Find the Minimum Value of the Objective Function and Where

question 41

Multiple Choice

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

• A)Minimum at (3,0): 12
• B)Minimum at (0,6): 28
• C)Minimum at (3,6): 18
• D)Minimum at (0,0): 0
• E)Minimum at (6,3): 27

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Definitions:

Effective Rate

The actual interest rate an individual pays or earns on a loan or investment, taking into account the effects of compounding.

Compounded Semiannually

Refers to the process of calculating and adding interest to the principal balance of an investment or loan twice a year.

Strip Bond

A fixed-income security derived from the separation of the coupons from the principal of a bond, which are then sold separately as zero-coupon bonds.

Compounded Semiannually

A method of calculating interest where the accrued interest is added to the principal sum and interest is then calculated on the new total twice a year.