definite integral net change problem

I'm really struggling with this problem.A retailerreceives shipment of 12,000 lbs of beans to be used at constantrate of 300 lbs/wk.If the costfor storage is $.002/lb/week,how much will the storage costs be over the next 40 weeks? Please show all work .I know manually the each week I subtract another 300 from theremaining balance from the original 12000 beans, then multiply bythe cost rate $.002 and sum these for40 weeks to get a totalstorage cost answer of $480.But how can I set this up with calculus and use the net changeapproach to solve.Thanks!


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