Consider the Following Linear Program, Which Maximizes Profit for Two

question 85

Short Answer

Consider the following linear program, which maximizes profit for two products--regular (R) and super (S):
MAX 50R + 75S
s.t.
   1.2 R + 1.6 S ? 600 assembly (hours)
   0.8 R + 0.5 S ? 300 paint (hours)
.   16 R + 0.4 S ? 100 inspection (hours)
Sensitivity Report:
$\begin{array}{ccccccc}\text { Cell } & \text { Name } & \begin{array}{c}\text { Final } \\\text { Value }\end{array} & \begin{array}{c}\text { Reduced } \\\text { Cost }\end{array} & \begin{array}{c}\text { Objective } \\\text { Coefficient }\end{array} & \begin{array}{c}\text { Allowable } \\\text { Increase }\end{array} & \begin{array}{c}\text { Allowable } \\\text { Decrease }\end{array} \\\hline \$ \mathrm{~B} \$ 7 & \text { Regular }= & 291.67 & 0.00 & 50 & 70 & 20 \\\hline \text { \$C } \$ 7 & \text { Super }= & 133.33 & 0.00 & 75 & 50 & 43.75 \\\hline\end{array}$



$\begin{array}{llrccc}\text { Cell } \quad \text { Name } & \begin{array}{c}\text { Final } \\\text { Value }\end{array} & \begin{array}{c}\text { Shadow } \\\text { Price }\end{array} & \begin{array}{c}\text { Constraint } \\\text { R.H. Side }\end{array} & \begin{array}{c}\text { Allowable } \\\text { Increase }\end{array} & \begin{array}{c}\text { Allowable } \\\text { Decrease }\end{array} \\\hline \$ \mathrm{E} \$ 3 \text { Assembly (hr/unit) } & 563.33 & 0.0 \mathrm{C} & 600 & 1 \$\mathrm{E}+30 & 36.67 \\\hline \$\mathrm{E} \$ 4 \text { Paint (hr/unit) } & 300.00 & 33.33 & 300 & 39.29 & 175 \\\hline \$\mathrm{E} \$ 5 \text { Inspect (hr/unit) } & 100.00 & 145.83 & 100 & 12.94 & 40\end{array}$
-A change in the market has increased the profit on the super product by $5. Total profit will increase by ________.

Understand the development of agricultural policies and their effects on U.S. economy.

Identify the causes and consequences of the Great Depression and other economic downturns.

Understand the evolution of the U.S. as an industrial and economic power globally.

Understand the economic trends and job growth patterns since the millennium.

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