Question 1

Use the indicated entry as the pivot and perform the pivoting once.
-

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 2

Find the value(s) of the function on the given feasible region.
-Find the minimum of $z=14 x+10 y$.

Accepted Answer

A)  29 
B)  39 
C)  15 
D)  10 
A)  29 
B)  39 
C)  15 
D)  10

Question 3

Use the two-stage method to solve.
-Find $x_{1} \geq 0, x_{2} \geq 0, x_{3} \geq 0$ such that
$$\begin{aligned}
& x_{1}+2 x_{2}+x_{3} \leq 40 \
& 2 x_{1}+x_{2}+x_{3} \geq 26
\end{aligned}$$
And $\mathrm{z}=4 \mathrm{x}_{1}+\mathrm{x}_{2}+2 \mathrm{x}_{3}$ is maximized.

Accepted Answer

A)  $x_{1}=40, x_{2}=0, x_{3}=0, z=160$ 
B)  $x_{2}=20, x_{1}=0, x_{3}=0, z=20$ 
C)  $x_{3}=40, x_{1}=0, x_{2}=0, z=80$ 
D)  $x_{1}=30, x_{3}=15, x_{2}=0, z=135$ 
A)  $x_{1}=40, x_{2}=0, x_{3}=0, z=160$ 
B)  $x_{2}=20, x_{1}=0, x_{3}=0, z=20$ 
C)  $x_{3}=40, x_{1}=0, x_{2}=0, z=80$ 
D)  $x_{1}=30, x_{3}=15, x_{2}=0, z=135$

Use the indicated entry as the pivot and perform the pivoting once. -

Find the value(s) of the function on the given feasible region. -Find the minimum of $z=14 x+10 y$ .

Use the two-stage method to solve. -Find $x_{1} \geq 0, x_{2} \geq 0, x_{3} \geq 0$ such that +2+\leq40 2++\geq26 And $\mathrm{z}=4 \mathrm{x}_{1}+\mathrm{x}_{2}+2 \mathrm{x}_{3}$ is maximized.

Algebra and Equations

Graphs, Lines, and Inequalities

Functions and Graphs

Exponential and Logarithmic Functions

Mathematics of Finance

Systems of Linear Equations and Matrices

Sets and Probability

Counting, Probability Distributions, and Further Topics in Probability

Introduction to Statistics

Differential Calculus

Applications of the Derivative

Integral Calculus

Multivariate Calculus

Filters

Exam 7: Linear Programming