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 Find the maximum value of Q(x) subject to the constraint xTx=1\text { Find the maximum value of } Q ( x ) \text { subject to the constraint } _x T _ { x = 1 } \text {. }

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 Find the maximum value of Q(x)  subject to the constraint xTx=1\text { Find the maximum value of } Q ( x ) \text { subject to the constraint } _x T _ { x = 1 } \text {. }
- Q(x) =14x12+14x22+18x23+26x1x2+18x1x3+18x2x3Q ( x ) = 14 x _ { 1 } ^ { 2 } + 14 x _ { 2 } ^ { 2 } + 18x \frac { 2 } { 3 } + 26 x _ { 1 } x _ { 2 } + 18 x _ { 1 } x _ { 3 } + 18 x _ { 2 } x _ { 3 }


Definitions:

Cost of Goods Sold

This term refers to the direct costs attributable to the production of the goods sold by a company, including the cost of materials and labor.

Perpetual Inventory

An inventory management system where updates are made continuously to record sales and purchases, providing a real-time view of inventory levels.

Purchase Price

The amount of money paid or agreed to be paid by the buyer to acquire an asset, product, or service from a seller.

Purchase Discounts

Purchase discounts are reductions in price given by the supplier to the buyer for early payment or payment within a specified period.

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