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Oduvanchick [21]
2 years ago
14

Given the system of constraints name all vertices. Then find the maximum value of the given objective

Mathematics
1 answer:
larisa86 [58]2 years ago
3 0

Answer:

35

Step-by-step explanation:

The constraints are

The red line represents the function

y\leq \dfrac{1}{3}x+1

At y=0

0=\dfrac{1}{3}x+1\\\Rightarrow -1=\dfrac{1}{3}x\\\Rightarrow x=-3

At x=0

y=0+1\\\Rightarrow y=1

Two points are (-3,0),(0,1)

The blue line represents the function

5\geq y+x

at y=0

5=x

at x=0

y=5

Two points are (5,0),(0,5)

The other two constraints are x\geq 0, y\geq 0. So, the point has to be in the first quadrant

From the graph it can be seen there are two points where the function will be maximum let us check them.

(3,2)

7x-2y=7\times 3-2\times 2=17

(5,0)

7x-2y=7\times 5-2\times 0=35

So, the maximum value of the function is 35.

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50% of what number is 307
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Answer:

614

Step-by-step explanation:

Let the number be x.

50% × x = 307

0.5x = 307

x = 307/0.5

x = 614

50% of 614 is 307.

8 0
3 years ago
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Suppose that a cyclist began a 374 mi ride across a state at the western edge of the​ state, at the same time that a car traveli
kherson [118]
This is the concept of relative speed; We are required to calculate the speed of the car and the bicycle.
Distance between the car and Bicycle=374 miles
Time they met=5.5 hr
Speed traveled by bicycle=x
Speed traveled by car=x+33.4334
Relative speed=x+(x+33.4334)=(2x+33.4334) mph
Distance=speed*time
374=(2x+33.4334)*5.5
374=11x+183.8837
collecting like term we get:
374-183.8837=11x
11x=190.1163
thus;
x=(190.1163)/(11)
x=17.2833 mph
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4 0
3 years ago
The ice cream shop has 80 different possible sundaes consisting of 1 flavor of ice cream, 1 syrup, and 1 candy topping. If the i
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<span>4: 80*5*4 </span>
<span>= 1600 diff ice creams flavors. yum. 

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3 years ago
A High School soccer team is going to Columbus, Ohio to see a professional soccer game. A coordinate grid is superimposed on the
finlep [7]

Answer: The coordinate are

( 5 , 2.5 )

Distance = 5

Step-by-step explanation:

The coordinates of the rest stop will be the mid point between the high school is at point (3, 4) and the stadium in Columbus at point (7, 1).

Mid point = (X1 +X2)/2 , (Y1+Y2)/2

(3+7)/2 , (4+1)/2 = ( 5 , 2.5 )

The approximate distance between the high school and the stadium will be

D^2 = (7-3)^2 +( 4-1)^2

Where D = distance

D^2 = 4^2 + 3^2

D = 5

4 0
3 years ago
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