Find the Maximum Value of the Objective Function and Where

question 39

Multiple Choice

Find the maximum value of the objective function and where it occurs,subject to the constraints: ​
Objective function:
​
Z = 7x + y
​
Constraints:
​
X ≥ 0
Y ≥ 0
3x + y ≤ 15
4x + 3y ≤ 30
​

• A)Maximum at (0,0): 0
• B)Maximum at (5,0): 35
• C)Maximum at (0,6): 46
• D)Maximum at (6,3): 45
• E)Maximum at (3,0): 21

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Definitions:

Capital Stock

Capital stock represents the sum of all physical and financial assets owned by a company or country, used to facilitate production and operations.

Depreciation

The method of allocating the cost of a tangible asset over its useful life, representing how much of an asset's value has been used up.

Gross Investment

The total amount of money spent on capital goods over a specific time period without accounting for depreciation.

Disposable Income

Income that is available to households after paying taxes and receiving government transfers, used for spending or saving.