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A Manufacturing Firm Has Three Plants and Wants to Find

question 74

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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 minimum total cost to meet all customer requirements?

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Definitions:

Earth Layers

The division of Earth's interior into distinct layers, including the crust, mantle, outer core, and inner core, each with unique physical and chemical properties.

Producers

Organisms in an ecosystem that produce biomass from inorganic compounds, usually through photosynthesis, forming the base of the food web.

UV Radiation

Ultraviolet radiation, a form of energy emitted by the sun that can cause skin damage and other health risks.

Earth's Atmosphere

The layer of gases surrounding the Earth, essential for life, and protecting it from harmful solar radiation.

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