A Computer Manufacturing Company Wants to Develop a Monthly Plan

question 42

Essay

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?

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Definitions:

Present Hour

Refers to the current period or moment in time, often used to emphasize immediacy or urgency in context.

Achieving Perfection

The pursuit of flawlessness in various aspects of life, often considered an impossible or idealistic goal.

Religious Revivals

Periods of increased spiritual interest or renewal in the life of a church congregation or society, with a focus on evangelism and repentance.

Original Sin

A doctrine in Christianity that suggests all humans inherit a sinful nature due to the fall of Adam and Eve in the Garden of Eden.