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
mariarad [96]
3 years ago
12

Given the linear programming problem, use the method of corners to determine where the minimum occurs and give the minimum value

.
Minimize

Exam Image

Subject to
x ≤ 3
y ≤ 9
x + y ≥ 9
x ≥ 0
y ≥ 0

Mathematics
1 answer:
algol [13]3 years ago
3 0

Answer:

Minimum value of function C=x+10y is 63 occurs at point (3,6).

Step-by-step explanation:

To minimize :

                                   C=x+10y

Subject to constraints:

                                   x\leq 3---(1)\\y\leq 9---(2)\\x+y\geq 9----(3)\\x\geq 0\\y\geq 0

Eq (1) is in blue in figure attached and region satisfying (1) is on left of blue line

Eq (2) is in green in figure attached and region satisfying (2) is below the green line

Considering x+y\geq 9, corresponding coordinates point to draw line are (0,9) and (9,0).

Eq (3) makes line in orange in figure attached and region satisfying (3) is above the orange line

Feasible region is in triangle ABC with common points A(0,9), B(3,9) and C(3,6)

Now calculate the value of function to be minimized at each of these points.

                                    C=x+10y

at A(0,9)

                                     C=0+10(9)\\C=90

at B(3,9)

                                     C=3+10(9)\\C=93

at C(3,6)

                                     C=3+10(6)\\C=63

Minimum value of function C=x+10y is 63 occurs at point C (3,6).

You might be interested in
PLEASE I NEED THIS TODAY!!!
Troyanec [42]

Answer:

Option D y\leq -3x-3 and y

Step-by-step explanation:

step 1

<u>Find the equation of the inequality A</u>

we know that

The solution of the inequality A (dashed line)  is the shaded area below the dashed line

The equation of the dashed line is y=-\frac{1}{2}x+2

therefore

The equation of the inequality A is y

step 2

<u>Find the equation of the inequality B</u>

we know that

The solution of the inequality B (solid line)  is the shaded area below the solid line

The equation of the solid line is y=-3x-3

therefore

The equation of the inequality B is y\leq -3x-3

The system of linear inequalities is

y\leq -3x-3 and y

6 0
3 years ago
Keke's favorite book weighs 2lbs 14oz. How many total ounces does her book weigh? * ​
Nonamiya [84]

Answer:

i think it is 46

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
A spinner with 6 equally sized sliced has 2 blue slices 1 yellow slice and e red slices the dial is and stops on a slice at rand
Nutka1998 [239]
1/3 would be the answer
6 0
1 year ago
Read 2 more answers
4. if f (x) = 2x2 – 32, what is the value of f (5)?
xenn [34]

Step-by-step explanation:

f(x)=2×2-32

f(5)=252-32

f(5)=220

3 0
2 years ago
Answer<br><br> -10 – (-2) =
Allisa [31]

Answer:

8

Step-by-step explanation:

- (-2) is the same as + 2

-10 + 2 = -8

8 0
2 years ago
Read 2 more answers
Other questions:
  • Can you please help me with this
    7·1 answer
  • A team of astronauts is preparing a mission to the moon. The pull of gravity on the moon is different than on Earth. On the moon
    13·1 answer
  • 639.497 rounded to the nearest tenth
    11·1 answer
  • I need the answer please ;/
    10·1 answer
  • Find the sum of all integers between 50 and 500 which are divisible by 7.
    9·1 answer
  • Elena and Jada are 12 miles apart on a path when they start moving toward each other. Elena runs at a constant
    5·1 answer
  • I need the answer for this question
    10·2 answers
  • Do you guys know this?
    10·1 answer
  • Find the derivative of J(w)= T-Re^x
    9·1 answer
  • Determine f(4), f(-5) and f(-2/3)
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!