Spencer Enterprises is attempting to choose among a series of new investment alternatives

Spencer Enterprises is attempting to choose among a series of new investment alternatives. The potentialinvestment alternatives, the net present value of the future stream of returns, the capital requirements, and theavailable capital funds over the next three years are summarized as follows:Max 4,000×1 + 6,000×2 + 10,500×3 + 4,000×4 + 8,000×5 + 3,000x6s.t.3,000×1 + 2,500×2 + 6,000×3 + 2,000×4 + 5,000×5 + 1,000×6 < 10,500 Capital Requirements Year 1 1,000×1 + 3,500×2 + 4,000×3 + 1,500×4 + 1,000×5 + 500×6 < 10,500 Capital Requirements Year 2 4,000×1 + 3,500×2 + 5,000×3 + 1,800×4 + 4,000×5 + 9,000×6 < 8,750 Capital Requirements Year 3X1 = 0 or 1a) Solve the integer programming model above for maximizing the net present value.Max 4,000×1 + 6,000×2 + 10,500×3 + 4,000×4 + 8,000×5 + 3,000x6s.t.3,000×1 + 2,500×2 + 6,000×3 + 2,000×4 + 5,000×5 + 1,000×6 < 10,500 Capital Requirements Year 1 1,000×1 + 3,500×2 + 4,000×3 + 1,500×4 + 1,000×5 + 500×6 < 10,500 Capital Requirements Year 2 4,000×1 + 3,500×2 + 5,000×3 + 1,800×4 + 4,000×5 + 9,000×6 < 8,750 Capital Requirements Year 3X1 + X2 < 1X1 = 0 or 1 Expansion b) Solve for the model above with the warehouse expansion project.Max 4,000×1 + 6,000×2 + 10,500×3 + 4,000×4 + 8,000×5 + 3,000x6s.t.3,000×1 + 2,500×2 + 6,000×3 + 2,000×4 + 5,000×5 + 1,000×6 < 10,500 Capital Requirements Year 1 1,000×1 + 3,500×2 + 4,000×3 + 1,500×4 + 1,000×5 + 500×6 < 10,500 Capital Requirements Year 2 4,000×1 + 3,500×2 + 5,000×3 + 1,800×4 + 4,000×5 + 9,000×6 < 8,750 Capital Requirements Year 3X1 + X2 < 1 Expansion X3 + X4 = 0 Marketing & Advertising X1 = 0 or 1c) Solve for the model above with the warehouse expansion project and marketing & advertising.