Algorithms Answers

1. The Fibonacci numbers are the numbers in the following integer sequence.

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, ……..

• Factorial of a non-negative integer, is multiplication of all integers smaller than or equal to n.

Write the Python program code for the above two algorithms and critically evaluate their efficiencies using Big-O notation.

Algorithm for an application for a Pizza delivery company. The application must provide a place for the user to enter their contact information (address, cell, telephone, e-mail) and some of the contact information should be displayed when the order is placed. Your application should have a picture logo and company name. Provide selections such as small, medium and large for pizza (Vegetarian, Hawaiian, Something Meaty.

Algorithm for a program that calculates the take home pay of an employee. The two employees are salaried and hourly. Allow the user to input employee type. If an employee is salaried, allow the user to input the salary amount. If an employee is hourly, allow the user to input the hourly rate and the number of hours clocked for the week. For hourly employees, overtime is paid for hours over 40 at a rate of 1.5 of the base rate. For all employees’ take-home pay federal tax of 18% is deducted. A retirement contribution of 10% and a social security tax rate of 6% should be deducted. Use appropriate constants. Design an object oriented solution. 

Algorithm for a solution that prints the amount of profit an organisation receives based on its sales. The more sales documented, the larger the profit ratio. Allow the user to input the total sales figure for the organisation. Compute the profit based on the following table. Display the sales and profit formatted with commas, decimals, and a rand symbol. Display the profit ratio formatted with a percent symbol. 0 – R1000: 3.0% / R1000.01 – R5000: 3.5% / R5000.01 – R10000: 4.0% / over R10000: 4.5%

Algorithm for a program to allow multiple sets of scores to be averaged. Valid entries must be numeric and in the range of 0 to 100. Calculate the average of the scores entered. Allow any number of scores to be entered per data set but assume that there will be at least one score entered. Use a sentinel-controlled loop variable to terminate the loop. After values are entered and average is calculated, test the average to determine whether an A, B, C, D or F should be recorded. The scoring rubric is as follows: A: 90 to 100; B80 to 89; C 70 to 79; D 60 to 69 and F <60.

Algorithm for a solution that prints the amount of profit an organisation receives based on its sales. The more sales documented, the larger the profit ratio. Allow the user to input the total sales figure for the organisation. Compute the profit based on the following table. Display the sales and profit formatted with commas, decimals, and a rand symbol. Display the profit ratio formatted with a percent symbol. 0 – R1000: 3.0% / R1000.01 – R5000: 3.5% / R5000.01 – R10000: 4.0% / over R10000: 4.5%

write an algorithm to find average price of mangoes purchased by hari ram from a buyer 1 at rupees per kg with 5% discount and from buyer 2 at rupees 100 per kg with 5% discount.he purchased 10 kg from buyer 1 and 20 kg from buyer 2. also find the the total discounted amount.