Question: Cost The graph shows the rate of change of cost an orchard in Florida at various production level during grapefruit season. Fill in the blanks in the following cost function discussion. If it is not possible determine a value, write NA in the corresponding blank.

Cost is increasing when between (a) ____ and (b) ____ cartons of grapefruit are harvested each week. The cost to produce 100 cartons grapefruit each week is (c) ____ dollars. The cost is lower than nearby costs at a production lev of (d) _______

cartons, and it is higher than nearby costs at a production level of (e) ____ cartons grapefruit each week. The cost is increasing most rapidly when (f) ____ cartons are produce each week. The area between the rate-of-change cost function and the production-level axis between production levels of 50 and 150 cartons each weak has units (g) _____ . If \(c^{\prime}(p)\) represents the rate change of cost (in dollars per carton) at a weekly production level of \(p\) cartons of grapefruit, would \(\int_{200}^{250} c^{\prime}(p) d p\) be greater than, less than, or the same value as \(\int_{50}^{100} c^{\prime}(p) d p ?\) (h) __________

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