Consider the LPP
𝑀𝑎𝑥𝑖𝑚𝑖𝑧𝑒 𝑝 = 3𝑥 + 4𝑦 + 5𝑧
𝑆𝑢𝑏𝑗𝑒𝑐𝑡 𝑡𝑜: 2𝑥 + 4𝑦 + 3𝑧 ≤ 80
4𝑥 + 2𝑦 + 𝑧 ≤ 48
𝑥 + 𝑦 + 2𝑧 ≤ 40
𝑥, 𝑦, 𝑧 ≥ 0
i. Convert the linear program to standard form. [2 Marks]
ii. Apply simplex method to find the optimal solution to the LP.
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