Question: Solved it step by step please, there is nothing missing . the assignment question is like that which i posted here, so please don't ask

Solved it step by step please, there is nothing missing . the assignment question is like that which i posted here, so please don't ask for an update.. and yes please solve it properly

Automobile Alliance, a large automobile manufacturing company, organizes the vehicles it manufactures into three families: a family of trucks, a family of small cars, and a family of midsized and luxury cars. One plant outside Detroit, Michigan, assembles two models from the family of midsized and luxury cars. The first model, the Family Adventure, is a four-door sedan with vinyl seats, plastic interior, standard features, and excellent gas mileage. It is marketed as a smart buy for middle-class families with tight budgets, and each Family Adventure sold generates a modest profit of [i.] for the company. The second model, the Leisure Cruiser, is a two-door luxury sedan with leather seats, wooden interior, custom features, and navigational capabilities. It is marketed as a privilege of affluence for upper-middle-class families, and each Leisure Cruiser sold generates a healthy profit of [ii.] for the company. Rachel Rosencrantz, the manager of the assembly plant, is currently deciding the production schedule for the next month. Specifically, she must decide how many Family Adventures and how many Leisure Cruisers to assemble in the plant to maximize profit for the company. She knows that the plant possesses a capacity of [iii.] labour-hours during the month. She also knows that it takes [iv.] labour-hours to assemble one Family Adventure and [v.] labour-hours to assemble one Leisure Cruiser. Because the plant is simply an assembly plant, the parts required to assemble the two models are not produced at the plant. Instead, they are shipped from other plants around the Michigan area to the assembly plant. For example, tires, steering wheels, windows, seats, and doors all arrive from various supplier plants. For the next month, Rachel knows that she will only be able to obtain [vi.] doors from the door supplier. A recent labour strike forced the shutdown of that particular supplier plant for several days, and that plant will not be able to meet its production schedule for the next month. Both the Family Adventure and the Leisure Cruiser use the same door parts, with [vii.] needed for the Family Adventure and [viii.] for the Leisure Cruiser. In addition, a recent company forecast of the monthly demands for different automobile models suggests that the demand for the Leisure Cruiser is limited to [ix.] cars. [x.]

a. Formulate and solve a linear programming model to determine the number of Family Adventures and the number of Leisure Cruisers that should be assembled, using both graphical method and Solver. Before she makes her final production decisions, Rachel plans to explore the following questions independently, except where otherwise indicated.

b. The marketing department knows that it can pursue a targeted $500,000 advertising campaign that will raise the demand for the Leisure Cruiser next month by 20 percent. Should the campaign be undertaken?

c. Rachel knows that she can increase next month's plant capacity by using overtime labour. She can increase the plant's labour-hour capacity by 25 percent. With the new assembly plant capacity, how many Family Adventures and how many Leisure Cruisers should be assembled?

d. Rachel knows that overtime labour does not come without an extra cost. What is the maximum amount she should be willing to pay for all overtime labour beyond the cost of this labour at regular-time rates? Express your answer as a lump sum.

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