2) A toy company manufactures three types of toy vehicles: racing cars, sport-utility vehicles and trucks. Because the supply of materials is limited, the company can make 50 vehicles, in total, each day. It costs $80 to make a racing car, $12 to make a sport-utility vehicle and $15 to make a truck. The company want to minimize the production cost to $1040. In addition, the company wants the daily use of new plastic to be a maximum of 560g more than the use of recycled plastic. The amounts of new plastic material and recycled plastic used in the production of each toy are given in the table below. To find the number of toys the company should manufacture per day to optimally use their injection-molding machine and the assembly line, it is needed to solve the following set of equations which are derived from information above, x1+x2+x3=5080x1+12x2+15x3=104060x185x2+50x3=560 How many of each toy can be produced according to this information? (30 Points)