The country of Alabas\'s primary enemy is the heavily armed and aggressive count

Question

The country of Alabas's primary enemy is the heavily armed and aggressive country of Sabala. A concrete wall build around its borders can provide national defense for Alabas. The demand for protection from Sabala comes from three distinct groups, each with 100 members. The marginal annual values placed on protection by typical individual members of each group are:

MV1= 200 - .1W

MV2= 150 - .2W

MV3= 100 - .5W

Where W is the height of the concrete wall measured in feet. The cost of Alabas's protective wall is $37,000 per foot of height for concrete and labor. It is crumbly concrete, so the wall must be rebuilt every year!

What is the optimal height of the wall?

Explanation / Answer

The country of Alabas's primary enemy is the heavily armed and aggressive count

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