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3 years ago

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

Mathematics

1 answer:

irina1246 [14]3 years ago

4 0

Answer:

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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Answer:

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How do you find the equations of the vertical and horizontal asymptotes for a graph when you only have the graph and no function

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Answer:

See below for answer and explanations (as well as an attached graph)

Step-by-step explanation:

Pay attention to the behavior of the asymptotes. If the asymptotes are approaching a certain x-value or y-value, then that value is undefined for the function.

Take for example $y=\frac{1}{x}$ :

As x approaches ∞ and -∞, then y approaches 0, which is our horizontal asymptote

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See the graph for a visual.

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3 years ago

Trigonometry (ASAP) (Urgent)

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Answer:

h = 1.403733341286

Step-by-step explanation:

17.

the triangle of sides ‘l’ and ‘l-h’ is a right angled triangle.

Then

$\cos \theta =\frac{l-h}{l}$

Then

$l\cos \theta =l-h$

Then

$h=l-l\cos \theta$

18.

For l = 6 and θ = 40 :

$h=l-l\cos \theta$

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1 year ago

A rectangular-shaped school courtyardhas a length of 280 feet and a width of150 feet wide. What is the approximatelength of a di

UNO [17]

Answer:

317.6 feet

Step-by-step explanation:

the length of the diagonal can be determined using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c = hypotenuse

280² + 150²

= 78,400 + 22,500

= 100,900

take the square root of 100,900

= 317.648 feet

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

317.6 to the nearest tenth

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3 years ago