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Optimization Problems-problems-1

Optimization Problems-problems-1 - handa(nh5757...

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handa (nh5757) – Optimization Problems – bormashenko – (54880) 1 This print-out should have 11 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0points A rectangle is inscribed in an equilateral triangle so that one side of the rectangle lies on the base of the triangle. Find the maximum area the rectangle can have when the triangle has side length 12 inches. 1. max. area = 18 sq. inches 2. max. area = 18 3 sq. inches 3. max. area = 36 3 sq. inches 4. max. area = 9 3 sq. inches 5. max. area = 9 sq. inches 6. max. area = 36 sq. inches 002 10.0points A homeowner wants to build a fence to enclose a 320 square yard rectangular area in his backyard. Along one side the fence is to be made of heavy-duty material costing $9 per yard, while the material along the remaining three sides costs $1 per yard. Determine the least cost to the homeowner. 1. least cost = $145 2. least cost = $155 3. least cost = $165 4. least cost = $150 5. least cost = $160 003 10.0points If P ( x, y ) is a point on the line 3 x + y = 2
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