Question
In: Advanced Math
Use the simplex method to solve the following linear programming problems. Clearly indicate all the steps,...
Use the simplex method to solve the following linear programming problems. Clearly indicate all the steps, the entering and departing rows and columns and rows, the pivot and the row operations used. An investor has up to N$450,000 to invest in three types of investments. Type A pays 6% annually and has a risk factor of 0. Type B pays 10% annually and has a risk factor of 0.06. Type C pays 12% annually and has a risk factor of 0.08. To have a well-balanced portfolio, the investor imposes the following conditions. The average risk factor should be no greater than 0.05. Moreover, at least one-half of the total portfolio is to be allocated to Type A investments and at least one-fourth of the portfolio is to be allocated to Type B investments. How much should be allocated to each type of investment to obtain a maximum return?
Solutions
Expert Solution
Thus to obtain maximum
profit investors invest $225000 in A, $112500 in B and $112500 in C
and get maximum profit $38250
Colby Messinger answered 1 year agoRelated Solutions
Use the dual simplex method to solve the following linear programming problems. Clearly indicate all the...
Use the dual simplex method to solve the following linear
programming problems. Clearly indicate all the steps, the entering
and departing rows and columns and rows, the pivot and the row
operations used. Use the simplex method to solve the following
linear programming problems. Clearly indicate all the steps, the
entering and departing rows and columns and rows, the pivot and the
row operations used. 2.2.1 An electronics manufacturing company has
three production plants, each of which produces three different...
Maximization by the simplex method Solve the following linear programming problems using the simplex method. 1>....
Maximization by the simplex method
Solve the following linear programming problems using the
simplex method.
1>.
Maximize z = x1 + 2x2 +
3x3
subject to x1 + x2 +
x3 ≤ 12
2x1 + x2 + 3x3 ≤ 18
x1, x2, x3 ≥ 0
2>.
A farmer has 100 acres of land on which she plans to grow wheat
and corn. Each acre of wheat requires 4 hours of labor and $20 of
capital, and each acre of corn...
Use the simplex method to solve the linear programming problem. The maximum is ___ when x1=...
Use the simplex method to solve the linear programming problem.
The maximum is ___ when x1= ___ and x2=___
a.)
Maximize : z= 24x1+2x2
Subject to: 6x1+3x2<=10, x1+4x2<=3
With: x1>=0, x2>=0
b.)
Maximize: z=2x1+7x2
Subject to: 5x1+x2<=70, 7x1+2x2<=90, x1+x2<=80
With: x1,x2>=0
c.)
Maximize: z=x1+2x2+x3+5x4
Subject to: x1+3x2+x3+x4<=55, 4x+x2+3x3+x4<=109
With: x1>=0, x2>- 0, x3>=0, x4>=0
d.)
Maximize: z=4x1+7x2
Subject to: x1-4x2<=35 , 4x1-3x2<=21
With: x1>=0, x2>=0
Solve the given linear programming problem using the simplex method. If no optimal solution exists, indicate...
Solve the given linear programming problem using the simplex
method. If no optimal solution exists, indicate whether the
feasible region is empty or the objective function is unbounded.
(Enter EMPTY if the feasible region is empty and UNBOUNDED if the
objective function is unbounded.)
Minimize
c = x + y + z +
w
subject to
x
+
y
≥
80
x
+
z
≥
60
x
+
y
−
w
≤
50
y
+
z
−
w
≤
50...
Use the simplex method to solve the linear programming problem. Maximize P = x + 2y...
Use the simplex method to solve the linear programming
problem.
Maximize
P = x + 2y + 3z
subject to
2x
+
y
+
z
≤
21
3x
+
2y
+
4z
≤
36
2x
+
5y
−
2z
≤
15
x ≥ 0, y ≥ 0, z ≥ 0
Use the simplex method to solve the linear programming problem. Maximize P = 3x + 2y...
Use the simplex method to solve the linear programming
problem.
Maximize
P = 3x + 2y
subject to
3x
+
4y
≤
33
x
+
y
≤
9
2x
+
y
≤
13
x ≥ 0, y ≥ 0
The maximum is P = at
(x, y)
Use the simplex method to solve the linear programming problem. Maximize P = 3x + 2y...
Use the simplex method to solve the linear programming
problem.
Maximize
P = 3x + 2y
subject to
3x
+
4y
≤
33
x
+
y
≤
9
2x
+
y
≤
13
x ≥ 0, y ≥ 0
The maximum is P = at
(x, y)
Use the simplex method to solve the linear programming problem. Maximize P = x + 2y...
Use the simplex method to solve the linear programming
problem.
Maximize
P = x + 2y + 3z
subject to
2x
+
y
+
z
≤
56
3x
+
2y
+
4z
≤
96
2x
+
5y
−
2z
≤
40
x ≥ 0, y ≥ 0, z ≥ 0
The maximum is P = at
(x, y, z) =
Use the simplex method to solve the linear programming problem. Maximize P = x + 2y...
Use the simplex method to solve the linear programming
problem.
Maximize
P = x + 2y + 3z
subject to
2x
+
y
+
z
≤
28
3x
+
2y
+
4z
≤
48
2x
+
5y
−
2z
≤
20
x ≥ 0, y ≥ 0, z ≥ 0
The maximum is P = ________
at
(x, y, z) = (_______)
.
Use the simplex method to solve the linear programming problem. Maximize P = 4x + 3y...
Use the simplex method to solve the linear programming
problem.
Maximize
P = 4x + 3y
subject to
3x
+
6y
≤
33
x
+
y
≤
7
3x
+
y
≤
19
x ≥ 0, y ≥ 0
The maxium P= ____ at (x,y) ____
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- An artificial satellite of the Earth releases a bomb. Neglecting air resistance, the bomb will never...
- Assume a reporter said, “Today the Fed lowered the federal funds rate from 5.5 percent to...
- 1. I propose to you the following gamble: I flip a fair coin, and if it...
- Consider two economies that are identical in all dimesions -- the same population, same saving rate,...
- A Nash equilibrium in a game is A. an outcome in which all players are choosing...
- A placekicker is about to kick a field goal. The ball is 25.3 m from the...
- When OPEC (Organization for Petroleum Exporting Countries) was established and started to apply a quota (restriction)...
ADVERTISEMENT