Question: Production The graph in the figure shows the rate of change of profit at various production levels for a pencil manufacturer. Fill in the blanks in the following discussion of the profit. If it is not possible to determine a value, write NA in the corresponding blank.

Profit is increasing when between (a) ____ and (b)____ boxes of pencils are produced each day. The profit when 500 boxes of pencils are produced each day is (c) dollars. Profit is higher than nearby profits at a production level of (d) _____ boxes each day, and it is lower than nearby profits at a production level of (e) ____ boxes of pencils each day. The profit is decreasing most rapidly when (f) boxes are produced each day. The area between the rate-of-change-of-profit function and the production-level axis between production levels of 100 and 200 boxes each day has units (g) ____. If \(p^{\prime}(b)\) represents the rate of change of profit (in dollars per box) at a daily production level of \(b\) boxes, would \(\int_{300}^{400} p^{\prime}(b) d x\) be more than, less than, or the same value as \(\int_{100}^{200} p^{\prime}(b) d b ?\) (h) _______

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