X10 123Moves x UZ Course: Bus x Pearson O Topic: Week: X e Advanced M ???? M148-
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X10 123Moves x UZ Course: Bus x Pearson O Topic: Week: X e Advanced M ???? M148-Sectic ?? e The Price 0f/X US Postal Hir Logon > c secure https://www.webassign.net/web/Student/Assignment-Responses/submit?dep-18854761#07 Korea seine drink O Really Simple Vanill Owmx w Financial Aid?123Movies-watch ?US Postal Hiring D https://salealiexpre x washington DOLPr Need Help? 10. 3.32/8.33 points1 Previous Answers 7 11.3.077 My Notes t2 dollars per sound The monthly sales of Sunny Electronics' new sound system are given by q t = 6,000t-70 units per month, t months after itsintroduction. The price sunny charges is p t) system, t months after introduction. Find the rate of change of monthly sales. HINT [See Example 4(a). 3,000 q'(t) = | _ 140t + 6000 | Find the rate of change of the price. Find the rate of change of monthly revenue 5 months after the introduction of the sound system. per month Interpret your answer when t ? , the revenue is increasing at a rate of $ per month. Need Help? Read It Submit Answer Save Proess Pracice Another Version 11. 4.17/8.33 points I Previous Answers WaneFMACT 11.3.079 My The price of crude oil during the period 2000-2010 can be approximated by P(t)-6t 18 dollars per barrel (0sts 10) in year t, where t = 0 represents 2000. Saudi Arabia's crude oil production over the same period can be approximated by O(t)--0.0362+0.62t 8 million barrels per day (0t 10). tExplanation / Answer
revenue = sales * price
=>R(t) =q(t) p(t)
rate of change of revenue =R'(t)
=>rate of change of revenue =q'(t)p(t)+q(t)p'(t)
=>rate of change of revenue =(-140t+6000)(3000-t2) +(6000t-70t2)(-2t)
after 5 months
=>rate of change of revenue =(-140*5 +6000)(3000-52) +(6000*5 -70*52)(-2*5)
=>rate of change of revenue =(-700 +6000)(3000-25) +(30000 -1750)(-10)
=>rate of change of revenue =(5300)(2975) +(28250)(-10)
=>rate of change of revenue =15767500-282500
=>rate of change of revenue =$ 15485000 per month
when t=5 ,the revenue is increasing at a rate of $ 15485000 per month
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