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3 years ago

X = – 2y – 1 x = – 5y + 5

Mathematics

1 answer:

motikmotik3 years ago

6 0

Answer:

x = -5

y = 2

Step-by-step explanation:

x = – 2y – 1

= -x - 2y - 1

-x - 2y = 1

x = – 5y + 5

= -x - 5y + 5

-x - 5y = -5

-x - 2y = 1

-x - 5y = -5

___________--

3y = 6

y = 6/3

y = 2

-x - 2y = 1

-x - 2(2) = 1

-x - 4 = 1

-x = 1 + 4

-x = 5

x = -5

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2 years ago

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Dimensions are 2 m by 1 meter by 1 meter,

Minimum cost is $ 18.

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Now, if h be the height of the container,

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Differentiating with respect to w,

$C'(w) = 12w -\frac{12}{w^2}$

Again differentiating with respect to w,

$C''(w) = 12 + \frac{24}{w^3}$

For maxima or minima,

C'(w) = 0

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For w = 1, C''(w) = positive,

Hence, for width 1 m the cost is minimum,

Therefore, the minimum cost is C(1) = 6(1)²+12 = $ 18,

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