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AnnyKZ [126]
4 years ago
6

The cost, in millions of dollars, for a company to manufacture x thousand speed boats is given by the function C(x) = 3x2 - 30x

+ 175. Find the number of speedboats that must be produced to minimize the cost.
Mathematics
1 answer:
nalin [4]4 years ago
7 0

Answer:

  5000

Step-by-step explanation:

In vertex form, the cost function is ...

  C(x) = 3(x² -10x) +175 = 3(x² -10x +25) +175 -3(25)

  C(x) = 3(x -5)² +100

The vertex is at x=5, so the cost function will be minimized when 5000 speed boats are produced.

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Answer:

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Step-by-step explanation:

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3 years ago
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jeka57 [31]

Answer:

The correct answer is 15 cm.

Step-by-step explanation:

Let the width of the required poster be a cm.

We need to have a 6 cm margin at the top and a 4 cm margin at the bottom. Thus total margin combining top and bottom is 10 cm.

Similarly total margin combining both the sides is (4+4=) 8 cm.

So the required printing area of the poster is given by {( a-10 ) × ( a - 8) } cm^{2}

This area is equal to 125 cm^{2} as per as the given problem.

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⇒ a^{2} - 18 a -45 = 0

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But a=3 is absurd as a > 4.

Thus the required answer is 15 cm.

7 0
3 years ago
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