Make sure to include the following fundamental components of your model when you submit your work. The full LP formulation intended here should include the following, following the examples presented in the book:

The decision variables are defined along with the designated units.

The objective function, along with the units stated and any social, economic, or physical significance.

Each restriction in a mathematical equation or inequality, as well as the corresponding social, economic, or physical significance, are listed, along with the units used.

This LP formulation's solution (you may quote the QM program solution) and its interpretation of decision-making in the context of the original problem, for example, the best course of action is to produce 50 tables and 220 chairs and generate a profit of $2500 overall.

8-10 (High school busing problem) The Arden County, Maryland, superintendent of education is responsible for assigning students to the three high schools in his county. He recognizes the need to bus a certain number of students, for several sectors of the county are beyond walking distance to a school. The superintendent partitions the county into five geographic sectors as he attempts to establish a plan that will minimize the total number of student miles traveled by bus. He also recognizes that if a student happens to live in a certain sector and is assigned to the high school in that sector, there is no need to bus that student because he or she can walk to school. The three schools are located in sectors B, C, and E. The following table reflects the number of high-school-age students living in each sector and the busing distance in miles from each sector to each school: Each high school has a capacity of 900 students. Set up the objective function and constraints of this problem using LP so that the total number of student miles traveled by bus is minimized. Then solve the