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Dima020 [189]
1 year ago
8

Answer number 2 pleaseeee thank you

Mathematics
1 answer:
Fittoniya [83]1 year ago
4 0

Hi!

a: <em>F </em><em>n </em><em>G </em>=(Intersection) {4,6,8,10}

b: <em>F </em><em>n </em><em>H </em>={empty set}

Because there is no common element between the elements of set F and the elements of set H.

Note: It may not be very clear as I don't speak English.

God work!

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Y=2/5X+4 is the slope-intercept form. 

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Step-by-step explanation:

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Southern Oil Company produces two grades of gasoline: regular and premium. The profit contributions are $0.30 per gallon for reg
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Answer:

a) MAX--> PC (R,P) = 0,3R+ 0,5P

b) <u>Optimal solution</u>: 40.000 units of R and 10.000 of PC = $17.000

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I will solve it using the graphic method:

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R : Regular Gasoline

P: Premium Gasoline

We also call:

PC: Profit contributions

A: Grade A crude oil

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• P--> PC: $0,5 --> 0,6 A

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Answer d)

1. 0.3 R+0.6 P ≤ 18.000

2. R+P ≤ 50.000

3. P ≤ 20.000

4. R ≥ 0

5. P ≥ 0

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So we define the vertices: (you can see on the graphic, or calculate them with the intersection of the ecuations)

V:(R;P)

• V1: (0;0)

• V2: (0; 20.000)

• V3: (20.000;20.000)

• V4: (40.000; 10.000)

• V5:(50.000;0)

We check each one in the profit ecuation:

MAX--> PC (R,P) = 0,3R+ 0,5P

• V1: 0

• V2: 10.000

• V3: 16.000

• V4: 17.000

• V5: 15.000

As we can see, the optimal solution is  

V4: 40.000 units of regular and 10.000 of premium.

To have the slack variables you have to check in each restriction how much you have to add (or substract) to get to de exact (=) result.  

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