Portions of a Management Scientist Output Are Shown Below

question 42

Essay

Portions of a Management Scientist output are shown below. Use what you know about the solution of linear programs to fill in the ten blanks.
LINEAR PROGRAMMING PROBLEM
MAX
12X1+9X2+7X3
S.T.
1) 3X1+5X2+4X3<150
2) 2X1+1X2+1X3<64
3) 1X1+2X2+1X3<80
4) 2X1+4X2+3X3>116
OPTIMAL SOLUTION
Objective Function Value = 336.000 $$\begin{array} { c c c } \text { Variable } & \text { Value } & \text { Reduced Cost } \\\text { X1 } &- & 0.000 \\\text { X2 } &24.000&- \\\text { X3 } &- &3.500 \\\hline\end{array}$$ $$\begin{array} { c c c } \text { Constraint } & \text { Slack/Surplus } & \text { Dual Price } \\\hline 1 & 0.000 & 15.000 \\2 & --& 0.000 \\3 & --& 0.000 \\4 & 0.000 &-- \\\hline\end{array}$$ $\text { OBJECTIVE COEFFICIENT RANGES }$
$\begin{array}{cccc}\text { Variable } & \text { Lower Limit } & \text { Current Value } & \text { Upper Limit }\\\hline\mathrm{X} 1 & 5.400 & 12.000 & \text { No Upper Limit } \\\mathrm{X} 2 & 2.000 & 9.000 & 20.000 \\\mathrm{X} 3 & \text { No Lower Limit } & 7.000 & 10.500\end{array}$
$\text { RIGHT HAND SIDE RANGES }$
$\begin{array}{lllr}\text { Constraint } & \text { Lower Limit }& \text { Current Value } & \text { Upper Limit }\\\hline1 & 145.000 & 150.000 & 156.667 \\2 &- &- & 64.000 \\3 & -&-& 80.000 \\4 &110.286 &116.000& 120.000\end{array}$

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Definitions:

Bent Lug Stud

A damaged or misshapen lug stud, which is a bolt that is used to secure the wheel to the vehicle's hub.

Payback Method

This capital budgeting method calculates the time taken for an investment to generate cash flows to recover the initial capital outlay.

Time Value

The notion that money possessed today is more valuable than the same quantity in the future due to its potential to earn income.

Accounting Data

Financial information and records about a company's transactions used for reporting and analysis.