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Produce an example of a system of equations to your fellow students and allow them to respond on which method (graphing, substitution, elimination, matrices) they would choose for solving your systems of equations. Be sure to reply to students' responses on their preferred method on the pros and cons you suggest for solving your particular example.

The company you have chosen to handle the transaction has estimated the average number of potential new customers reached per spot announcement to be 1,500 for radio and 500 for newspaper. The price for each spot announcement is \$500 for radio and \$200 for newspaper as long as the minimum guaranteed number is exceeded. The customer wants a total of 45,000 potential customers reached for which they will pay \$16,000. Find the proper number of spot announcements to fit the customer's request of potential customers reached and fee charged.

Permutations and Combinations have many real-world applications such as determining the number of ways of being dealt a particular poker hand from a deck of cards at your weekend poker game; or creating the batting order for the baseball team that you manage. Other areas that permutations and combinations are applicable in the real world are determining the number of defective items in a manufacturing plant. For example, as a quality control manager, you are interested in determining how many defected iPhones may be selected from a good batch. Give an example of a permutation or combination for your fellow students to work. Be sure to go back and reply to their responses on their techniques of solving your example. Be sure to explain the differences on why they would want to use permutations versus combinations or vice versa.

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