Mathematics Question
MAT 211 – QUIZ #1 Fish’s Fun Factory (𝐹 3 ) produces board games, Fishtopia and Underwater Adventures. Both games use two of the same components: Fish meeples and treasure chests. Each copy of Fishtopia needs 5 Fish meeples and 10 treasure chests. Each copy of Underwater Adventures needs 6 Fish meeples and 4 treasure chests. 𝐹 3 currently has 300 Fish meeples and 400 treasure chests in stock. Let x and y represent the # of copies of Fishtopia and Underwater Adventures produced, respectively. 1. If the current component inventory is not exceeded, what are all possible production levels for the two games? Create the necessary inequality constraints for meeples and treasure chests. Then, along with the inequalities 𝑥 ≥ 0 and 𝑦 ≥ 0, sketch the boundaries and shade the Solution Set on the accompanying graph. (In your work, you must demonstrate the algebraic work necessary to find the corner point created by the intersection of the meeple constraint with the treasure chest constraint. 2. If each copy of Fishtopia retails for $20 and each copy of Underwater Adventures retails for $30, how many copies of each should be produced with the current component stock to maximize Revenue? 3. If each copy of Fishtopia retails for $30 and each copy of Underwater Adventures retails for $20, how many copies of each should be produced with the current component stock to maximize Revenue?
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