Making Ends Meet Newlyweds Nick and Dana each work two part-time jobs in order to make

Chapter 2, Problem 32

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Making Ends Meet Newlyweds Nick and Dana each work two part-time jobs in order to make ends meet as they finish college. Nicks college schedule allows him to work a total of 30 hours per week both for a department store that pays him $9.50 per hour and for a fast food restaurant that pays him $8.50 per hour. Danas college schedule allows her to work a total of 25 hours per week for a grocery store that pays her $10.00 per hour and for a novelty shop that pays her $8.00 per hour. The couple must earn $500 per week in order to eat and pay bills. (a) Write a system of equations that describes Nick and Danas earnings opportunities. Be sure to name all variables. (b) Solve the system by writing its augmented matrix in reduced row echelon form. (c) Prepare a table showing various work options for Nick and Dana. (d) What would you recommend to them?

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