The Linear Programming Problem Has an Unusual Characteristic

question 108

Multiple Choice

The linear programming problem has an unusual characteristic.Select a graph of the solution region for the problem and describe the unusual characteristic.Find the maximum value of the objective function (if possible) and where it occurs. ​
Objective function:
​
​
Z = -x + 3y
​
Constraints:
​
X ≥ 0
Y ≥ 0
X ≤ 10
X + y ≤ 7
​

• A) The constraint x ≤ 10 is extraneous. Maximum at (0, 7): 21
• B)​ The constraint x ≤ 10 is extraneous. Maximum at (7, 7): 14
• C) The constraint x ≤ 10 is extraneous. Maximum at (7,0): -7
• D)​ The constraint x ≤ 10 is extraneous. Maximum at (0, 0): 0
• E) The constraint x ≤ 10 is extraneous. No maximum.

Acknowledge the role of governmental and non-governmental entities in urban planning and sprawl management.

Understand the principles of new urbanism in promoting sustainable urban design.

Evaluate the role of migration, both domestic and international, in shaping urban demographics and infrastructure demands.

Understand the impact of FIFO and LIFO inventory methods on net income and gross profit.

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Definitions:

Current Account Deficit

A situation where a country's total imports of goods, services, and transfers exceed its total exports, indicating it is spending more abroad than it is earning.

Financial Accounts Surplus

A situation where the inflows of foreign investment into a country exceed the outflows of domestic investment abroad, reflecting a net increase in ownership of foreign assets.

Depreciates

The process by which an asset loses value over time, often due to wear and tear or market conditions.

Foreign Exchange Market

A global marketplace for exchanging national currencies against one another.