ABC Automatics makes three models of robots: 1) the XYZ, 2) the MNO, and 3) the RST. Fortunately, with high demand for their products, they can sell whatever they manufacture. Still, they want to make the best use of their available resources to generate the highest possible profit. The company has asked you to help plan their upcoming production levels, and have provided data about the three models in the table below. Furthermore, as part of their contractual obligations, they must manufacture at least 10 of each robot. The table below shows the profit per unit, and the resources required per unit in the manufacturing process. The last column shows the total resources that are available. Your task is to determine how many of each robot they can and should produce.

 

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Robot Models XYZ MNO RST Profit per Unit $550 $1,175 $845 Resources Required XYZ MNO RST Labour Hours Machine Hours Compressors (units) 16 Motors (units) Batteries (units) 5864m 15 10 Resources Available 850 hours 20 13 1,200 hours 32 24 850 units 8 6 250 units 3 12 4 215 units Robot Models XYZ MNO RST Profit per Unit $550 $1,175 $845 Resources Required XYZ MNO RST Labour Hours Machine Hours Compressors (units) 16 Motors (units) Batteries (units) 5864m 15 10 Resources Available 850 hours 20 13 1,200 hours 32 24 850 units 8 6 250 units 3 12 4 215 units