2012_FALL_MATH1003.ragarwal.Homework-3 - Math1003 Algebra and Calculus Fall 2011 Homework-3 Due at 11:50pm HKT Name Raghvendra AGARWAL Augmented

2012_FALL_MATH1003.ragarwal.Homework-3 - Math1003 Algebra...

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Math1003 Algebra and Calculus, Fall 2011 Name: Raghvendra AGARWAL Homework-3 : Due 10/25/2012 at 11:50pm HKT Augmented Matrices and Gauss-Jordan Elimination Express systems of linear equations in terms of augmented matrices. Perform row operations to find the reduced form of an augmented matrix. Determine the solution of a system of linear equation by using the reduced form of its augmented matrix. Express the solution of a system of linear equations. Set up and solve systems of linear equations. Matrix Operations and Inverses Perform basic operations on matrices. Find the inverses of matrices, if existing. 1. (2 pts) Kimmie wants to earn money by baking and selling cookies. She works up a business plan and finds her cost and revenue functions whose graphs are shown above in orange and yellow, respectively. a) How many cookies must be produced and sold to break even? Answer: b) What is the dollar amount coming in and going out if Kim- mie just breaks even? Answer: c) Use the formulas to write Kimmie’s profit function, P ( x ) , from producing and selling x cookies. (NOTE: Profit = Revenue - Cost) Answer: d) How much profit will Kimmie earn if she produces and sells 380 cookies? Answer: Correct Answers: 200 cookies 800 P(x) = (4 - 2) * x - 400 360 2. (2 pts) Solve the system x 1 + x 2 = 5 x 2 + x 3 = - 1 x 3 + x 4 = 1 x 1 + x 4 = 7 x 1 x 2 x 3 x 4 = + s .

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