A Company Has the Following Usage of Inputs, Constraints on Inputs

question 58

Essay

A company has the following usage of inputs, constraints on inputs and profit margins to make their three products.
$$\begin{array} { l l l l l } \text { Product } & \text { Wiring } & \text { Drilling } & \text { Assembly } & \text { Profit } \\\text { X202 } & 0.7 & 0.4 & 0.8 & 9 \\\text { Y303 } & 0.2 & 0.5 & 0.5 & 11 \\\text { Z404 } & 0.5 & 0.3 & 0.2 & 14\end{array}$$ There are maximum amounts of the following: 1500 hours for wiring, 1400 hours for drilling and 1100 hours for Assembly. Make sure that the units produced are integers. Solve for the above problem.
a) How many units of each product will be made?
b) What is the maximum profit?
c) Which input has the most amount of slack?

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Definitions:

Colonial War

A conflict between colonial powers and native populations or between two colonial powers, often for control of territories or resources.

Post-imperial Conflict

Conflicts or tensions that arise after the dissolution or decline of an empire, often concerning former colonies or territories.

Civil War

A war between factions or regions within the same country, often characterized by internal conflict over political, social, or economic issues.

Public Opinion

The aggregate of individual attitudes or beliefs held by the adult population on any given issue or topic.