The Meredith Ribbon Company Produces Paper and Fabric Decorative Ribbon

question 15

Essay

The Meredith Ribbon Company produces paper and fabric decorative ribbon which it sells to paper products companies and craft stores.The demand for ribbon is seasonal.Information about projected demand and production for a particular type of ribbon is given. $$\begin{array} { l c c c } & \text { Demand (yards) } & \text { Production Cost Per Yard } & \text { Production Capacity (yards) } \\\hline \text { Quarter 1 } & 10,000 & .03 & 30,000 \\\text { Quarter 2 } & 18,000 & .04 & 20,000 \\\text { Quarter 3 } & 16,000 & .06 & 20,000 \\\text { Quarter 4 } & 30,000 & .08 & 15,000\end{array}$$ An inventory holding cost of $.005 is levied on every yard of ribbon carried over from one quarter to the next.
a.Define the decision variables needed to model this problem.
b.The objective is to minimize total cost, the sum of production and inventory holding cost. Give the objection function.
c.Write the production capacity constraints.
d.Write the constraints that balance inventory, production, and demand for each quarter. Assume there is no beginning inventory in quarter 1.
e.To attempt to balance the production and avoid large changes in the workforce, production in period 1 must be within 5000 yards of production in period 2. Write this constraint.

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Definitions:

Superordinate Goals

Objectives that are shared and agreed upon by members of different groups or teams, which require cooperative efforts to achieve, thus helping to reduce conflict.

Individual-Based Rewards

Compensation or recognition given to employees based solely on their individual performance, contributions, or achievements.

Willingness To Cooperate

An individual or group's readiness to work together with others towards common goals or in joint efforts.

Task-Oriented Behavior

An approach focused on completing tasks efficiently and effectively, often with a focus on the work at hand rather than interpersonal relationships.