A company finds that its total costs are related to the amount spent on training programs by

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A company finds that its total costs are related to the amount spent on training programs by

where T(x) is costs in thousands of dollars when x hundred dollars are spent on training. Find and interpret T′(x) if the following amounts are spent on training.
(a) $900
(b) $1900
(c) Are costs per dollar spent on training always increasing or decreasing?

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