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Unformatted text preview: Minimize C = 44,000 x + 54,000 y Subject to 60 x + 40 y ≥ 240 96 x + 160 y ≥ 672 x ≥ , y ≥ 7 Example 3: Solve the following linear programming problem Minimize P = 2 x + 2 y Subject to 2 x + 3 y ≤ 30 yx ≤ 5 x + y ≥ 5 x ≤ 10 x ≥ , y ≥ 8 Example 4: You manage an ice cream factory that makes two ﬂavors: Vanilla and Mocha. Each quart of Vanilla requires 2 eggs and 3 cups of cream. Each quart of Mocha requires 1 egg and 3 cups of cream. You have in stock 500 eggs and 900 cups of cream. You make a proﬁt of $3 on each quart of Vanilla and $4 on each quart of Mocha. a) How many quarts of each ﬂavor should you make in order to earn the largest proﬁt? b) Are there any leftover resources? Be speciﬁc. • Keep the following in mind: Section 3.3 Highly Suggested Homework Problems: 3, 5, 15, 23, 25, 29, 31, 35, 39, 43 9...
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 Fall '08
 JillZarestky
 Equations, Optimization, linear programming problem, corner points, ice cream factory, possible corner points

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