本次英国代写是运筹学的一个Assignment
1 (a) Betty 计划总共投资 17 美元； 000 共同基金，存款证明，
和高收益储蓄账户。她不想在相互投资更多
由于风险，资金比她的存款和储蓄证明的总和
参与共同基金。她还希望储蓄金额至少为
存款证明金额的一半。她的预期回报率为 8.5%
共同基金，存款证 5%，储蓄 3.7%。多少
贝蒂应该在每个领域投资，才能获得最大的回报
投资？将其表述为线性规划问题，清楚地描述
您的决策变量、目标函数和约束。不解决LP
问题。 [9 分]
(b) 使用对偶单纯形法求解以下线性规划问题：
最小化 z = 2×1 + 3×2 + 3×3
受制于：x1 2×2 8
2×2 + x3 15
2×1 x2 + x3 25
x1 0; x2 0; x3 0
清楚地提供问题的最优解和相应的观察结果
主观函数值。 [8 分]
1 (a) Betty plans to invest a total of $17; 000 in mutual funds, certi cates of deposit,
and a high yield savings account. She doesn’t want to invest more in mutual
funds than the sum of her certi cates of deposit and savings because of the risk
involved in mutual funds. She also wants the amount in savings to be at least
half the amount in certi cates of deposit. Her expected returns are 8.5% on the
mutual funds, 5% on the certi cates of deposit, and 3.7% on savings. How much
money should Betty invest in each area in order to have the largest return on her
investments? Formulate this as a linear programming problem, clearly describing
your decision variables, objective function, and constraints. Do not solve the LP
problem. [ 9 marks ]
(b) Solve the following linear programming problem by using the Dual SimplexMethod:
minimise z = 2×1 + 3×2 + 3×3
subject to: x1 2×2 8
2×2 + x3 15
2×1 x2 + x3 25
x1 0; x2 0; x3 0
Clearly provide the optimal solution for the problem and the corresponding ob-
jective function value. [ 8 marks ]