Problem 3 (10 Points) (-2/error)

Do not solve these problemsformulate/define them only.

XYZ Manufacturing Company operates five plants in A, O, OM, TH, and in T. The company ships products from it plants to its distribution centers (DCs): DC 1, DC 2, & DC 3. You are given the data below regarding plant capacities, annual fixed costs for the plants (incurred if and only if the plant is used and ships greater than 0 units), manufacturing cost per unit + shipping cost per unit, and demand at each DC.

Note: The CEO has mandated that the TH plant MUST be used. You will need to add a constraint for this mandate and to show your additional work. Formulate a model to determine which plants to use to minimize total cost.

Plant	Annual Fixed Cost	DC 1	DC 2	DC 3	Plant Capacity
A	$1,500,000	$8.75	$9.60	$8.30	49,000
O	$1,320,000	$8.20	$7.10	$8.05	21,000
OM	$1,680,000	$7.30	$6.20	$7.55	28,000
TH	$1,480,000	$6.10	$8.45	$5.22	44,000
T	$900,000	$8.92	$8.34	$9.25	26,000
	DC Demand=	38,500	36,500	37,900

Formulate the model using the headings listed below:

Decision Variables:

Objective Function:

Constraints:

Additional Work for Constraints: