Question

In an effort to reduce its inventory, a warehouse runs a sale on its least popular Blu-ray discs. The sales-rate (discs sold per day) on day $t$ of the sale is predicted to be $40/t$ (for $t \ge 1$), where $t = 1$ corresponds to the beginning of the sale, at which time none of the inventory of 100 discs had been sold. (a) Find a formula for the total number of discs sold up to day $t$. $C(t) = $ (b) Will the store have sold its inventory of 100 discs by day $t = 40$? Yes No 

          In an effort to reduce its inventory, a warehouse runs a sale on its least popular Blu-ray discs. The sales-rate (discs sold per day) on day $t$ of the sale is predicted to be $40/t$ (for $t \ge 1$), where $t = 1$ corresponds to the beginning of the sale, at which time none of the inventory of 100 discs had been sold.
(a) Find a formula for the total number of discs sold up to day $t$.
$C(t) = $
(b) Will the store have sold its inventory of 100 discs by day $t = 40$?
Yes
No
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In an effort to reduce its inventory, a warehouse runs a sale on its least popular Blu-ray discs. The sales-rate (discs sold per day) on day t of the sale is predicted to be 40/t (for t ≥ 1), where t = 1 corresponds to the beginning of the sale, at which time none of the inventory of 100 discs had been sold. (a) Find a formula for the total number of discs sold up to day t. C(t) = (b) Will the store have sold its inventory of 100 discs by day t = 40? Yes No

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Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
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In an effort to reduce its inventory, a warehouse runs a sale on its least popular Blu-ray discs. The sales rate (discs sold per day) on day t of the sale is predicted to be (40)/(t) (for t>=1), where t=1 corresponds to the beginning of the sale, at which time none of the inventory of 100 discs had been sold. (a) Find a formula for the total number of discs sold up to day t. c(t)= (b) Will the store have sold its inventory of 100 discs by day t=40? Yes No Need Help? VYNOTES ASKYOURTEACHER PRACTICEANOTHER In an effort to reduce its inventory, a warehouse runs a sale on its least popular Blu-ray discs. The sales rate (discs sold per day) on day t of the sale is predicted to be 40/t for t>=1, where t=1 corresponds to the beginning of the sale, at which time none of the inventory of 100 discs had been sold. (a) Find a formula for the total number of discs sold up to day t Ct= (b) Will the store have sold its inventory of 100 discs by day t=40? Yes No Need Help? Submit Answer
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Transcript

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00:01 In the question we have given that the function s of t is equals to 350 times t square over t squared plus 75.
00:15 Now in the first part of the question we have to find the value of limit t tends to infinity s of t.
00:24 That is, we have to find the value of limit t tends to infinity s of t.
00:25 That is, we have to find the value of limit t tends to infinity.
00:31 350 times t square over t squared plus 75 now we can rewrite it as limit t tends to infinity 350 times t squared over here we will take t square outside so inside the bracket we have 1 plus 75 over t square now we will cancel out the similar term from numerator and denominator we get limit t tends to infinity 350 over 1 plus 75 over t squared now by applying the limit we have the value is 350 over 1 plus 0 that is 350 therefore the required answer for the limit t tends to infinity s of t is 350 which is a required answer for the first part of event question...
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