A computer manufacturing company wants to develop a monthly plan for shipping finished products from three of its manufacturing facilities to three regional warehouses. It is thinking about using a transportation LP formulation to exactly match capacities and requirements. Data on transportation costs in dollars per unit), capacities, and requirements are given below:
$$\begin{array} { c c c c c }
& \text { Plant } & \text { Plant } & \text { Plant } & \
\underline { \text { Warehouse} } & 1 & \underline { 2 } & \underline { 3 } & \underline { \text { Requirements } }\
\mathbf { x } & 2 . \overline { 4 } 1 & 1 . \overline { 6 } 3 & \text { 2.09 } & 8,000 \
Y & 3.18 & 5.62 & 1.74 & 2,000 \
\text { Z } & 4.12 & 3.16 & \text { 3.0 } & 3,000 \
\text { Capacities } & 4,000 & 0,000 & 3,000 & \

\end{array}$$
a. How many variables are involved in the LP formulation?
b. How many constraints are there in this problem?
c. What is the constraint corresponding to plant 2?

Question

A computer manufacturing company wants to develop a monthly plan for shipping finished products from three of its manufacturing facilities to three regional warehouses. It is thinking about using a transportation LP formulation to exactly match capacities and requirements. Data on transportation costs in dollars per unit), capacities, and requirements are given below:
 $$\begin{array} {  c c  c c  c } 
 & \text { Plant } & \text { Plant } & \text { Plant } & \
\underline {  \text { Warehouse} } & 1 & \underline { 2 } & \underline { 3 } & \underline { \text { Requirements } }\
\mathbf { x } & 2 . \overline { 4 } 1 & 1 . \overline { 6 } 3 & \text { 2.09 } & 8,000 \
Y & 3.18 & 5.62 & 1.74 & 2,000 \
\text { Z } & 4.12 & 3.16 & \text { 3.0 } & 3,000 \
 \text { Capacities } & 4,000 & 0,000 & 3,000 & \

\end{array}$$ 
a. How many variables are involved in the LP formulation?
b. How many constraints are there in this problem?
c. What is the constraint corresponding to plant 2?

Quizplus · Accepted Answer

The Answer of A computer manufacturing company wants to develop a monthly plan for shipping finished products from three of its manufacturing facilities to three regional warehouses. It is thinking about using a transportation LP formulation to exactly match capacities and requirements. Data on transportation costs in dollars per unit), capacities, and requirements are given below:
 $$\begin{array} {  c c  c c  c } 
 & \text { Plant } & \text { Plant } & \text { Plant } & \
\underline {  \text { Warehouse} } & 1 & \underline { 2 } & \underline { 3 } & \underline { \text { Requirements } }\
\mathbf { x } & 2 . \overline { 4 } 1 & 1 . \overline { 6 } 3 & \text { 2.09 } & 8,000 \
Y & 3.18 & 5.62 & 1.74 & 2,000 \
\text { Z } & 4.12 & 3.16 & \text { 3.0 } & 3,000 \
 \text { Capacities } & 4,000 & 0,000 & 3,000 & \

\end{array}$$ 
a. How many variables are involved in the LP formulation?
b. How many constraints are there in this problem?
c. What is the constraint corresponding to plant 2?

A Computer Manufacturing Company Wants to Develop a Monthly Plan