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FinFone Paper Mill Is a Small-Scale Paper-Making Company Which Produces

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Essay

FinFone Paper Mill is a small-scale paper-making company which produces four different types of paper. Each type of paper must go through processing on four different machines. The manufacturing time (in minutes) per unit of paper produced is listed in the following table. Time required (in minutes)
Paper Type
 Machine Type  A  B  C  D 12.41.22.73.222.12.43.23.331.60.92.65.142.52.53.26.5\begin{array}{ccccc}\text { Machine Type } & \text { A } & \text { B } & \text { C } & \text { D } \\\hline 1 & 2.4 & 1.2 & 2.7 & 3.2 \\2 & 2.1 & 2.4 & 3.2 & 3.3 \\3 & 1.6 & 0.9 & 2.6 & 5.1 \\4 & 2.5 & 2.5 & 3.2 & 6.5\end{array}
The maximum time allotted for each machine is 30 hours per week and at least 100 units of each type of paper should be made during the week.
Profit per unit is:  Paper Type  A  B  C  D  Profit ($)0.250.320.440.5\begin{array} { l c c c c } \text { Paper Type } & \text { A } & \text { B } & \text { C } & \text { D } \\\hline \text { Profit } ( \$ ) & 0.25 & 0.32 & 0.44 & 0.5\end{array}
Develop and solve an all-integer model that will determine, using the available machine time, the number of units of each paper type to be produced in order to meet the weekly demand and to maximize the profit.

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Definitions:

Factory Labor Costs

Expenses associated with employing workers in a manufacturing facility, including wages, benefits, and other related costs.

Pension Costs

Expenses related to retirement plans funded by an employer for the benefit of employees.

Vacation Pay

Compensation that employers must pay employees for their time off work, as determined by company policy or legal requirements.

Work In Process Inventory

The total value of unfinished goods that are in various stages of production within a company.

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