You manufacture two types of toys: for boys and girls. Each toy goes through 3 processes: grinding, polishing, and packaging. The grinding process requires 4 minutes for toys for boys and 2 minutes for toys for girls. The polishing process requires 2 minutes for toys for boys and 6 minutes for toys for girls. The packaging requires 4 minutes for toys for boys and 6 minutes for toys for girls. You have 28 minutes of grinding time, the polishing time is 30 minutes, and the finishing time available is 36 minutes. You make a profit of $2 on a toy for boys and a profit of $3 on toys for girls. Set up this problem as a linear programming problem. Define the objective in terms of maximization or minimization. Define the decision variables. Define the objective function in terms of decision variables. Write out the constraints in terms of decision variables

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