Question

There are 150 acres of land available to raise apples and beets. It takes one day to trim an acre of apples and two days to trim an acre of beets, and there are 240 days per year available for trimming, it takes 0.3 day to pick apples and o.1 day to pick beets, and there are 30 days per year available for picking Find the number of acres of each crop that should be planted to maximize profit, assuming that the profit is $140 per acre for apples and $295 per acre for beets.

Answer 1

Answer: Given data: Total Land available = 150 acres Let Xi is the acoes the formen plant apples actes it cultivates beets "X" is the The objective is to maximize the profit, por acde Paofit of Applc = 1401–00) $140 per acte profit of bot = $235. The Function is, | $140821 + $235xx2 maumze Z = $ 140XXit $ 135XX Two days to thim bects and the available day = 240/year Xit2x2 <=240

It takes 0.3 days to pick apples and al ③ days to pick beets and total available =30 days year So, 0.3%, tool 82 <=30 The linear program is Maximize z = $1408x + $235 X X 124 + 2x2 <=240 0. 3xito. 1X2 L=30 X, X2>=0