Zippy motorcycle manufacturing produces two popular pocket bikes (miniature motorcycles with 49cc engines): the Razor and the Zoomer. In the coming week, the manufacturer wants to produce up to 700 bikes and wants to ensure the number of Razors produced does not exceed the number of Zoomers by more than 300 . Each Razor produced and sold results in a profit of $70 while each Zoomer results in a profit of $40. The bikes are identical mechanically and only differ in the appearance of the polymer hased trim around the fuel tank and seat. Each Razor's trim requires 2 pounds of polymer and 3 hours of production time while each Zoomer requires 1 pound of polymer and 4 hours of production time. Assume that 9,700 pounds of polymer and 2,400 labor hours are available for production of these items in the coming week. Problem 2 (14 points) Consider the following linear programming problem: Maximize6x+5ySubjecttox+y62x+y8y5x,y0(OBJ)=(1)=(2)=(3) What is the optimal solution to this problem? What is the optimal value of the objective function? Solve this model by using graphical analysis based on the Corner Point Solution Method. Answer questions below. 2.4. Determine the optimal solution (i.e. the values of x and y ) using corner points method. Why your solution is optimal? ( 2 points) 2.5 Compute the value of the objective function at the optimal solution. (2 points) 2.6. Identify the binding and non-binding constraint(s). Explain why? (2 points) 2.7 Is coordinate (4,2) feasible solution? Explain Why? The solution without any explanation will not be accepted (1 point) Show the graph with the optimal point. Make the conclusion