1. Minimize K= 2×2+2y2 subject to 4x+y=12 (Pease give EXACT values; no decimal answers). The minimum value is _______, and it occurs when x= ________ and y=_________ 2. I would like to create a rectangular vegetable patch. The fencing for the east and west sides costs $4 per foot, and the fencing for the north and south sides costs only $2 per foot. I have a budget of $160 for the project. What are the dimensions of the vegetable patch with the largest area I can enclose? north and south sides: ________ feet east and west sides: _________ feet Amount of maximum area: __________ 3. An apple farm yields an average of 35 bushels of apples per tree when 29 trees are planted on an acre of ground. Each time 1 more tree is planted per acre, the yield decreases by 1 bushel per tree as a result of crowding. How many trees should be planted on each acre in order to get the highest yield?
1. Minimize K= 2x2+2y2 subject to 4x+y=12 (Pease give EXACT values; no decimal
answers).
The minimum value is _______, and it occurs when x= ________ and y=_________
2. I would like to create a rectangular vegetable patch. The fencing for the east and west sides costs $4 per foot, and the fencing for the north and south sides costs only $2 per foot. I have a budget of $160 for the project. What are the dimensions of the vegetable patch with the largest area I can enclose?
north and south sides: ________ feet
east and west sides: _________ feet
Amount of maximum area: __________
3. An apple farm yields an average of 35 bushels of apples per tree when 29 trees are planted on an acre of ground. Each time 1 more tree is planted per acre, the yield decreases by 1 bushel per tree as a result of crowding. How many trees should be planted on each acre in order to get the highest yield?
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