A commercial cherry growers estimates from past records that if 55 trees are pla

Question

A commercial cherry growers estimates from past records that if 55 trees are planted per acre, each tree will yield 33 kilograms of cherries for a growing season. Each additional tree per acre (up to 20) results in a decrease yield of 1kg. How many trees per acre should be planted to maximize yield per acre and what is the maximum yield?

Previous Prob Problem List Next Problem (15 points) A commercial cherry grower estimates from past records that if 55 trees are planted per acre, each tree will yield 33 kilograms of cherries for a growing season. Each additional tree per acre (up decrease in yield per tree of 1 kg. How many trees per acre should be planted to maximize yield per acre and what is the maximum yield? to 20) results in a Number of Trees per acre- kg Maximum Yield = acre Note: You can earn partial credit on this problenm. Preview My Answers Submit Answers Show me another You have attempted this problem 0 times acer

Explanation / Answer

R(x)= (55+x)(33-x) -x2-22x+1815

R'(x) =-2x-22

R'(x)=-2x-22=0

x=-11

Number of trees = 55-11=44

Maximum yield,R(-11)= -(-11)2-22(-11)+1815 =1936kg/acre

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