(2) (6 points) Formulate (but do not solve) a linear programming model for the following problem: A toy company produces toy planes and toy boats. The company sells its planes for $20 and sells its boats for $15. It costs $8 in raw materials to make a plane and $6 in raw materials to make a boat. A plane requires 3 hours to make and 1 hour to finish while a boat requires 1 hour to make and 2 hours to finish. The toy company knows it will not sell more than 40 planes per week. Further, given the number of workers, the company cannot spend more than 180 hours per week finishing toys and 130 hours per week making toys. How many planes and how many boats should the company produce in order to maximize its profit