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3 years ago

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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Step-by-step explanation:

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2 years ago

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Compute the missing data in the table for the following exponential function f (x) = (one-fourth) Superscript x.

aliina [53]

Answer:

$F(4) = \frac {1}{256}$

Step-by-step explanation:

Given the following mathematical function;

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$F(1) = \frac {1}{4}$

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$F(2) = \frac {1}{4^{2}}$

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$F(3) = \frac {1}{4^{3}}$

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When x = 4

$F(4) = \frac {1}{4^{4}}$

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When x = 5

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2 years ago

What is the approximate volume of a cylinder with a radius of 8 cm and height of 5 cm?

lutik1710 [3]

Rounded up, the answer is 395 centimeters sq.

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3 years ago

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Members of the band are selling candy bars to raise money. The director uses this equation to calculate the amount of profit, p,

ivolga24 [154]

Answer:

Step-by-step explanation:

Given the equation used to calculate the amount of profit, p, made from selling n candy bars expressed as p = 1.50n – 500

To find the number of candies sold for $700, we are going to substitute p = $700 into the given expression and find n as shown;

700 = 1.50n - 500

Add 500 to both sides

700+500 = 1.50n-500+500

1200 = 1.50n

Divide both sides by 1.50

1200/1.50 = 1.50n/1.50

800 = n

Rearrange

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Hence 800 candy bars must be sold to make $700 profit

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2 years ago

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morpeh [17]

0: 3000

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