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Qm Question1

In: Business and Management

Submitted By onitsu
Words 258
Pages 2
| | | | | | | Question 1 | | | | A) | Decision Variables | | A: Number of units of Walnuts needed to make a packet of mixed nuts | | B: Number of units of Almonds needed to make a packet of mixed nuts | | C: Number of units of Cashews needed to make a packet of mixed nuts | | D: Number of units of Pennuts needed to make a packet of mixed nuts | | E: Number of units of Pecans needed to make a packet of mixed nuts | | F: Number of units of Hazel nuts needed to make a packet of mixed nuts | | G: Number of units of Brazil needed to make a packet of mixed nuts | | H: Number of units of Macadamia needed to make a packet of mixed nuts | | I: Number of units of Pistachios needed to make a packet of mixed nuts | | | | | Where I unit is 30g , and 1 packet is 2 units | | | | B) | Formulation of the problem | | Objective Function | | | To minimise cost ,Z = 0.35A+0.29B+0.31C+0.18D+0.30E+0.28F+0.22G+0.40H+0.42I | | | | | Subject to | | | A+B+C+D+E+F+G+H+I =60 ( total packaging weight) | | | 2.6A+0.002C+0.28E+0.02F+0.01G+0.5H+0.08I ≥ 1 ( at least 1g of Omega 3) | | | A+G+E≤ 0.4 | | | 2.5A+9.1B+6.7C+6.9D+11.6E+14F+7G+17H+7.6I <16(saturated fat) | | | 4A+6B+5C+7D+3E+3F+4G+2H+7I ≥ 8(Protein) | | | A ,B,C,D,E,F,G,H,I ≥ 0 ( Non - negativity constraints) |

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