Given the Following Linear Program The Graphical Solution to the Problem Is Shown Below

question 60

Essay

Given the following linear program:
$$\begin{array} { l r } \operatorname { Max } & 5 x _ { 1 } + 7 x _ { 2 } \\\text { s.t. }& x _ { 1 } \leq 6 \\ & 2 x _ { 1 } + 3 x _ { 2 } \leq 19 \\& x _ { 1 } + x _ { 2 } \leq 8 \\& x _ { 1 } , x _ { 2 } \geq 0\end{array}$$
The graphical solution to the problem is shown below.From the graph we see that the optimal solution occurs at x₁ = 5,x₂ = 3,and obj.func.= 46.
a.Calculate the range of optimality for each objective function coefficient.
b.Calculate the dual price for each resource.

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Definitions:

Consolidation Worksheet

A tool used in the preparation of consolidated financial statements to combine the financial information of a parent company and its subsidiaries.

Non-controlling Interest

The portion of equity interest in a subsidiary not held by the parent company.

Equity Accounts

Accounts that represent the owner's interest in the assets of a company, after deducting liabilities, commonly consisting of stock and retained earnings.

Non-controlling Interests

A minority stake in a company held by investors who do not have a controlling interest or majority of the voting rights.