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

question 12

Multiple Choice

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:
$\begin{array}{c}Shipping~ Costs&&&Customer\\per~unit~Plant&&1&2&3\\\mathrm{A} && \$ 25 & \$ 35 & \$ 15 \\\mathrm{~B} && \$ 20 & \$ 30 & \$ 40 \\\mathrm{C} && \$ 40 & \$ 35 & \$ 20 \\\mathrm{D} && \$ 15 & \$ 20 & \$ 25\end{array}$
The firm needs to satisfy all demand each day, but would like to minimize the total costs.
The objective function for the firm's problem will have how many terms?

• A) 5
• B) 7
• C) 10
• D) 12
• E) 14

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Definitions:

OPEC Oil Cartel

An international organization of oil-producing countries that coordinates and unifies the petroleum policies of its member states to stabilize oil markets and prices.

Inelastic

Describing demand that does not significantly change with the price changes of a good or service.

Income Elasticities

Refers to the sensitivity of the demand for a good to changes in the income of the consumers who buy this good.

Normal Goods

Products that see an increase in demand when consumer income grows, and experience a drop in demand as consumer income declines.