Mathematics, 15.01.2020 01:31 fireman59937
Average inventory the demarco pasta company receives 600 cases of imported san marzano tomato sauce every 30 days. the number of cases of sauce on inventory t days after the shipment arrives is
n(t)=600-20√30t
find the average daily inventory.
Answers: 2
![\dfrac{1}{b-a}\int\limits^a_b {600-20\sqrt{30t}} \, dt\\\\=\dfrac{1}{30}\int\limits^{30}_0 {600-20\sqrt{30t}} \, dt \\\\=\dfrac{1}{30}[600t-\dfrac{20(30t)^\frac{3}{2}}{45}|_0^{30}\\\\=\dfrac{1}{30}[18000-\dfrac{20\times 30^3}{45}]\\\\=\dfrac{1}{30}[18000-12000]\\\\=200](/tpl/images/0455/2935/23d5a.png)
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