SOLUTION: I tried to solve this and I have had problems. I have got 3 equations so far. There is one more needed. f >=0 r >=0 f>2r A toy manufacturer is introducing two new dolls, M

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Question 107432This question is from textbook Algebra 3
: I tried to solve this and I have had problems.
I have got 3 equations so far. There is one more needed.
f >=0
r >=0
f>2r
A toy manufacturer is introducing two new dolls, My First Baby and My Real Baby. In one hour, the company produces at least twice as many First Babies as Real Babies. The company spends no more than 48 hours a week making these dolls. The profit on each First Baby is $3.00 and the profit on each Real Baby is $7.50. Find the number an type of dolls that should be produced to maximize profit.
I can do the last part of finding the maximum profit but I need a 4th equation which I have problems translating from text. If you could help my thanks go to you. I appreciate your effort even if you do not answer this question.
This question is from textbook Algebra 3

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
I tried to solve this and I have had problems.
I have got 3 equations so far. There is one more needed.
f >=0
r >=0
f>2r
A toy manufacturer is introducing two new dolls, My First Baby and My Real Baby. In one hour, the company produces at least twice as many First Babies as Real Babies. The company spends no more than 48 hours a week making these dolls. The profit on each First Baby is $3.00 and the profit on each Real Baby is $7.50. Find the number an type of dolls that should be produced to maximize profit.
----------------------
If in an hour 2 first Babies are produced for 1 Real Baby, the
time to produce one first baby is 1/2 hr.; the time for a Real
Baby is 1 hr
So, if f is the number of first babies and r is the # of real,
(1/2)f+r <= 48
------------------
Also I think you should have f>=2r, not just f>2r
=========================
Cheers,
Stan H.

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