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Microsoft Word – Quiz 91. Solve the system. 5x+7y-4z=13 4x+5y-8z=8 12x+19y=40 Augmented matrix: point: Reduced matrix: Reduced equations and answer2. A company produces three models of stereo speakers, models A, B, and C, and can deliver them by truck, van, or station wagon. A truck holds 2 boxes of model A, 2 of model B and 3 of model C. A van holds 3 boxes of model A, 4 of model B, and 2 of model C. A station wagon holds 3 boxes of model A, 5 of model B, and 1 of model C. If 25 boxes of model A, 33 boxes of model B, and 22 boxes of model C are to be delivered, how many vehicles of each type should be used so that all operate at full capacity?Microsoft Word – Quiz 9let x = _________________ lety= _________________ letz= _________________ (answer those in words)Microsoft Word – Quiz 9equations must include variables, operations and equal signsMicrosoft Word – Quiz 9The question asks us to find how many of each type of _________________. Do your descriptions of the variables match the units for the answers to the question? ______Microsoft Word – Quiz 9Now solve the system and answer the question. (The answer must be a complete thought and include units.)Microsoft Word – Quiz 9Augmented matrix: Reduced matrix: Reduced equations and answer as a point:3. Give the solutions for each of the reduced matrices below. If there are infinitely many solutions, give the general solution and 2 particular solutions.Microsoft Word – Quiz 9a) 1 0 | 5 0 0 | -2Microsoft Word – Quiz 9b) 1 0 | 5 0 1 | -2 c) 1 5 | -2 0 0 | 0d) 1 0 5 | -2 0 1 -3 | 7 0 0 0 | 0e) 1 0 5 | 5 0 1 -3 | -2 0 0 0 | 7f) 1 0 0 | 5 0 1 0 | -2 0 0 1 | 7g) 1 0 0 0 | 5 0 1 0 0 | -2 0 0 1 0 | 7 0 0 0 1 | -34. A company manufactures three items: gizmos, gadgets, and widgets. Each gizmo requires 3 hours of painting, 4 hours of trimming and 1 hour of packaging to produce. Each gadget requires 2 hours of painting, 5 hours of trimming and 2 hours of packaging. Each widget requires 4 hours of painting, 2 hours of trimming, and 3 hours of packaging. The company has available 1441 hours in the painting shop, 1621 hours in the trimming shop, and 998 hours in the packaging shop. How many of each item should they make to use all of the available hours?5. A decorator wants to purchase plants for a new home. She is interested in three types of plants costing $7, $10, and $13 each. If she has budgeted exactly $150 for the plants and wants to purchase exactly 15 of them, what are her options?List or make a chart of ALL options.

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