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Goal Programming Your Company makes five types of metal casings for laptops, and you are in...

Goal Programming

Your Company makes five types of metal casings for laptops, and you are in the process of replacing your current equipment with state-of-the-art stamping machines (the Robo I, Robo II, and Robo III). The machines cost $18,500, $25,000, and $35,000 respectively. Once you program each machine, it can stamp the following number of each type of casing per hour:

Machines Type 1 Type 2 Type 3 Type 4 Type 5
I 100 130 140 210 80
II 265 235 170 220 120
III 200 160` 260 180 220

You have the following hourly production demands for each type of casing:

Type 1 Type 2 Type 3 Type 4 Type 5
ProdGoal 3200 2500 3500 3000 2500

If your budget is capped at $400,000., what selection of machines will allow you to come closest to your goal in terms of having the smallest number of unmet demands?

Please show and explain using solver and show formula setups in excel

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