Final review 1

Oneounceofricecontains400

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Unformatted text preview: 4y = 10 12x - 6y = - 15 3 14) Solve by using a matrix: x 1 - 3 x 2 - 3 x 3 = 13 x 2 - 4 x 3 = 5 x 1 + x 3 = - 4 15) Solve by any method : 4x - 2y + 6z = 1 3x + 4y + 2z = 1 2x - y + 3z = 2 16) Solve by any method: show the initial matrix and final solution 3x + 6y - 9z = 15 2x + 4y - 6z = 10 - 2x - 3y + 4z = - 6 17) A hospital dietitian wants to insure that a certain meal consisting of rice, broccoli, and fish contains exactly 26,800 units of vitamin A, 840 units of vitamin E, and 11,160 units of vitamin C. One ounce of rice contains 400 units of vitamin A, 20 units of vitamin E, and 180 units of vitamin C. One ounce of broccoli contains 800 units of vitamin A, 60 units of vitamin E, and 540 units of vitamin C. One ounce of fish contains 2,400 units of vitamin A, 40 units of vitamin E, and 810 units of vitamin C. How many ounces of each food should this meal include? Set up a system of linear equations, and solve. 4 18) A trucking firm wants to purchase 10 trucks that will provide exactly 28 tons of additional shipping capacity. A model A truck holds 2 tons, a model B truck holds 3 tons, and a model C truck holds 5 tons. How many trucks of each model should the company purchase to provide the additional shipping capacity? Set up a system of linear equations, and solve. Use the given encoding matrix A to solve the problem. 19) The following message was encoded with matrix 1 1 . Decode this message. 23 28 64 32 91 30 65 24 60 38 99 42 99 35 82 36 81 46 119 13 31 23 51 5 20) A steel company produces two types of machine parts, part A and part B. Part A requires 8 hours of casting time and 2 hours of firing time. Part B requires 4 hours of casting time and 6 hours of firing time. The m...
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