A Manager Cares About the Number of Workers Under Her

question 65

Multiple Choice

A manager cares about the number of workers under her command. She can choose between two projects: Project A allows her to hire workers who must be paid WA each, Project B allows her to hire workers who must be paid WB each. She is allocated a budget of $100 that she can allocate to either project. Which of the following accurately represents the manager's problem?

• A)The objective function is Max (NA+NB), where Ni is the number of workers on project i (i = A, B); the constraint is WANA + WBNB ≤ $100, where Wi is the wage on project i (i = A, B).
• B)The objective function is Max (N), where N is the number of workers under the manager's control; the constraint is WA + WB ≤ $100, where Wi is the wage on project i (i = A, B).
• C)The objective function is Max (WAN + WBN), where N is the number of workers and Wi is the wage of the worker on project i (i = A, B); the constraint is WA + WB ≤ $100.
• D)Max (B/N), where B is the manager's budget and N is the number of workers under the manager's command; the constraint is WAN + WBN ≤ $100.

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Definitions:

H2S

hydrogen sulfide, a toxic, flammable gas with a characteristic odor of rotten eggs, found in many natural and man-made environments.

Mid-Ocean Ridges

Undersea mountain ranges formed by the upwelling of magma as tectonic plates diverge, where new oceanic crust is created.

Asthenosphere

The semi-fluid layer of the Earth's mantle just below the lithosphere, allowing for plate tectonic movement due to its plasticity.

Marine Sediments

Deposits accumulated on the ocean floor, derived from chemical precipitates, organic matter, or the erosion of terrestrial materials.