The Byte Computer Company Produces Two Models of Computers, Plain

question 25

Essay

The Byte computer company produces two models of computers, Plain and Fancy. It wants to plan how many computers to produce next month to maximize profits. Producing these computers requires wiring, assembly and inspection time. Each computer produces a certain level of profits but faces a limited demand. There are a limited number of wiring, assembly and inspection hours available next month. The data for this problem is summarized in the following table.
$\begin{array} { l c c c c c } &&\text { Maximum } &&\text { Assembly }&\text { Inspection } \\\text { Computer } &\text { Profit per }&\text { demand for }&\text { Wiring Hours } &\text { Hours } &\text { Hours } \\\text { Model }&\text { Model (\$)}&\text { product }&\text { Required }&\text { Required }&\text { Required }\\\hline \text { Plain } & 30 & 80 & .4 & .5 & .2 \\\text { Fancy } & 40 & 90 & .5 & .4 & .3 \\\hline & & \text { Hours Available } & 50 & 50 & 22\end{array}$

a.
Formulate the LP model for this problem.
b.
Solve the problem using the graphical method.

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Definitions:

Product Delivery

The process of moving goods from the production location to the place where they will be used or consumed.

Informal Learning

An unstructured and non-institutionalized form of learning that occurs in various contexts outside of a formal educational environment, often resulting from daily activities related to work, family, or leisure.

Departmentalisation

Departmentalisation is the process of grouping together people and jobs into work units.