There is a furniture factory that produces two goods, the chair and the table. The manager wants to maximize the profit and reduce the cost within the limitations, restrictions and available resources. The following table shows all the numbers related to this:

		Consumed quantity
Available Resources		Table T	Chair C
500	machines	40	20
300	wood	10	10
450	working hours	10	20
Profit from selling each unit $		100	50
Operating cost per unit $		150	120

Required: Show the steps for the solution, not just the final answers. 1) Determine the amount of production that generates the greatest possible profit? 2) Determine the value of the greatest profit that can be achieved? 3) Determine the quantity of production that generates the lowest possible cost? 4) Determine the lowest achievable value? 5) Draw the lines that represent the constraints and their coordinates, then mark the points of intersection, and determine the solution area?