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A Manufacturing Firm Has Three Plants and Wants to Find

question 25

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A manufacturing firm has three plants and wants to find the most efficient means of meeting the requirements of its four customers. The relevant information for the plants and customers, along with shipping costs in dollars per unit, are shown in the table below:
Customer (requirement) Customer 3Customer 4 Factory (capacity)   Custcmer 1(25)  Customer 2(50) (125) (75)  A (100)  $15$10$20$17B(75) $20$12$19$20 C (100)  $22$20$25$14\text{Customer (requirement) }\\\begin{array} { l c c c c } &&&Customer ~3 &Customer ~4\\\text { Factory (capacity) } & \text { Custcmer } 1 ( 25 ) & \text { Customer } 2 ( 50 ) & ( 125 ) & ( 75 ) \\ \text { A (100) } & \$ 15 & \$ 10 & \$ 20 & \$ 17 \\ B ( 75 ) & \$ 20 & \$ 12 & \$ 19 & \$ 20 \\ \text { C (100) } & \$ 22 & \$ 20 & \$ 25 & \$ 14 \end{array}
Note: This question requires Solver.
Formulate the problem in Solver and find the optimal solution. What is the optimal quantity to ship from Factory A to Customer 2?


Definitions:

Menarche

The first occurrence of menstruation in a female, marking the onset of reproductive capability, typically occurring in early adolescence.

Vaginismus

A condition characterized by involuntary contraction of vaginal muscles making penetration painful or impossible, often associated with anxiety and fear of vaginal penetration.

Alveoli

Tiny air sacs in the lungs where the exchange of oxygen and carbon dioxide takes place.

Areolas

The pigmented skin areas surrounding the nipples of the breast, which can vary in color and size among individuals.

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