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Mazyrski [523]
3 years ago
6

Consider a maximization linear programming problem with extreme points xi, x2, Xz. and x4. and extreme directions d1,. d2, and d

z. and with an objective function gradient e such that cx1 =4, cx2 = 6, cx3= 6, cx4=3, cd1= 0, cd2=0, and cd3=2. Characterize the set of alternative optimal solutions to this problem.
Mathematics
1 answer:
DIA [1.3K]3 years ago
4 0

Answer:

Set of alternative optimal solution : 0 ≤ z ≤ 1.5

Hence There will be an infinite set of Alternative optimal solution

Step-by-step explanation:

considering Cx1 = 4

∴ C = 4 / x1

Cx2 = 6

∴ 4x2 - 6x1  = 0

2x2 - 3x1 = 0 ------ ( 1 )

considering Cx3 = 6

C = 6/x3

Cx4 = 3

∴ (6/x3) x4 - 3 = 0

= 2x4 - x3 = 0 ---- ( 2 )

attached below is the remaining part of the solution

set of alternative optimal solution : 0 ≤ z ≤ 1.5

There will be an infinite set of Alternative optimal solution

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Ierofanga [76]

Answer:

A:  W = 8x

B:  12y + 320

C:  44

Step-by-step explanation:

A:  Lana can make $8 an hour.

W = 8x

B:  She makes $12 per hour for every hour of overtime.  This means that she already worked 40 hours with regular pay.  She has already made $320.

40 × $8 = $320

S = 12y + 320

C:  Plug in the amount Lana earned into the second equation.  The second equation will account for pay from both regular and overtime hours.

S = 12y + 320

368 = 12y + 320

368 - 320 = (12y + 320) - 320

48 = 12y

48/12 = (12y)/12

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Lana worked 4 hours of overtime and 40 hours of regular hours.  In total, she worked 44 hours.

4 + 40 = 44

4 0
3 years ago
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The vertex of the graph of y = -4(x + 3)² + 2 is<br> DONE
wariber [46]

A parabola is a mirror-symmetrical planar curve that is nearly U-shaped. The vertex of the parabola will lie at (-3,2).

<h3>What is the Equation of a parabola?</h3>

A parabola is a mirror-symmetrical planar curve that is nearly U-shaped.

y = a(x-h)² + k

where,

(h, k) are the coordinates of the vertex of the parabola in the form (x, y);

a defines how narrower is the parabola, and the "-" or "+" that the parabola will open up or down.

Comparing the given equation with the equation of a parabola, we will get,

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Hence, the vertex of the parabola will lie at (-3,2).

Learn more about Parabola:

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5 0
2 years ago
In another baseball division, one team had a winning percentage of 0.444 repeating What fraction of their games did this team wi
UkoKoshka [18]

Answer:

x = \frac{4}{9}

Step-by-step explanation:

Given

Winning Percentage = 0.444 repeating

Required

Represent as a fraction

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x = 0.444

Convert to fraction

x = \frac{444}{1000}

Next step, is to convert to fraction repeating

To do this, we simply subtract 1 from the denominator

x = \frac{444}{1000 - 1}

x = \frac{444}{999}

Simplify to the lowest term: Divide numerator and denominator by 37

x = \frac{444/37}{999/37}

x = \frac{12}{27}

Simplify to the lowest term: Divide numerator and denominator by 3

x = \frac{12/3}{27/3}

x = \frac{4}{9}

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There winning fraction is \frac{4}{9}

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alina1380 [7]
It is mostly likely D or B but I think it’s D
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If you are using a calculator, simply enter 78÷260×100 which will give you 30 as the answer.

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