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Answer :
Final answer:
To incur minimum cost, 1000 trucks should be produced.
Explanation:
To find the number of trucks that should be produced to incur minimum cost, we need to determine the minimum point of the cost function C(x) = 10000 - 80x + 0.2x².
The minimum point of a quadratic function can be found using the formula x = -b/(2a), where a and b are the coefficients of x² and x, respectively.
In this case, a = 0.2 and b = -80. Plugging these values into the formula, we get:
x = -(-80)/(2(0.2)) = 400/0.4 = 1000.
Therefore, the minimum cost would be incurred when 1000 trucks are produced.
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