Question

An apple grower finds that if he plants 80 trees per acre, each tree will yield 26 bushels of fruit. He estimates that for each additional tree planted per acre, the yield of each tree will decrease by 4 bushels. Given a price of $1.00 per bushel, find the maximum revenue and how many trees should he plant per acre to maximize her harvest?

choices

36 trees per acre, max revenue of $7,480

37 trees per acre, max revenue of $7,482

43 trees per acre, max revenue of $7,482

44 trees per acre, max revenue of $7,480

Answer 1

x=number of an additional tree planted per acre

so revenue function is given by

compare with

x-coordinate of the vertex is

.

so the quantity of a tree is

trees per acre

.

.

.

put

........max revenue

.

.

so the third option is correct

43 trees per acre, max revenue of $7,482