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Lab 4 Exercises Note for next time: Read Chapter 1 and 2 (Self_check exercises and all exercises) Pay attention to the Program Style (page 57) all your programs must follow this style. Look at :ctype.h and stdlib.h Exercise1 A salesman receives a commission of 10% on all sales if he had sold at least $10 000 worth of merchandise in a given period, but only 8.5% if his sales are below $10 000. Write an algorithm to show to the salesman how to figure out his commissions. Modify the algorithm to accommodate a list of salesmen along with their sales. Change the algorithm as needed to calculate the commission of all the salesmen (the total of commissions). Exercise2 the problem’s specification is to find out the smallest, largest, range, average, and standard deviation of N numbers. Given: average= sum/N std_dev= sqrt(sum_squares/N – (average**2)) Exercise3 The problem’s objective is to find the greatest common divisor (GCD) of two integers. Exercise4 Crammer rule is a method for solving a system of linear equations. If you have two equations with variables x and y written as ax + by = c dx + ey = f then the solution for x and y can be given as: The notation below refers to the determinant ae -bd 1. Write a complete algorithm that will solve a system of two equations using Cramer’s rule. Input will be all the coefficients. Output will be the solution of the system. 2. Modify the algorithm to be used for other systems (Use Repetition). Exercise5 As a part time job student, you are working for the Family Budget Assistance Center. Your boss has asked to write a program that will analyze data for a family list. Input for each family consist of: Family identification number Number in Family Annual income Total debt Output should include the following The family identification number, number in family, annual income, and total debt Predicted family living expenses ($3000 times the total number of the family) The monthly payment necessary to pay off the debt in one year (Debt/12) The amount the family should save (The family size * 2% of (the income - the debt)) Your service fee (0.5 percent of the income)