2 years ago

Please Help if you can.

Mathematics

1 answer:

Leno4ka [110]2 years ago

4 0

Answer:

6.28 meters

Step-by-step explanation:

Circumference is D $\pi$

D=2 meters

2*3.14 = 6.28

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Find the optimal solution for the following problem. (Round your answers to 3 decimal places.)

irina1246 [14]

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Maximize C = $9x + 7y$

$8x + 10y \leq 17$

$11x + 12y\leq 25$

and x ≥ 0, y ≥ 0

Plot the lines on graph

$8x + 10y \leq 17$

$11x + 12y\leq 25$

$x\geq 0$

$y\geq 0$

So, boundary points of feasible region are (0,1.7) , (2.125,0) and (0,0)

Substitute the points in Maximize C

At (0,1.7)

Maximize C = $9(0) + 7(1.7)$

Maximize C = $11.9$

At (2.125,0)

Maximize C = $9(2.125) + 7(0)$

Maximize C = $19.125$

At (0,0)

Maximize C = $9(0) + 7(0)$

Maximize C = $0$

So, Maximum value is attained at (2.125,0)

So, the optimal value of x is 2.125

The optimal value of y is 0

The maximum value of the objective function is 19.125

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3 years ago