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Grace [21]
3 years ago
7

B. What is the total cost for all three people?​

Mathematics
1 answer:
STALIN [3.7K]3 years ago
5 0
What is the problem
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Find two positive numbers satisfying the given requirements. the product is 242 and the sum is a minimum. (smaller value) (large
Pepsi [2]

The two positive numbers satisfying the given requirements are 15.56 and 15.56

For given question,

Let x and y be  two positive numbers satisfying the given requirements.

⇒ xy = 242             .............(1)

The sum of given two positive numbers is a minimum.

Let the sum of given two positive numbers is S.

⇒ x + y = S             ............(2)

From equation(1),

⇒ y = 242/x

Substitute above value of y in equation (2),

⇒ x + y = S  

⇒ S = x + (242 / x)    

Now, for above equation we find the derivative of x with respect to x.

⇒ 0 = 1 - \frac{242}{x^{2} }

⇒ 242/x² = 1

⇒ x² = 242

⇒ x = ±15.56

Since the numbers are positive, x = 15.56

For x = 15.56

⇒ y = 15.56

Therefore, the two positive numbers satisfying the given requirements are 15.56 and 15.56

Learn more about the equation here:

brainly.com/question/649785

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On which number line do the points represent negative five and one over two and +2?
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