SOLUTION: The sum of an integer and three times another integer is 18. Determine the value of the two integers if their product is a maximum. Thanks!
What I have so far:
x + 3y = 18
x
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What I have so far:
x + 3y = 18
x
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Question 312323: The sum of an integer and three times another integer is 18. Determine the value of the two integers if their product is a maximum. Thanks!
What I have so far:
x + 3y = 18
x = 18 - 3y
Product = xy = y (18-3y) Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! The sum of an integer and three times another integer is 18. Determine the value of the two integers if their product is a maximum. Thanks!
What I have so far:
x + 3y = 18
x = 18 - 3y
Product = xy = y (18-3y)
Write it as a quadratic equation
f(y) = -3y^2 + 18y
Find the axis of symmetry using y = -b/(2a), where a=-3, b=18
y =
y =
y = +3
:
Find x
x = 18-3(3)
x = 9
