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3 years ago

Consider the following problem.

Mathematics

1 answer:

tatiyna3 years ago

6 0

Answer:

The answer to Question A is well explained in the attachment

B) The increase in the Z value with the increase in unit in the particular resource is said to be shadow source of a resource.

It can be resolved with the help of an optimal solution

Step-by-step explanation:

Consider the following problem.

Maximize Z = x1 ? 7x2 + 3x3

subject to

2x1 + x2 ? x3 ? 4

4x1 ? 3x2 ? 2

?3x1 + 2x2 + x3 ? 3

x1, x2, x3 ? 0

(a) (points: 6) Work through the simplex method step by step to solve the problem.

(b) (points: 4.5) Identify the shadow prices for the three resources and describe their significance.

The answer to A is explained in the attachment

b) The increase in the Z value with the increase in unit in the particular resource is said to be shadow source of a resource.

It can be resolved with the help of an optimal solution

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<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%7B2%7D%5E%7Bx%20%2B%202%7D%20-%20%20%7B2%7D%5E%7B%20x%20%2B%203%7D%20%7D%7B%2

weeeeeb [17]

I suppose you just have to simplify this expression.

(2ˣ⁺² - 2ˣ⁺³) / (2ˣ⁺¹ - 2ˣ⁺²)

Divide through every term by the lowest power of 2, which would be x + 1 :

… = (2ˣ⁺²/2ˣ⁺¹ - 2ˣ⁺³/2ˣ⁺¹) / (2ˣ⁺¹/2ˣ⁺¹ - 2ˣ⁺²/2ˣ⁺¹)

Recall that nª / nᵇ = nª⁻ᵇ, so that we have

… = (2⁽ˣ⁺²⁾ ⁻ ⁽ˣ⁺¹⁾ - 2⁽ˣ⁺³⁾ ⁻ ⁽ˣ⁺¹⁾) / (2⁽ˣ⁺¹⁾ ⁻ ⁽ˣ⁺¹⁾ - 2⁽ˣ⁺²⁾ ⁻ ⁽ˣ⁺¹⁾)

… = (2¹ - 2²) / (2⁰ - 2¹)

… = (2 - 4) / (1 - 2)

… = (-2) / (-1)

… = 2

Another way to get the same result: rewrite every term as a multiple of y = 2ˣ :

… = (2²×2ˣ - 2³×2ˣ) / (2×2ˣ - 2²×2ˣ)

… = (4×2ˣ - 8×2ˣ) / (2×2ˣ - 4×2ˣ)

… = (4y - 8y) / (2y - 4y)

… = (-4y) / (-2y)

… = 2

8 0

3 years ago

Please help with solving this

gizmo_the_mogwai [7]

Answer:

x=-7

Step-by-step explanation:

5x-2x+1=3x-6-x first combine like terms

3x+1=2x-6 combine like terms by subtracting 2x from both sides

x+1=-6 subtract 1 from both sides

x=-7

4 0

3 years ago

40 pounds of cashews costing $9.20 per pound were mixed with 100 1b of peanuts costing $3.32 per pound. Find the cost of the res

TEA [102]

It cost 12.52 cents all together

7 0

3 years ago

The scatter plot below shows the relationship between drop height and speed of a roller coaster.

attashe74 [19]

Answer: I believe it is Response 3

Step-by-step explanation:

3 0

3 years ago

There are 24 adults and 30 children at a science museum

vovikov84 [41]

Okay so let’s start by figuring what the total number of people is. To get that we add 24 and 30.
24+30= 54
So we have a total of 54 people.
Now, how many children are there?
30 children... which means the ratio is 30:54

Thirty children to fifty four people total at the museum.

Hope this helps!
Contact me if you have any more questions or concerns.

3 0

3 years ago