2) A marketing department has recently realized that some of their marketing mix has been disproportional. They would like to determine a better mix that would reach more of their target market. To determine the maximized marketing score, they have utilized the following information and policies: a. Each type of marketing post has been given a score on a range of 1-10, with 10 reaching the most variety of stakeholders and 1 equaling reaching the least variety in stakeholders. 4 for A, 7 for B, 6 for C, 8 for D and 5 for E. They would like to have the highest marketing mix score, or reach the most variety of people, given the below constraints. b. Costs per add are as follows: $10 for A. $15 for Band C, $20 for D, and $12 for E; the total budget for the month is $1,000. c. There should be at least 30 posts, with a maximum of 90 posts. d. At least 10% of the posts should be type A. e. There should be at least 5 posts of each type. Write the Linear Program (60 pts)