Question 88678: After taking a math class a little too seriously Kelli decides that her happiness is a function of the number of books she buys and the number of movies she sees per month. In fact she decides that her happiness quotient is: H = M(B^2) where M is movies and B is books. She can buy books for $9 each on average and can get into movies for $6 if she goes to the matinee. So if she sees 3 movies and buys 2 books her happiness quotient is
H = 3(2^2) = 12. If she has $100 to spend, what’s the highest she can make her happiness quotient?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! After taking a math class a little too seriously Kelli decides that her happiness is a function of the number of books she buys and the number of movies she sees per month. In fact she decides that her happiness quotient is: H = M(B^2) where M is movies and B is books. She can buy books for $9 each on average and can get into movies for $6 if she goes to the matinee. So if she sees 3 movies and buys 2 books her happiness quotient is
H = 3(2^2) = 12.
If she has $100 to spend, what’s the highest she can make her happiness quotient?
---------------------
H = M(B^2)
Value EQUATION:
9b+6m = 100
-------
Solve for m and b
Multiples of 9 are 9,18,27,36,45,54,63,72,81,90
Multiples of 6 ore 6,12,18,24,30,36,42,48,54,60,66,72,78,84,90,96
Find one from each set that approximates 100.
Also notice that the quotient has a B^2 factor so the higher the B
the higher the H.
9*10+1*9 = 100
B=10 and M=1
--------
So, H = 1*10^2 = 100
============================
Cheers,
Stan H.
|
|
|
