A company consists of three plants (which can supply 500 units each), three warehouses (the maximum capacity of the warehouse is to hold 600 units) and four customers D1, D2, D3 and D4 with demands 300, 250, 150 and 200 respectively. . The following table shows the shipping costs per unit (in dollars) from each plant to each warehouse, the shipping costs per unit (in dollars) from each warehouse to each customer, and the fixed cost to operate plants and warehouses.

Table 1 Plant to Warehouse

Plant location	Deposit
	A	B	C
X	$4	$9	$8
Y	$8	$5	$10
z	$6	$3	$12

Table 2. Warehouse to Customer

Deposit	Client
	re 1	re 2	re 3	D 4
A	$6	$4	$9	$8
B	$7	$11	$5	$11
C	$4	$5	$3	$4
Demand (units)	300	250	150	200

Table 3 Fixed costs of plants and warehouses

Fixed costs (FC)
Planta	FC	Deposit	FC
X	$5,000	A	$4,000
Y	$6,000	B	$3,000
z	$4,000	C	$3,000

Formulate this problem as a linear programming problem, completely defining its decision variables and then giving the objective function and constraints. 

1. Solve using Excel and provide a solution containing decision variables and objective function