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A Hospital Needs to Determine How Many Nurses to Hire

question 34

Essay

A hospital needs to determine how many nurses to hire to cover a 24 hour period. The nurses must work 8 consecutive hours but can start work at the start of 6 different shifts. They are paid different wages depending on when they start their shifts. The number of nurses required per 4-hour time period and their wages are shown in the following table.
 Time period  Required # of Nurses  Wage ($/hr)12am4am20154am483016 am 8am12pm401312pm4pm50134pm44014pm8pm12am3015\begin{array}{lcc}\text { Time period } & \text { Required \# of Nurses } & \text { Wage }(\$ / \mathrm{hr}) \\\hline 12 \mathrm{am}-4 \mathrm{am} & 20 & 15 \\\quad 4 \mathrm{am}-48 & 30 & 16 \\\text { am } & & \\\quad 8 \mathrm{am}-12 \mathrm{pm} & 40 & 13 \\12 \mathrm{pm}-4 \mathrm{pm} & 50 & 13 \\4 \mathrm{pm}-4 & 40 & 14 \\\\\mathrm{pm} \\8 \mathrm{pm}-12 \mathrm{am} &30 & 15\end{array}
Formulate the LP for this problem.

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Definitions:

Acquisition Differential

The difference between the cost of acquiring a company and the fair value of its identifiable net assets.

Equity Method

An accounting technique used to record the investments in other companies, where the investment is significant but the investor does not have full control.

Patent

A legal right granted to an inventor for an exclusive period, typically 20 years, to exploit a new, useful, and non-obvious invention.

Consolidated Cash Flows

A statement merging the cash flows of a parent company and its subsidiaries to present the overall cash generated or used by the entire group.

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