Find the Minimum Value of the Objective Function and Where $$\left( 0 , \frac { 19 } { 6 } \right)$$

question 40

Multiple Choice

Find the minimum value of the objective function and where it occurs,subject to the constraints: ?
Objective function:
?
Z = 4x + 16y
?
Constraints:
?
X ? 0
Y ? 0
X + 4y ? 20
X + y ? 18
?2x + 2y ? 21
?

• A)Minimum at \[\left( 0 , \frac { 19 } { 6 } \right)\] : \[\frac { 152 } { 3 }\]
• B)Minimum at \(\left( \frac { 22 } { 3 } , 0 \right)\) : \(\frac { 88 } { 3 }\)
• C)Minimum at (0,0): 0
• D)Minimum at \(\left( \frac { 22 } { 3 } , \frac { 19 } { 6 } \right)\) : 80
• E)No minimum

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Definitions:

Weighted-Average Method

An accounting method used in inventory valuation or cost accounting that averages the costs of all goods available for sale based on their weights.

FIFO Method

Accounting approach where the first goods purchased or produced are the first ones removed from inventory and reported as cost of goods sold.

Cost Reconciliation

The process of checking and ensuring that the accounting records regarding costs correspond with the actual expenses incurred.

Units Transferred

The quantity of items moved from one stage of production to another, or from the production department to finished goods inventory.