Solve the linear programming problem using the simplex method. maximize zequals=2 x plus 9 y2x+9y subject to the following constraints. left brace start 3 by 1 matrix 1st row 1st column 5 x plus y less than or equals 60 2nd row 1st column 9 x plus 2 y less than or equals 80 3rd row 1st column x greater than or equals 0 comma y greater than or equals 0 endmatrix

Need to finish my juan wants to build a greenhouse in his back yard. he needs to maximize the ratio of floor area to structure volume in order to provide the most room for plants while minimizing the area to be heated. find the description of the structure that best meets juan’s criteria. a.) a hemisphere with a diameter of 12 feet b.) a cube with a side length of 12 feet c.) a cone with a diameter of 12 feet and a height of 10 feet d.) a square pyramid with a base side length of 12 feet and a height of 9 feet