Question: 3. (20 marks) A linear optimization model has been made for a metal fabricating shop where the variables are the number of screws, nuts, and

3. (20 marks) A linear optimization model has been made for a metal fabricating shop where the variables are the number of screws, nuts, and bolts made per minute, de- noted as x1, x2, and x3 respectively. The objective function is in dollars; for example each screw gives a profit of $0.15 (or 15 cents) each. There are four operations: milling; cutting; lathework, and packaging. The algebraic formulation is: maximize 0.15x +0.10x2 +0.12x3 subject to milling 2x + 3x2 + 5x3

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