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Evaluate the Double Integral R(1+2x+8y)dA\iint _ { R } ( 1 + 2 x + 8 y ) d A

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Evaluate the double integral R(1+2x+8y)dA\iint _ { R } ( 1 + 2 x + 8 y ) d A , where R={(x,y)0y1,yx3y}.R = \{ ( x , y ) \mid 0 \leq y \leq 1 , y \leq x \leq 3 y \} .

Understand the principles and methods of cost allocation for different products and services.
Analyze and calculate the full cost per product using variable and fixed overhead rates.
Evaluate the impact of cost allocation methods on profit maximization.
Apply cost allocation concepts to scenario-based decision-making.

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