Select the Region Determined by the Constraints

question 44

Multiple Choice

Select the region determined by the constraints.Then find the maximum value of the objective function (if possible) and where it occurs,subject to the indicated constraints. ​
Objective function:
​
Z = 3x + 2y
​
Constraints:
​
X ≥ 0
​y ≥ 0
5x + 2y ≤ 20
5x + y ≥ 10
​
​

• A) Maximum at (0,10): 20
• B) Maximum at (2,0): 6
• C)​ Maximum at (10,0): 13
• D)​ Maximum at (0,4): 7
• E)​ Maximum at (4,0): 12

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Definitions:

Selling Price

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Marked Down

A reduction in the price of an item or product to encourage sale.

Marked Down

A reduction in the original selling price of goods, often to clear old stock or boost sales.

Clearance Sale

A sale event to clear out inventory, often featuring significant reductions in prices to encourage quick sales.