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Valentin [98]
3 years ago
7

A tree casts a shadow x = 100 ft long when a vertical rod 6.0 ft high casts a shadow 4.0 ft long. (See the illustration.) How ta

ll is the tree? (Round your answer using the rules for working with measurements.)
Mathematics
1 answer:
rewona [7]3 years ago
8 0
I'm not really sure If I would be much help but I'll try best k? (cries a little) So you do 100
          + 6.0 
          + 4.0
_________________
          11 .0 

So your answer is 11.0 for the tall tree.

                       
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When no more than 110 units are produced, the cost of producing y units is given by C(x).
Maslowich

Producing 73.8 units gives the lowest possible average cost.

The average cost (AC) is the ratio of the total cost to the number of units produced. It is given by:

AC = C(x) / x

AC = (0.2x³ – 24x² + 1514x +30064) / x

AC = 0.2x² - 24x + 1514 + 30064/x

The lowest possible average cost is at AC' = 0. Hence differentiating the average cost, gives:

AC' = 0.4x - 24 - 30064/x²

0.4x - 24 - 30064/x² = 0

0.4x³ - 24x² - 30064 = 0

Solving the cubic polynomial gives:

x = 73.8 units

Therefore the lowest possible average cost is when 73.8 units are produced.

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Step-by-step explanation:

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