation:

-8x - 8 x = 5 + 5 what does x equal?​

Answers

The answer is that
Thank me by clicking on the ❤️. Thanks!

5470
Machine A and machine B both make car parts.
Machine A makes 7 parts every 10 minutes.
Machine B makes 16 parts every 15 minutes.
On Monday
machine A makes parts for 12 hours
machine B makes parts for 10 hours
Work out the total number of parts made by the two machines on Monday.

Answers

Answer:  1144

Step-by-step explanation:

Given: Machine A makes 7 parts every 10 minutes.

i.e. it makes [tex]\dfrac{7}{10}[/tex] parts in 1 minute.

Machine B makes 16 parts every 15 minutes.

i.e. it makes [tex]\dfrac{16}{15}[/tex] parts in 1 minute.

On Monday,

machine A makes parts for 12 hours(720 minutes).    [1 hour = 60  minutes, 12 hours = 12 x 6 = 720 minutes]

i.e. Total parts made = [tex]\dfrac{7}{10}\times720[/tex]

i.e. Total parts made = 504

machine B makes parts for 10 hours(=60x 10=600 minutes)

i.e. Total parts made = [tex]\dfrac{16}{15}\times600[/tex]

i.e. Total parts made = 640

Total parts made by both machines = 504+640 =1144

Hence, the total number of parts made by the two machines on Monday=1144.

Solve the system of equations.
52 – 4y = -10
=
y =

Answers

i think it’s y = 31/2


find the value of x 12.5, 12, 15

Answers

Answer:

Find the value of x for the given expression: 10x = 50 · Find the value of x for 15 + x = 30 · Find the value of x for the given equation 12 + 2x + 18 = 10.

Step-by-step explanation:

which value of x makes the inequality 3x+3>15

Answers

Answer:

x>4

Step-by-step explanation:

3x+3>15

3x>15-3

3x>12

x>12/3

x>4

Multiply this please. (4x-5)^2

Answers

Answer:

400

Step-by-step explanation:

X+5y=5
What is the slope intercept form of the equation

Answers

in slope intercept form it’s y = 1/5 x - 1

Answer:

y= 1- 1/5x

Step-by-step explanation:

x+5y=5

-x. -x

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

5y = 5-x

÷5. ÷5

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

y= 1 - 1/5x

Help me please ASAP. I really need this

Answers

Answer:

Step-by-step explanation:

I don't think this can be done without the diagram. You do not know what HD is opposite. I will take a guess that it is opposite TU which makes TU = 220 because both H and D are midpoints and that makes TU twice as large as HD.

If this is incorrect, post the diagram.

I WILL GIVE BRAINLIEST! I NEED IT ASAP!!!
Which lateral face has the largest area, the bottom one, left one, or diagonal one? What is its area?

Answers

Answer:

LSA of a cube = 100 in²

Explanation:

Let the area of the cube be a.

Given the following data;

a = 5 in²

To find the lateral surface area;

We know that a cube has four faces and as such the lateral surface area would be the area of the four faces.

Lateral surface area (LSA) of a cube = 4a²

Substituting into the equation, we have;

LSA of a cube = 4*5²

LSA of a cube = 4*25

LSA of a cube = 100 in²

Therefore, the lateral surface area of the package is 100 square inches.

THe Left one

The bottom and the left lateral face have the largest area.

The area of the prism is 96 cm³.

What is a prism?

A prism is a three-dimensional object.

There are triangular prism and rectangular prism.

We have,

The bottom one:

Lateral area.

= 12 x 4

= 48 cm²

The left one:

Lateral area.

= 12 x 4

= 48 cm²

The diagonal one:

Lateral area.

= 1/2 x 4 x 4

= 8 cm²

Now,

Area.

= ( 1/2 x 4 x 4 ) x 12

= 8 x 12

= 96 cm³

Thus,

The bottom and the left lateral face have the largest area.

The area of the prism is 96 cm³.

Learn more about prism here:

https://brainly.com/question/12649592

#SPJ3

WILL GIVE BRAINIEST!!!!!!!!

Answers

The answer is A. Hope this helps!

Answer:

y = -5/2x +4

Step-by-step explanation:

First, make the equation into standard form.

5x + 2y = -10

2y = -5x - 10

y = -2.5x - 5

In order for two lines to be parallel, they must have the same slope. (In y = mx + b, "m" is the slope)

The slope in y = -2.5x - 5 is -2.5, so we need to find an equation with a slope of -2.5 (or -5/2)

In y = -2/5x - 8, the slope is -2/5

In y = 2/5x + 7, the slope is 2/5

In y = 5/2x - 6, the slope is 5/2

In y = -5/2x +4, the slope is -5/2.  

Thus, y = -5/2x +4 is the right answer

If a shirt costs 45 dollars, it's marked down to 30% off, what is the amount of the discount?

Answers

Answer:

$31.50

Step-by-step explanation:

30% of 45 is 13.5

45-13.5=31.5

(Please help!!)

The length (l) of a tet angular box is 5 centimeters more than twice its width (w).

Write an equation to represent the length of the rectangular box.

Answers

L=5+2w would be the best answer

Melanie’s fruit punch recipe calls for 6 cups of apple juice for every 3 cups of carrot juice. How many cups of carrot juice are used for each cup of apple juice?

PLEASE HELP WORTH 15 POINTS

Answers

Half a cup? Correct me if I’m wrong plz

Answer:

hey man its half a cup

Step-by-step explanation:

PLEASE HELP ASAP:


1) What is the measure of ⦣4?

2) How many degrees are in a triangle?

3) What is the measure of ⦣8?

4) What is the measure of ⦣5?

5) If the measure of ⦣9 = 9x + 27, what is the value of x?

6) What is the measure of ⦣1?

7) Supplementary angles will add up to...

8) What is the measure of ⦣3?

9) What is the measure of ⦣6?

10) What is the measure of ⦣2?

11) If you add together the degrees from ⦣1 and ⦣2, they will equal..

Answers

Answer:

1. <4=115 degrees

2. 180 degrees

4. 5 degrees

6. 110 degrees

7. 180 degrees

8.65 degrees

Step-by-step explanation:

30 Points Plss HELP!!! Due Today

The dimensions of a triangular prism are shown.
What is the surface area of the triangular prism?


A.20.5 square inches

B.29 square inches

C.32 square inches

D.14.5 square inches

Answers

Answer:

C

Step-by-step explanation:

To find surface area you find all the areas of the sides and add them up. We can start by setting up our equations.

A = L x W

For both the sides ——> 2(5 x 0.5) = 5

For both the triangle parts ——> bh/2 ———> (4 x 6)/2 times 2 = 24

For the bottom part ——> 6 x 0.5 = 3

Now to add everything up: 24 + 3 + 5 = 32

The answer should be C.

I need help asap! This is a math pearson.

Answers

Answer:

2.4x105

Step-by-step explanation:

D

Answer: BHope this helps hope you get a good score on test/assignment/quiz/homework also can I get the brain thing pls-Tay did this

Can someone help me find SP

Answers

SP = 24

PQ/PT = PR/PS
7/14 = 12/x
1/2 = 12/x
x = 24

1) A city has a population of 21,517 based on a census taken in 1998. If the
population is expected to grow by 11% annually, what will the population
be in the year 2030? *
A None of these
B 606,900
C 492,573
D 517

Answers

Answer:

B, 606,900

Step-by-step explanation:

First you'll need to calculate the percentage growth after 32(2030 - 1998) years. to do this you'll need to find 1.11^32 or 28.205, 1.11 being the percentage growth per year and 32 being the number of years passed. then 21,517*28.205 = 606,899.8 which can be rounded to 606,900.

A student must have an average​ (the mean) on five tests that is greater than or equal to​ 80% but less than​ 90% to receive a final grade of B.​ Devon's grades on the first four tests were ​77%, ​63%, ​90%, and ​78%. What range of grades on the fifth test would give him a B in the​ course? (Assume that​ 100% is the highest grade​ possible.)

Answers

Answer:

92%-100% for B

Step-by-step explanation:

Answer: 92%-100% for B

Step-by-step explanation:

A triangle has side lengths of 16 cm and 6 cm. Which could be the value of the third side, 23 cm or 20 cm? The value (select) cm is the value of the third side.

Answers

Answer:

15 cm

Step-by-step explanation:

1/3 × 3/5 × 2 1/4 = ​

Answers

Answer: 0.45

Step-by-step explanation:

0.4499 or 0.5 which is 1/2

A statue is mounted on top of a 21 foot hill. From the base of the hill to where you are standing is
57feet and the statue subtends an angle of 7.1° to where you are standing. Find the height of the
statue
A. 13.3 feet
B. 6.4 feet
C. 34.2 feet
D. 8.5 feet

Answers

Answer: D.

Step-by-step explanation:

Hope it helps if so mark me brainliest.

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