• The Nyanam manufacturing company has orders for three similar products

Product	Orders (Units)
A	2000
B	500
C	1200

Three machines are available for the manufacturing operations. All three machines can produce all the products at the same production rate. However due varying defect percentages of each product on each machine, the unit costs of the products vary depending on the machine used. Machine capacities for the next week, and the unit costs are as follows

Machine		Capacity (units)1500
1		1500
2		100
3
Machine	Product
	A	B	C
1	Sh.100	Sh.120	Sh.90
2	Sh.130	Sh.140	Sh.120
3	Sh.110	Sh.100	Sh.120

Required

• Use the transportation model to develop the minimum cost production schedule for the products and machines [10marks]
• Show the linear programming formulation [2marks]