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A Firm Has 4 Plants That Produce Widgets The Firm Needs to Satisfy All Demand Each Day, but B

question 17

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A firm has 4 plants that produce widgets. Plants A, B, and C can each produce 100 widgets per day. Plant D can produce 50 widgets per day. Each day, the widgets produced in the plants must be shipped to satisfy the demand of 3 customers. Customer 1 requires 75 units per day, customer 2 requires 100 units per day, and customer 3 requires 175 units per day. The shipping costs for each possible route are shown in the table below:
Shipping CostsCustomerper unit Plant123A$25$35$15 B$20$30$40C$40$35$20D$15$20$25\begin{array}{c}Shipping~ Costs&&&Customer\\per~unit~Plant&&1&2&3\\\mathrm{A} && \$ 25 & \$ 35 & \$ 15 \\\mathrm{~B} && \$ 20 & \$ 30 & \$ 40 \\\mathrm{C} && \$ 40 & \$ 35 & \$ 20 \\\mathrm{D} && \$ 15 & \$ 20 & \$ 25\end{array}
The firm needs to satisfy all demand each day, but would like to minimize the total costs.
What is the minimum daily shipping cost that the firm can achieve?

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Definitions:

Age Stereotypes

Preconceived notions and generalized beliefs about individuals or groups based on their age, often resulting in discrimination or biased treatment.

Challenging Jobs

Positions that require a high level of skill or effort and provide a substantial degree of personal satisfaction upon achievement.

Lack Creativity

A situation or condition where there is an absence of originality, innovation, or novel ideas.

Ability Stereotyping

The prejudgment and oversimplification about the capabilities of individuals based on their membership in certain groups, which can influence expectations and opportunities.

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