15. O -1 points LarCalc9 3.7.007 My Notes Ask Your Find two positive numbers sat

Question

15. O -1 points LarCalc9 3.7.007 My Notes Ask Your Find two positive numbers satisfying the given requirements. The sum of the first and twice the second is 160 and the product is a maximum. (first number) (second number) 16. - points LarCale9 3,7.020 M My Notes Ask Your On a given day, the flow rate F (in cars per hour) on a congested roadway is given by the equation below, where v is the speed of traffic in miles per hour 24 +0.07. What speed will maximize the flow rate on the road? (Round your answer to one decimal place.) mi/h Need Help? My Notes Ask Your 17. O -1 points LarCalc9 3.7.033 A rectangular package to be sent by a postal service can have a maximum combined length and girth (perimeter of a cross section) of 120 inches (see figure). Find the dimensions of the package of maximum volume that can be sent. (Assume the cross section is square.)

Explanation / Answer

15. let the numbers be x and y

x +2y= 160

x = 160-2y

product,P = x y = (160-2y)y = 160y -2y2

P ' = 160-4y

P ' = 0

160-4y=0

y = 40

x= 160-2(40) = 80

So the two numbers are 80 and 40.

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