Algebra

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Maximizing Profit in a Feasible Region

ALGEBR-P52NLG

At a concession stand, the vendor always has at most $500$ drinks and $300$ hot dogs to sell. The vendor always sells 600 or less total items at a game.

If the vendor makes 4 dollars profit for each hot dog and 3 dollars profit for each drink, which combination of hot dogs and drinks maximizes the vendor's profit?

A

500 drinks only

B

300 hot dogs only

C

300 hot dogs and 300 drinks

D

100 hot dogs and 500 drinks