Jack’s Small Enterprises runs two factories in Ohio: one in Toledo and one in Centerville. Its factories produce a variety of products. Two of its product lines are polished wood clocks, which are adorned with a regional theme. Naturally, clocks popular in the southwest are not as popular in the northeast, and vice versa. Each plant makes both clocks. These clocks are shipped to St Louis for distribution to the southeast and western states and to Pittsburgh for distribution to the south and northeast states.

The company is considering streamlining its plants by removing certain production lines from certain plants. The company could potentially eliminate the clock production line at either the Toledo or the Centerville plant. Each plant carries a fixed operating cost for setting up the line and a unit production cost, both in terms of money and factory worker hours. The following table summarizes this information:

		Production Cost		Clocks Produced
		per Clock		per Hour		Available
Plant	Fixed Cost for	Southwest	Northeast	Southwest	Northwest	Hours per
	Line	Clock	Clock	Clock	Clock	Month
Toledo	$20,000	$10	$12	5	6	500
Centerville	$24,000	$9	$13	5.5	6.2	675

The southwest clocks are sold for $23 each, and the northeast clocks are sold for $25 each. Demand rates used for production planning are 1,875 southwest clocks for sale out of the St Louis distribution center and 2,000 northeast clocks for sale out of the Pittsburgh distribution center. Assume all these units are sold. The per-clock transportation costs from plant to distribution center are given in the following table:

	Cost to Ship to Distribution Center
Plant	St Louis	Pittsburgh
Toledo	$2	$4
Centerville	3	2

Develop a generalized network flow model for this problem and implement this model in Solver. Use the model to answer the following questions:

a.	Should any of the production lines be shut down?