Solve by Linear Programming: Form: _ For each exercise: It is essential that your graph must explain all the important variables. In other words, the scale of the graph should be selected properly, and all the constraints, the feasible area, all the critical (corner) points should be SOLVED ALGEBRAICALLY and indicated clearly. The line(s) also have to be labeled (colored) clearly. Points will be taken off for sloppiness. USE GRAPH PAPER AND COLORS! Answer the question with a complete sentence explaining the meaning of the solution. Part 1: Use the given information below to complete the table and fully answer in context. MINIMAL WORK REQUIRED! Maximize: P = 15X +25Y use the feasible recion below to maximize : Complete the following table : Points Computation Totals Final answer : Part 2: Two manufacturing plants make the same kind of bicycle. The hours required to make one bicycle in each factory for: general labor, machine time, and technical labor are given below. For the two plants combined, the manufacturer can afford to use up to 4000 hours of general labor, up to 1500 hours of machine time, and up to 2300 hours of technical labor per week. Plan A earns a profit of $60 per bicycle and Plan B earns $50 per bicycle. How any bicycles per week should the manufacturer make in each plant to maximize profit? RESOURCES HRS. IN A PER BIKE HRS. IN B PER BIKE General Labor 10 Machine Time Technical Labor 5 2