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

question 70

Essay

A company has the following usage of inputs, constraints on inputs and profit margins to make their three products.
$$\begin{array} { l l l l l } \text { Product } & \text { Wiring } & \text { Drilling } & \text { Assembly } & \text { Profit } \\\text { X202 } & 0.6 & 0.41 & 0.8 & 14 \\\text { Y303 } & 0.1 & 0.57 & 0.47 & 9.75 \\\text { Z404 } & 0.35 & 0.3 & 0.26 & 12.25\end{array}$$ There are maximum amounts of the following: 1625 hours for wiring, 1750 hours for drilling and 1175 hours for Assembly. Make sure that the units produced are integers. Solve for the above problem. The company must make at least 700 X202, 600 Y303 and 500 Z404.
a) How many units of each product will be made?
b) What is the maximum profit?
c) Which input has the least amount of slack?

---

Definitions:

Coleading

The practice of two or more individuals jointly leading or facilitating a group, meeting, or project.

Laboratory Groups

Controlled environments designed for research, experiments, or practice, typically within a field of psychology or the social sciences.

Critiquing

Critiquing refers to the practice of analyzing and evaluating something critically, often to identify its strengths and weaknesses or to provide constructive feedback.

Laissez-faire

An economic philosophy of free-market capitalism that opposes government intervention.