So using a(2)=0 we can first solve for k by substituting t for 2
0 = (2-k)(2-3)(2-6)(2+3)
0 = (2-k)(-1)(-4)(5)
0 = (2-k)20
0 = 40 - 20k
-40 = -20k
k = 2
The next step would be to find all the 0s of a.
0 = (t-2)(t-3)(t-6)(t+3)
T = 2,3,6,-3
Then we find the product
2x3x6x-3 = -108
Since the problem asks for the absolute value, the answer is positive 108
If the long-run average total cost curve of an industry is declining at the point where it intersects the industry demand curve, then we can expect that the industry will be a natural monopoly.
<h3>
What is Natural monopoly?</h3>
This is characterized by high infrastructural costs and other barriers which prevent entry into the market. This gives rise to a very few being involved and usually offers no competition as there is a single seller with unique types of goods and services.
This type of monopoly involves sellers having a big size and able to produce the required output for the consumers. This makes them to be self-sufficient and is characterized by the long-run average total cost curve of an industry declining and intersecting the industry demand curve which is the reason why it was chosen as the most appropriate choice.
Read more about Natural monopoly here brainly.com/question/3334233
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