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3 years ago

Answer please 1st and second

Mathematics

2 answers:

defon3 years ago

8 0

1/9 x 12 is 4/3 or 1.333 repeated

ololo11 [35]3 years ago

3 0

The correct answer is 1.333

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2 years ago

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3 years ago

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gayaneshka [121]

Here , the ratio UV:VW and UT:TS will be in proportion , so ;

${:\implies \quad \sf \dfrac{UV}{VW}=\dfrac{UT}{TS}}$

Putting the given values ;

${:\implies \quad \sf \dfrac{18}{36}=\dfrac{UT}{24}}$

${:\implies \quad \sf UT=\dfrac{1}{2}\times 24}$

${:\implies \quad \bf \therefore \quad \underline{\underline{UT=12 \:\: units}}}$

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2 years ago

Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty or the objective function is

Volgvan

Answer:

(x,y)=(0,7.333)

Step-by-step explanation:

We are required to:

Maximize p = x + 2y subject to

x + 3y ≤ 22
2x + y ≤ 14
x ≥ 0, y ≥ 0.

The graph of the lines are plotted and attached below.

From the graph, the vertices of the feasible region are:

(0,7.333)
(4,6)
(0,0)
(7,0)

At (0,7.333), p=0+2(7.333)=14.666

At (4,6), p=4+2(6)=4+12=16

At (0,0), p=0

At (7,0), p=7+2(0)=7

Since 14.666 is the highest, the maximum point of the feasible region is (0,7.333).

At x=0 and y=7.333, the function p is maximized.

7 0

3 years ago