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:

Alertness

The ability some people have to identify opportunities.

Social Life

The part of an individual's time that is spent engaging with others, often in leisure activities.

Opportunities Exist

Refers to the presence of chances or situations favorable for achieving certain goals or starting new ventures.

Independent Of Entrepreneurs

Describes concepts, processes, or entities that operate or exist separately and not contingent on the actions or existence of entrepreneurs.