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Oksi-84 [34.3K]
3 years ago
5

The cost C in dollars of manufacturing x bicycles at a production plant is given by the function shown below.

Mathematics
1 answer:
Andreas93 [3]3 years ago
7 0

Answer:

  • Minimum 100 bicycles
  • Minimum cost is 13500

Step-by-step explanation:

<u>Given function:</u>

  • C(x) = 3x^2- 600x + 43500

a.

Minimum cost is obtained at vertex.

Vertex is determined by formula x = -b/2a, in standard form of

f(x) = ax^2 + bx + c

<u>Vertex of the given function is:</u>

  • x = -(-600)/(2*3) = 100

b.

<u>Cost at vertex is:</u>

  • C(100) = 3*100^2 - 600*100 + 43500 = 13500
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Answer:

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Step-by-step explanation:

The surface area of a regular pyramid is equal to:

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In your drawing s = 15cm and the base has four equal lengths of 16cm

So first find the area of the base.  Since this is a square, the area is just the

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(p) is the perimeter of the base.  Find this by adding all four side of the bottom square together which is 16cm + 16cm + 16cm + 16cm  or  4 x 16cm which is 64cm.

You already were given (s) which is the height of the slanted side from the base to the pointed top.  The drawing gives you this as 15cm.

So plugging all this into the formula, you get:

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Step-by-step explanation:

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