## Mixed exercise: combining 4 solns of expensive chemical

Complex numbers, rational functions, logarithms, sequences and series, matrix operations, etc.
den99
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### Mixed exercise: combining 4 solns of expensive chemical

Anybody can help me with this ?

A chemist has four solutions of a very rare and expensive chemical that are 15% acid (cost \$120 per ounce), 20% acid (cost \$180 per ounce), 35% acid (cost \$280 per ounce) and 45% acid (cost \$359 per ounce). She requires 200 oz of a 29% acid solution. Find the combination of any two of these concentrations that will minimize the total cost of the mix.

little_dragon
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Joined: Mon Dec 08, 2008 5:18 pm
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### Re: Mixed exercise: combining 4 solns of expensive chemical

Anybody can help me with this ?

A chemist has four solutions of a very rare and expensive chemical that are 15% acid (cost \$120 per ounce), 20% acid (cost \$180 per ounce), 35% acid (cost \$280 per ounce) and 45% acid (cost \$359 per ounce). She requires 200 oz of a 29% acid solution. Find the combination of any two of these concentrations that will minimize the total cost of the mix.
U can see how 2 to this here: http://www.purplemath.com/modules/mixture.htm
do how they show
use pairs that make sense (45% & 35% wont mix to 29%, but 20% & 35% can)
find \$\$ for pairs
pick pair that costs less