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2 March, 19:01

The following function represents the production cost f (x), in dollars, for x number of units produced by company 1:

f (x) = 0.25x2 - 8x + 600

The following table represents the production cost g (x), in dollars, for x number of units produced by company 2:

x g (x)

6 862.2

8 856.8

10 855

12 856.8

14 862.2

Based on the given information, the minimum production cost for company : blank:is greater.

[Put 1 or 2 in the blank space]

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  1. 2 March, 19:26
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    Company 1: f (x) = 0.25x² - 8x + 600

    f (6) = 0.25 (6²) - 8 (6) + 600 = 9 - 48 + 600 = 561

    f (8) = 0.25 (8²) - 8 (8) + 600 = 16 - 64 + 600 = 552

    f (10) = 0.25 (10²) - 8 (10) + 600 = 25 - 80 + 600 = 545

    f (12) = 0.25 (12²) - 8 (12) + 600 = 36 - 96 + 600 = 540

    f (14) = 0.25 (14²) - 8 (14) + 600 = 49 - 112 + 600 = 537

    company 2:

    x g (x)

    6 862.2

    8 856.8

    10 855

    12 856.8

    14 862.2

    Based on the given information, the minimum production cost of company 2 is greater than the minimum production cost of company 1.
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