The Tots Toys Company Is Trying to Schedule Production of Two

question 6

Essay

The Tots Toys Company is trying to schedule production of two very popular toys for the next three months: a rocking horse and a scooter. Information about both toys is given below. $$\begin{array} { l c c c c c } \text { Toy } & \begin{array} { c } \text { Begin. Invty. } \\\text { June 1 }\end{array} & \begin{array} { c } \text { Required } \\\text { Plastic }\end{array} & \begin{array} { c } \text { Required } \\\text { Time }\end{array} & \begin{array} { c } \text { Production } \\\text { Cost }\end{array} & \begin{array} { c } \text { Production } \\\text { Cost }\end{array} \\\hline \text { Rocking Horse } & 25 & 5 & 2 & 12 & 1 \\\text { Scooter } & 55 & 4 & 3 & 14 & 1.2\end{array}$$ $$\begin{array} { l c c c c } & \text { Plastic } & \text { Time } & \text { Monthly Demand } & \text { Monthly Demand } \\\text { Summer Schedule } & \text { Available } & \text { Available } & \text { Horse } & \text { Scooter } \\\hline \text { June } & 3500 & 2100 & 220 & 450 \\\text { July } & 5000 & 3000 & 350 & 700 \\\text { August } & 4800 & 2500 & 600 & 520\end{array}$$ Develop a model that would tell the company how many of each toy to produce during each month. You are to minimize total cost. Inventory cost will be levied on any items in inventory on June 30, July 31, or August 31 after demand for the month has been satisfied. Your model should make use of the relationship
Beginning Inventory + Production - Demand = Ending Inventory
for each month. The company wants to end the summer with 150 rocking horses and 60 scooters as beginning inventory for Sept. 1. Don't forget to define your decision variables.

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Definitions:

Sense of Isolation

The feeling of being detached or separated from others, often leading to loneliness or depression.

Sense of Despair

A profound feeling of hopelessness and inadequacy, often associated with existential crises or the late stages of Erikson's psychosocial development theory.

Feelings of Generativity

A sense of contribution to the well-being of the next generation, characterized by a desire to nurture, guide, and offer outputs to society that lasts beyond one's lifetime.

Wisdom and Integrity

Wisdom refers to the quality of having deep knowledge, insight, or judgement, while integrity involves adherence to moral and ethical principles, signifying honesty and trustworthiness.