Select the Region Determined by the Constraints

question 15

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 = 8x + 7y
​
Constraints:
​
X ≥ 0
Y ≥ 0
2x + 2y ≥ 10
X + 2y ≥ 6
​

• A)​ Maximum at (0,5): 35
• B)​ Maximum at (5,0): 36
• C)​ Maximum at (6,0): 48
• D)​ Maximum at (4,1): 39
• E)​ No maximum

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Definitions:

Ordering Costs

The expenses incurred from the procurement process, which may include supplier selection, purchase orders, and handling charges, aiming to manage supply chain efficiencies.

Carrying Costs

Expenses associated with holding inventory, including storage, insurance, and taxes.

Inventory Policy

Guidelines that govern how inventory is controlled and managed, including methods for ordering, storing, and using inventory.

Gadgets

Small mechanical or electronic devices or tools, often novel or ingeniously designed, used for specific practical purposes.