1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
svetlana [45]
3 years ago
13

Graph the system of constraints and find the value of x and y that maximize the objective function.. x>0. y>0. y<1/5x+2

. 5>y+x. objective function: c=7x-3y

Mathematics
2 answers:
Travka [436]3 years ago
5 0
X > 0 , everything to the right of the y-axis 
<span>y > 0 , everything above the x-axis </span>
So far you are in quadrant I of the x-y plane
<span>y<1/5x+2
</span><span>sketch a line leaning 45° to the left with a y-intercept of 2, shade in everything below that line 
</span>now our Objective Function is 
<span>C = 7x - 3y , which is a line with slope 7/3 </span>
<span>letting that line go through the origin, let it slide parallel to itself over the shaded region until you reach the farthest point from the origin. </span><span>
Here are the required values : 
c = 35; x = 5, y = 0</span>
iogann1982 [59]3 years ago
3 0

Answer: The value of x= 5

And the value of y =0.

Step-by-step explanation:

Since we have given that

Max\ c=7x-3y\\\\yy+x\\\\s.t.\  x>0\ y>0

As we can see from the graph, there are three points occurred in feasible region, which are as follows;

A(2.5,2.5)\\\\B(-10,0)\\\\C(5,0)

Now, we put the above three values in the objective function:

c=7x-3y\\\\Put\ A(2.5,2.5)\\\\c=7\times 2.5-3\times 2.5\\\\c=17.5-7.5\\\\c=10\\\\Similarly,\\\\Put\ B(-10,0)\\\\c=7\times -10-3\times 0\\\\c=-70\\\\Similarly,\\\\Put\ C(5,0)\\\\c=7\times 5-3\times 0\\\\c=35

Therefore, we can see that

At C(5,0) we get maximum value as c = 35.

Hence,  The value of x= 5

And the value of y =0.

You might be interested in
Issac drove 100 miles at a speed of 50 mph and then 120 miles at a speed of 30 mph what was his average speed for the entire tri
Lina20 [59]

Answer:

The average speed is 36.67 m/h

Step-by-step explanation:

100/50 = 2

120/30 = 4

Total time = 6

Total distance = 220 miles

220/6 = 36.67

6 0
3 years ago
the VD warehouse is having a clearance sale. a CD player that originally sell for 60 is now priced tp 36 what is the percent dec
Maksim231197 [3]

Answer:

Im not 200% sure but i think its 11

8 0
3 years ago
Please help! While mining, Mike found a large metal bar that contained 6 ounces of lead. Mike also determined that the bar was 4
Dima020 [189]

Answer:

15 ounces

Step-by-step explanation:

6/40 = 0.15

0.15 x 100 = 15

15 ounces

7 0
2 years ago
Dos cuadrados de lado
Kaylis [27]

La franja amarilla del rectángulo tiene un área de 30 centímetros cuadrados.

<h3>¿Cuál es el área de la franja amarilla del rectángulo?</h3>

En este problema tenemos un rectángulo formado por dos cuadrados que se traslapan uno al otro. La franja amarilla es el área en la que los cuadrados se traslapan. La anchura del rectángulo es descrita por la siguiente ecuación:

(10 - x) + 2 · x = 17

Donde x se mide en centímetros.

A continuación, despejamos x en la ecuación descrita:

10 + x = 17

x = 7

Ahora, el área de la franja amarilla se determina mediante la fórmula de area de un rectángulo:

A = b · h

Donde:

  • b - Base del rectángulo, en centímetros.
  • h - Altura del rectángulo, en centímetros.
  • A - Área del rectángulo, en centímetros cuadrados.

A = (10 - 7) · 10

A = 3 · 10

A = 30

El área de la franja amarilla del rectángulo es igual a 30 centímetros cuadrados.

Para aprender más sobre áreas de rectángulos: brainly.com/question/23058403

#SPJ1

8 0
1 year ago
If the area of a circle is 154cm2 what is the radius of that circle​
Komok [63]

Answer:

7

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Other questions:
  • A deep-sea exploring ship is pulling up a diver at a rate of 25 feet per minute the diver is 200 feet below sea level how deep w
    15·2 answers
  • What would the point (2,5) a solution to the equation y=2x+3
    11·1 answer
  • Consider the two functions. Which statement is true?
    5·1 answer
  • 40 POINT WORD PROBLEM FOR HW
    7·2 answers
  • What is the gradient of a line perpendicular to a line with a gradient of 5?
    7·1 answer
  • 4x+10=x+5+50 What is the answer to this equation
    14·2 answers
  • Which of the following best shows the distributive property?
    14·1 answer
  • The point (4, 10) is in each scatterplot. In which one is it an outlier? On a graph, points (4, 10) and (6, 1) are outside of th
    7·2 answers
  • g The population of Little Townville in 2005 was 13,625 people. In 2009 the population grew to 15,325 people. Assume that this t
    7·1 answer
  • 8.36 Polly the Penguin invested $250 in the Antarctic stock market. During the first year her investment suffered a 15% loss, bu
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!