Use Graphical Methods to Solve the Linear Programming Problem

question 24

Multiple Choice

Use graphical methods to solve the linear programming problem.
-Maximize z = 8x + 12y subject to:
40x + 80y ≤ 560
6x + 8y ≤ 72
x ≥ 0
Y ≥ 0

• A)Maximum of 100 when x = 8 and y = 3
• B)Maximum of 96 when x = 9 and y = 2
• C)Maximum of 120 when x = 3 and y = 8
• D)Maximum of 92 when x = 4 and y = 5

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Definitions:

Command System

A type of economic system where production, investment, prices, and incomes are determined centrally by a government.

Laissez-Faire Capitalism

An economic system where private parties are free to conduct business transactions with minimal government intervention or regulation.

Division of Output

The allocation of the total quantity of goods or services produced among various consumers or markets.

Central Planning

An economic system where the government makes all decisions on the production and distribution of goods and services.