The initial tableau of a linear programming problem is given. Use the simplex method to solve the problem. $1 1 0 0 0 X1 12 1 -2 22211 20100 $3 N 0 0 0 0 0 12 2870 The maximum is when x₁ = x2 = $1=$2=[ (Type integers or simplified fractions.) =, and $3 = - GOXO

Charter Revenue The owner of a luxury motor yacht that sails among the 4000 Greek islands charges $440/person/day if exactly 20 people sign up for the cruise. However, if more than 20 people sign up (up to the maximum capacity of 100) for the cruise, then each fare is reduced by $4 for each additional passenger. Assuming at least 20 people sign up for the cruise, determine how many passengers will result in the maximum revenue for the owner of the yacht. passengers What is the maximum revenue? What would be the fare/passenger in this case? (Round your answer to the nearest dollar.) dollars per passenger

Use the simplex method to solve. The maximum is z = (Simplify your answers.) Maximize z=3x1 +2x2 + 2x3 subject to: x₁ + x2 + 2x3 ≤38 2x1 + x2 + x32 29 X₁ 20, X₂20, X3 20 with when x₁ = x₂ =, and x3 = | I

Social networking and video-sharing sites often include rich media and display advertising placed around user- generated content. Suppose that, for a particular social networking company, the annual revenue R, in millions of dollars, from rich media advertisements for the five years from the beginning of 2015 through the end of 2019 can be approximated by the model $ R(x) = x¹ + 11x³ - 39x² + 45x, where a is the number of years from the beginning of 2015. What was the total revenue for this company in the five-year period? Round to 2 decimal places. million -