Waygate Corporation manufactures three different types of metal computer cases personal. The company is in the process of replacing its machinery with three new models different types of metal stamping machines: Robo-I, Robo-II and Robo-III. The unit costs of each machine are $ 25,000, $ 24,000, and $ 35,000, respectively. Each machine can be programmed to produce any of the three shells. Once the machine is programmed, it produces each type casing at speeds shown in Table. 

	Carcasses per hour
	Type 1	Type 2	Type 2
Robo-I	110	150	240
Robo-II	165	130	160
Robo-III	140	170	260

The company has the following minimum production goals (MPM) per hour:

	Carcasses per hour
	Type 1	Type 2	Type 2
MPM	4200	3900	3500

Write the appropriate Goal Programming model for this problem, under the assumption that all deviations from all goals are equally undesirable. In addition, the company aims to spend no more than $ 700,000 on the purchase of new machines.