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(10)

¢ ¢ 3 x +2 y =18 x y x y y x y x 2 2 2 8>>><>>>: M ( x ; y ) 0 x +3 y 6 36 2 x +3 y =36 x + y 6 242 0 2 x + y =24 6 y 6 92 x > 00 0 ( O ; ~{;~| )

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0

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0

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0

M

(x ; y)



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  x > 0 0 6 y 6 9 2x + y 6 24 2x + 3y 6 36

2

2

2

x

y

x

y

x

y

x

y

∆

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∆

−

→ i

−

→ j

0

u 0

v 0

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v 0 = 1 000

u n

v n

n

u 1 , u 2

u 3

v 1 , v 2

v 3

(u n )

(v n )

f

f (x) = x 3 − 10x 2 + 25x + 1 200.

f 0

f

f 0 (x)

f 0 (x) = (3x − 5)(x − 5)

f 0

f

C

f

f (x) = 2 000

x

f (0)

0 5 10 0

500 1000 1500 2000 2500

x y

1

C

x

x

f (x) = x 3 − 12x 2 + 50x + 126.

C

f

C

y = 50x

R(x) = 50x.

R

B(x)

B

B(x) = − x 3 + 12x 2 − 126.

B 0 (x)

x

B 0

B

u ₀

v ₀

u ₀ = 1 500

v ₀ = 1 000

u ₁ , u ₂

u ₃

v ₁ , v ₂

v ₃

f (x) = x ³ − 10x ² + 25x + 1 200.

f ⁰

f ⁰ (x)

f ⁰ (x) = (3x − 5)(x − 5)

f ⁰

f (x) = x ³ − 12x ² + 50x + 126.

B(x) = − x ³ + 12x ² − 126.

B ⁰ (x)

B ⁰

B ⁰ (x) = − 3x(x − 8)

B ⁰ (x)

C(x) = 0, 2x ² + 8x + 500.

f ⁰ (x)

f ⁰

f ⁰ (x) = (x − 50)(0, 2x − 10) x ²

f ⁰ (x)

B(x) = − 0, 45x ² + 54x − 500.

B ⁰ (x)

B ⁰

B ⁰ (x)

c(x) = x ³ − 30x ² + 309x + 500

c ⁰

c ⁰ (x) = 3(x − 10) ² + 9

c ⁰ (x)

b(x) = − x ³ + 30x ² − 108x − 500

b ⁰

b ⁰ (x) = − 3(x − 2)(x − 18)