Irrigation improves the yield of strawberries per acre (measured in pints) according to the fucntion S= -(w-2)^2 + 50 where S is the number of pints of strawberries grown per acre and W is acre acre feet of water used. strawberries sell for $4 per pint and water costs $6 per acre foot.
A) given an intuitive explanation of the yield function.
B) graph the yield function
C) how much should the farmer irrigate in order to maximaize yield?
D)how much should the farmer irrigate in order to maximaize profits?
E) show that the second order conditions for maximum hold at this level of irrigation?