Question: Potato-Potato Cycles manufactures and sells motorcycles in a variety of engines and configurations. The company has recently launched two new models: R50 and R100. The suggested retail price is $21,000 for R50 and $36,000 for R100. Note that because construction of cycles is continuous, portions of bikes can be constructed each month (solution not limited to integers). It takes 9 labour-hours to assemble each R50 plus 0.7 hours in the packaging department for the R50 model. Each R100 model requires 10 hours of assembly and 2.3 hours in packaging. For the next month, the plant manager can dedicate up to 1000 labour-hours for assembly and up to 190 labour-hours for packaging. The hourly labour costs are $40 per hour for assembly time and $20 per hour for packaging. The costs for the parts used for assembly are $5,700 for the R50 and $6,950 for the R100 model. The number of already committed and anticipated orders far exceeds management's forecast for both models. Management has met with the marketing department and they have decided that at least 35% of the total production must be allocated to the R100 models. Furthermore, they have decided that at least 22 of the R100 models must be fabricated in their first production month

A)Formulate the problem into "proper LP format" to determine the number of units of each model to make in the first production month in order to maximize the total contribution to profit. Solve using graphical methods ONLY as shown in class using ONLY Isoprofit lines (do not solve by evaluating all the extreme corners of the feasible area). Make sure to plot the R50 models along the horizontal axis of your graph paper. Clearly identify on your graph the feasible area, the isoprofit line and your optimal point or marks will be lost! Clearly state the optimal solution in terms of the business problem including the value of the objective function

B) Using your answer in part a) solve algebraically for the constraints involved in the optimal solution and state the final answer in the context of the business problem. I suggest you use the method of finding the intersecting point by solving one equation for x1, then substituting this into the other equation which you can now solve precisely for x2. The website https://www.symbolab.com/solver/system-of-equations-calculator provides a convenient tool for performing the messy algebra required

Need help getting unstuck from Part A &B. Thanks