Table 1a. Location A Toilet Lotion Spray

Sanitizer

Splitting and Mixing Cooling and Finishing Packing	4	5	10
	1.5	2	1
	1	1.5	1

Table 1b. Location B Toilet Lotion Spray

Sanitizer

Splitting and Mixing Cooling and Finishing Packing	4	5	10
	1.5	2	1
	2	2	1

At Location A, the production cycle the company expects to spend 38,400 minutes in Splitting and Mixing process, 9,600 minutes in Cooling and Finishing, and 6,000 in Packing. The expected revenues will be for each unit is 3.75 EGP for Toilet Sanitizer, 8 EGP Lotion, and 8.07 for Spray. Additionally, the marketing team recommends testing the new market by putting a ceiling on the maximum number of Lotion as 1,000 units and Spray as 3,000.

At Location B, the production cycle consumes the same times as shown in the table 1b. The revenues however will be different: 10 EGP for Toilet Sanitizer, 14 EGP Lotion, and 6 for Spray. The constraints are the same.

The expected per box cost of transportation, storage and handling is shown in the next table (2) so you can use it in determining the new location of the factory given that the companys budget for the new transportation location is 760,000 EGP.

The company has 3 existing factories and ship their capacity to 4 different distribution areas in which area 1 needs 6,000 boxes, area 2 demands 7,000 boxes, area 3 has a demand of 6,500 and area 4 needs 3,000 boxes.

Each factory has a certain capacity; 1^st plant has capacity of 7,200 boxes, 2^nd plant can supply up to 3,800 boxes and the 3^rd ones maximum production capacity is 4,600 boxes. The company wishes its new factory to supply the shortage in its supply.

	Table 2		Area 1	Area 2	Area 3	Area 4
	1st Zone October	Shipping cost	8	9	4	4
		Storage and handling cost	30	32	30	35
	2nd Zone October	Shipping cost	5	6	8	5
		Storage and handling cost	25	30	35	40
	10th of Ramadan Zone	Shipping cost	7	9	6	8
		Storage and handling cost	38	25	42	37
	Loc A (AlSafa)	Shipping cost	3	4	5	6
		Storage and handling cost	30	31	41	37
	Loc B (Almenia)	Shipping cost	2	6	5	7
		Storage and handling cost	30	40	27	38

Please explain how you did it. Thank you so much