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Story problem: A lab dept uses mice & rats for experiments. They have cages for 300 animals. Each mouse is $1 and each rat $2. The dept. has $400 to spend. Each mouse can be used for 73 experiments and each rat for 111.

A) Determine the combination or mice and rats that allow the dept. to do the maximum number of experiments.

B) List all of the vertices of the region bounded by the inequalities. (A graph isn’t necessary, but all vertices must be listed)

C) Use the objective function and test all of the vertices from part B and determine the combination of mice and rats that allows the dept. to do the maximum number of experiments.