Boots Ltd. manufactures a range of five similar products, A, B, C, D and E. the table below shows the quantity of each of the required inputs necessary to produce one unit of each product, together with the weekly inputs available and selling prices of each product.

Inputs	A	B	C	D	E	Weekly inputs available.
Raw materials (Kg)	6.0	6.5	6.1	6.1	6.4	35,000 Kgs
Forming (hours)	1.00	0.75	1.25	1.00	1.00	6,000 hours
Firing (hours)	3.00	4.50	6.00	6.00	4.50	30,000 hours
Packing (hours)	0.50	0.50	0.50	0.75	1.00	4,000 hours
Selling price (Sh.)	40	42	44	48	52

The costs of each input is as follows:

Material Sh.2.10 per Kg

Forming Sh.3.00 per hour

Firing Sh.1.30 per hour

Packing Sh.8.00 per hour

Required:

Formulate this problem as a Linear Programming problem. (7 marks