Four proposals are under consideration by your company. Proposals A and C are mutually exclusive; proposals B and D are mutually exclusive and cannot be implemented unless proposal A or C has been selected. No more than $140,000 can be spent at time zero. The before-tax MARR is 15% per year. The estimated cash flows are shown in the accompanying table. Form all mutually exclusive combinations in view of the specified contingencies, and formulate this problem as a linear integer programming model.

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End of yearA Proposal $100,000-$20,000$120,000-530,000 0,000 6,000 25,000 6,000 0,0000,000 50,000 10,000 60,00010,000 85,000 19,000