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mafiozo [28]
3 years ago
9

Find the values of x and y that maximize the objective function P=3x+2y for the graph. What is the maximum value?

Mathematics
1 answer:
AURORKA [14]3 years ago
3 0

Answer:

(9, 0)

Step-by-step explanation:

Maximum or minimum value occurs at the Corner. The points given are (0, 8), (5, 4) and (9, 0).

Substitute (0, 8) in the objective function.

We get P = 3(0) + 2(8) = 16

Now for (x , y) = (5, 4)

P = 3(5) + 2(4) = 15 + 8 = 23

At (9, 0) we get P = 3(9) + 2(0) = 27.

Clearly, we have the maximum value at (9, 0).

And the maximum value is 27.

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If the area of a garden is 11 square feet what could be the dimensions of the garden
sergejj [24]
Assuming that the garden is rectangular in shape, the area of a rectangle is given by length x width.

11 is a prime with factors 1 and 11.

Therefore, if the area of a (rectangular) garden is 11 square feet, then the possible dimension of the garden is 1 feet by 11 feet.
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3 years ago
Find the prime factorization of 11250
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2 x 3 x 3 x 5 x 5 x 5 x 5

Step-by-step explanation:

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4 0
2 years ago
(2x+3)(4x-1)<8x^(2)+1
Sidana [21]

Answer: x

Step-by-step explanation:

(2x+3)(4x-1)

Begin by multiplying parentheses.

(2x*4x)+(2x*-1)+(3*4x)+(3*-1)

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Subtract 8x^2

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Add 3

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Combine like terms;

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Divide by 10

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8 0
3 years ago
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jolli1 [7]
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7 0
3 years ago
Evaluate the piecewise function for the given values.
adoni [48]

Answer:

f(-3) = -2

f(-2.6) = -2

f(0.6) = 2.4

f(4.5) = 8.5

Step-by-step explanation:

(Whole question:

Evaluate the piecewise function for the given values.

Find f(-3), f(-2,6), f(0.6), and f(4.5) for f(x)={ -2 If x ≤ 0 4x. If 0 <x <1. x + 4. If x ≥ 1)

As the piecewise function shows, the function f(x) has the value of -2 for values of x lesser or equal than 0, has the value of 4x if the value of x is between 0 and 1, and has the value of x+4 for values of x greater or equal than 1.

So, for f(-3), the value of x is lesser than 0, so we have that f(-3) = -2

For f(-2.6), the value of x is lesser than 0, so we have that f(-3) = -2

For f(0.6), the value of x is between 0 and 1, so we have that f(0.6) = 4*0.6 = 2.4

For f(4.5), the value of x is greater than 1, so we have that f(4.5) = 4.5 + 4 = 8.5

5 0
3 years ago
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