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Alexus [3.1K]
3 years ago
7

ABC company wishes to minimize its cost. Its cost is given by the equation C = 3x+4y. The business constraints are as follows:

Mathematics
1 answer:
satela [25.4K]3 years ago
8 0

Answer:

(2, 0)

Step-by-step explanation:

To solve this problem, we have to plot a graph. A graph was plotted using geogebra online graphing calculator. From the attached graph we can see the points that satisfy the constraints: (0,0), (2, 0), (2, 6), (6, 4). But since x,y > 0, this leaves us with B(2, 6), C(2, 0), D(6, 4)

The cost equation is C = 3x + 4y

At point B(2, 6): C  = 3(2) + 4(6) = 30

At point C(2, 0): C  = 3(2) + 4(0) = 6

At point D(6, 4): C  = 3(6) + 4(4) = 34

Therefore the minimum cost is at C(2, 0)

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-1 + n=8(n+6) what does n equal?
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irina1246 [14]

Answer:

  • 1 = pentagon
  • 2 = diamond
  • 3 = square
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  • 6 = rectangle
  • 7 = oval
  • 8 = triangle
  • 9 = hexagon
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Step-by-step explanation:

Each half of a hanger divides the total weight in half. The right-most vertical has a total weight of 80/16 = 5. It consists of a square and a diamond, and we know the square is 1 more than the diamond. That means 2 diamonds weigh 5 -1 = 4. A diamond weighs 2, and a square weighs 3. The other half of that balance is a circle, which weighs 5.

The total of a square and oval is 10, so the oval is 10 -3 = 7. The two trapezoids weigh 20, so each is 10.

The second vertical from the left is a circle and diamond which will weigh 5+2 = 7. That makes the sum of a pentagon and rectangle also be 7. The 7+7 = 14 below the square on the left branch makes the total of that branch be 14+3 = 17, which is also the sum of the triangle and hexagon.

The weight below the rectangle at top left is 17+17 = 34, and the weight of that entire branch is 40. Thus the rectangle is 40-34 = 6, which makes the pentagon 7-6 = 1.

We require the sum of the triangle and hexagon be 17, with the triangle being the smaller value, and both being 9 or less (the trapezoid is the only figure weighing more than 9). Hence the triangle is 8 and the hexagon is 9.

The weights are summarized in the answer section, above.

8 0
2 years ago
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