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BlackZzzverrR [31]
3 years ago
10

Given constraints: x is greater than or equal to 0, y greater than or equal to 0, 2x + 2y is greater than or equal to 4, x + y i

s less than or equal to 8 Explain the steps for maximizing the objective function P = 3x + 4y.

Mathematics
2 answers:
Alik [6]3 years ago
6 0

Graph the inequalities given by the set of constraints. Find points where the boundary lines intersect to form a polygon. Substitute the coordinates of each point into the objective function and find the one that results in the largest value.




seropon [69]3 years ago
4 0
Hello,

We can use a graph and find the vertex of the domain (ABCD).
The maximum is a vertex that maximize the variable y (greater coefficient (4)).

C (0,8) maximize P=3x+4y=3*0+4*8=32

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F(x) = 3x - 3 <br> g(x) = 4x+5 <br> find (f•g) (3) <br><br> only numerical answers work
Andreas93 [3]

Answer:

48 bcoz u do 4(3)+5 do f(g) than for f(17) u do 3(17)-3

6 0
3 years ago
Amber and Allen both leave there house to go to their grandmother's house 240 miles away. Amber travels at a speed 60 mph. If sh
Montano1993 [528]

If she leaves 15 minutes earlier than Allen, she would have to drive at 56.47 mph to arrive at the same time as Amber

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more number and variables.

Amber travels at a speed 60 mph, hence the time taken (t) is:

60 = 240/t

t = 4 hours

If he leaves 15 minutes earlier, the time would be 4 hr + 0.25 hr (15 min) = 4.25 hr, hence:

Speed = 240 miles / 4.25 hr = 56.47 mph

If she leaves 15 minutes earlier than Allen, she would have to drive at 56.47 mph to arrive at the same time as Amber

Find out more on equation at: brainly.com/question/2972832

#SPJ1

4 0
2 years ago
What is the length of segment AE?
nexus9112 [7]

Answer:

AE=\frac{50}{3}\ units

Step-by-step explanation:

step 1

In the right triangle ABC

Applying the Pythagoras Theorem fin the hypotenuse AC

AC^{2} =AB^{2}+BC^{2}

substitute

AC^{2} =6^{2}+8^{2}

AC^{2} =100

AC =10\ units

step 2

we know that

If two figures are similar, then the ratio of its corresponding sides is equal

so

\frac{AB}{CD}=\frac{AC}{CE}

substitute and solve for CE

\frac{6}{4}=\frac{10}{CE}\\ \\CE=4*10/6\\ \\CE=\frac{20}{3}\ units

step 3

Find the length of segment AE

AE=AC+CE

substitute the values

AE=10\ units+\frac{20}{3}\ units=\frac{50}{3}\ units

6 0
3 years ago
Help anyone pleaseeee
AlexFokin [52]

Answer:

36 <127

(36,127°)

36 [ cos (127) + i sin (127)]

Step-by-step explanation:

w1 = 2 < 95

w2 = 18 < 32


w1 * w2

We multiply the magnitude and add the angles

w1 * w2 = 2*18 < (95+32)

            =36 < 127

             36 [ cos (127) + i sin (127)]

4 0
3 years ago
Find the unknown dimension of a rectangle if its perimeter is 254 meters and one dimension measures 6 meters. Use labeled sketch
12345 [234]

Answer:2

Step-by-step explanation:

4 0
3 years ago
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