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.
$\begin{array}{lcc}\text { Time period } & \text { Required \# of Nurses } & \text { Wage }(\$ / \mathrm{hr}) \\\hline 12 \mathrm{am}-4 \mathrm{am} & 20 & 15 \\\quad 4 \mathrm{am}-48 & 30 & 16 \\\text { am } & & \\\quad 8 \mathrm{am}-12 \mathrm{pm} & 40 & 13 \\12 \mathrm{pm}-4 \mathrm{pm} & 50 & 13 \\4 \mathrm{pm}-4 & 40 & 14 \\\\\mathrm{pm} \\8 \mathrm{pm}-12 \mathrm{am} &30 & 15\end{array}$
Formulate the LP for this problem.

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Definitions:

Management's Expectations

The forecasts or outlooks on future business performance, operational results, or financial conditions as projected by a company's management.

Capital Budgeting

The process of evaluating and selecting long-term investments that are in line with the goal of maximization of shareholder wealth.

Capital Markets

Financial markets for buying and selling equity and debt instruments, which channel savings and investment between suppliers of capital and users of capital.

Large Sums

Large sums typically refer to a significantly high amount of money in various financial contexts, including investments, transactions, or savings.