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Paul [167]
3 years ago
13

What is the minimum value of the objective function, C with given constraints? C=5x+3y {⎨x+3y≤9 {5x+2y≤20 {x≥1 {y≥2

Mathematics
1 answer:
Solnce55 [7]3 years ago
3 0

Answer:

The answer is below

Step-by-step explanation:

Plotting the following constraints using the online geogebra graphing tool:

x + 3y ≤ 9         (1)

5x + 2y ≤ 20    (2)

x≥1 and y≥2      (3)

From the graph plot, the solution to the constraint is A(1, 2), B(1, 2.67) and C(3, 2).

We need to minimize the objective function C = 5x + 3y. Therefore:

At point A(1, 2): C = 5(1) + 3(2) = 11

At point B(1, 2.67): C = 5(1) + 3(2.67) = 13

At point C(3, 2): C = 5(3) + 3(2) = 21

Therefore the minimum value of the objective function C = 5x + 3y is at point A(1, 2) which gives a minimum value of 11.

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Two trains leave the station at the same time, one heading west and the other east. The westbound train travels at 95 miles per
irinina [24]

Answer:

2.6 hr

Step-by-step explanation:

distance / rate = time

rate = 75 + 95 = 170  mile/hr

distance = 442 miles

442 miles / 170 mile/hr  = 2.6 hr

7 0
1 year ago
Eduardo purchased a car for $18,500 with 6.5% sales tax, a freight charge of $450, a registration fee of $155, and an ownership
siniylev [52]

Answer:

17852.5$

Step-by-step explanation:

I already answer this in another part, but here it is againa:

In this case, all you need to do is sum all the amounts and take out the down payment of 2500$

First, the car of 18,500 with the 6.5% sale tax, it would be:

18,500 * (6.5/100) = 1202.5$

18500 + 1202.5 = 19702.5$

Now the charge and fees:

450+155+45 = 650$

Then:

19702.5 + 650 = 20352.5$

Finally, the down payment:

20352.5 - 2500 = 17852.5 $

6 0
3 years ago
Let A = { all odd numbers) and B = {1,3,5,7). Is B a subset of A?
Alchen [17]

Answer:

Step-by-step explanation:

Yes

{1,3,5,7} contains the first 4 odd numbers.

{1,2,3,5,7} would not be a subset.

4 0
3 years ago
Read 2 more answers
Help answer true or false
Sindrei [870]
5 and 6 are true but 7 is not true. If you divide an odd number by 2 it's not going to be half of it
4 0
2 years ago
What is the volume of this composite solid?<br> 16 m<br> 5 m<br> 12 m<br> 9 m
son4ous [18]

Answer:

864 cubic meters

Step-by-step explanation:

Rectangular prism = 5x9x12=540

Triangular prism = 1/2(9)(6)(12)=324

540+324=864 cubic meters

3 0
2 years ago
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