National Wing Company (NWC)is Gearing Up for the New B-48

question 33

Essay

National Wing Company (NWC)is gearing up for the new B-48 contract.Currently NWC has 100 equally qualified workers.Over the next three months NWC has made the following commitments for wing production: $$\begin{array} { c c } \text { Month } & \text { Wing Froduction } \\\hline \text { May } & 20 \\\text { June } & 24 \\\text { July } & 30\end{array}$$ Each worker can either be placed in production or can train new recruits.A new recruit can be trained to be an apprentice in one month.The next month,he,himself,becomes a qualified worker (after two months from the start of training).Each trainer can train two recruits.The production rate and salary per employee is estimated below. $$\begin{array} { | c | c | c | } \hline \text { Employee } & \text { Froduction Rate (Wings/Month) } & \text { Salary Per Month } \\\hline \text { Production } & .6 & \$ 3,000 \\\hline \text { Trainer } & .3 & 3,300 \\\hline \text { Apprentice } & .4 & 2,600 \\\hline \text { Recruit } & .05 & 2,200 \\\hline\end{array}$$ At the end of July,NWC wishes to have no recruits or apprentices but have at least 140 full-time workers.Formulate and solve a linear program for NWC to accomplish this at minimum total cost.

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Definitions:

Utils

A hypothetical unit of measurement used in economics to quantify the level of utility or satisfaction gained from consuming goods and services.

Sensitivity

The degree to which something is affected by changes in external factors, often used in contexts like financial analyses, project planning, or scientific measurements.

Marginal Utility

This concept describes the additional satisfaction or utility a consumer receives from consuming one more unit of a good or service.

Total Utility

The complete satisfaction or benefit a consumer receives from consuming a certain amount of goods or services.