Question

**Problem #7-18 Using the following
equations, graph the constraints, and solve using the corner point
approach.** **NOTE: is a minimization
problem like Holiday Turkey example in book**

*X*_{1} = number of undergraduate courses

*X*_{2} = number of graduate courses

Minimize cost = $2,500*X*_{1} +
$3,000*X*_{2}

subject
to
*X*_{1} >= 30

*
X*_{2} >= 20

** **
X_{1} + X_{2} >= 60

X1, X2 >= 0

Answer #1

a. Solve the following linear programming model by using the
graphical method: graph the constraints and identify the feasible
region then determine the optimal solution (s) (show your
work).
Minimize Z = 3x1 + 7x2
Subject to 9x1 + 3x2 ≥ 36
4x1 + 5x2 ≥ 40
x1 – x2 ≤ 0
2x1 ≤ 13
x1, x2 ≥ 0
b. Are any constraints binding? If so, which one (s)?

Solve the following linear programming model by using the
graphical method: graph the constraints and identify the feasible
region. Using the corner points method, determine the optimal
solution (s) (show your work).
Maximize Z = 6.5x1 + 10x2
Subject to x1 + x2 ≤ 15
2x1 + 4x2 ≤ 40
x1 ≥ 8
x1, x2 ≥ 0
b. If the constraint x1 ≥ 8 is changed to x1 ≤ 8, what effect
does this have on the optimal solution? Are...

Solve the following linear program using the simplex method. If
the problem is two dimensional, graph the feasible region, and
outline the progress of the algorithm.
Minimize Z = 3X1 – 2X2 – X3
Subject to 4X1 + 5X2 – 2X3 ≤
22
X1 – 2X2 + X3 ≤ 30
X1, X2, X3 ≥ 0

Solve the LP problem using graphical method. Determine the
optimal values of the decision variables and compute the objective
function.
Minimize Z = 2x1 + 3x2
Subject to
4x1
+ 2x2 ≥ 20
2x1
+ 6x2 ≥ 18
x1 + 2x2 ≤ 12
x1, x2 ≥ 0
with solution! thak you so much :D

Solve the following LP model using the dual simplex method. Use
the format of the tabular form of the simplex without converting
the problem into a maximization problem.
Minimize -2x1 – x2
Subject to
x1+ x2+ x3 = 2
x1 + x4 = 1
x1, x2, x3, x4 ³ 0

Solve the following LP problem graphically using level
curves.
MAX: 7 X1 + 4 X2
Subject to: 2X1 + X2 ≤ 16
X1 + X2 ≤ 10
2X1 + 5 X2 ≤ 40
X1, X2 ≥ 0
a. X1 = 4
b. X1 = 6
c. X1 = 8
d. X1 = 10

Solve the following system of equations using LU factorization
with partial pivoting:
2x1 − 6x2 − x3 = −38
−3x1 − x2 + 7x3 = −34
−8x1 + x2 − 2x3 = −40
I would like to write a matlab code to solve the problem without
using loops or if statements. All i want is a code to swap the
rows. I can solve the rest. Thank you in advance.

Solve the following LP problem graphically; confirm your results
using Solver in MS Excel. Maximize profit = 20x1 + 10x2 Subject to:
5x1 + 4x2 ≤ 250 2x1 + 5x2 ≤ 150 x1, x2 ≥ 0

Solve the following problem in the text book using
Excel or Matlab.
Calculate the work of mechanically reversible, isothermal
compression of 1 mole of methyl chloride from 1 bar to 55 Bar at
100 C. Base calculations on the following forms of the virial
equations.
The submitted files should include:
all input data, calculations and iterations performed in
details.
Comparison with results obtained from the built in function “If
analysis” or “Solver “in Excel.
Plot the error versus the number...

Use C++ in Solving Ordinary Differential Equations using
a
Fourth-Order Runge-Kutta of Your Own Creation
Assignment:
Design and construct a computer program in C++ that will
illustrate the use of a fourth-order
explicit Runge-Kutta method of your own design. In other words, you
will first have to solve the Runge-Kutta equations of condition for
the coefficients
of a fourth-order Runge-Kutta method. See the
Mathematica notebook on solving the equations for 4th order RK
method.
That notebook can be found at...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 1 minute ago

asked 5 minutes ago

asked 6 minutes ago

asked 25 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago