Explain your decision variables show your constraints use solver You oversee producing and distributing mouse pads to three distribution centers for the next three months. You have two production centers (A and B) and three distribution centers (1, 2 and 3). The transportation cost per mouse pad is given in the table below.
	1	2	3
A	$5	$6	$3
B	$4	$3	$8
The demand for mouse pads from the three distribution centers for the next three months is given below
	Month
Center	1	2	3
1	400	500	300
2	200	500	400
3	300	400	600
Total	900	1400	1300
Production centers A and B have a capacity of making 500 and 1000 mouse pads every month respectively. To avoid hiring and firing people both the production center together want to produce at least 500 mouse pads every month. (A and B together should produce at least 500 mouse pads every month).
Cost of producing one mouse pad is $0.1 in production center A and $0.2 in production center B. The storage costs in production center A is $0.01 per mouse pad stored at the end of the month (Ending inventory) and it is $0.02 per mouse pad stored at the end of a month (Ending Inventory) in production center B. Both A and B have zero beginning inventory.
Formulate as LP, setup. Use Integer Variables for Mouse pads. Please clearly specify your decision variables and define them properly (Hint O.F.V ~13,100)