An apple farm yields an average of 38 bushels of apples per tree when 20 trees...
Appplications of differentiation If 30 apple trees are planted in a fixed area of land, each tree yields 400 apples on average. The yield will decrease about 10 apples per tree for each additional tree planted in the land. How many trees should be planted for maximum total yield? Justify your result.
1.Find the equation of the tangent line to ? = √3? + 1 at the point ? = 1 in the form ? = ? + ??. 2. The owner of an apple orchard estimates that if 24 trees are planted per acre, then each mature tree will yield 600 apples per year. For each additional tree planted per acre, the number of apples produced by each tree decreases by 12 per year. How many trees should be planted per...
A study of 55 apple trees showed that the average number of apples per tree was 725. The standard deviation of the population is 100. Which of the following is the confidence interval for the mean number of apples per tree for all trees?
A commercial cherry grower estimates from past records that if 25 trees are planted per acre, then each tree will yield an average of 37 pounds of cherries per season. If, for each additional tree planted per acre (up to 22), the average yield per trae is reduced by 1 pound, how many trees should be planted per acre to obtain the maximum yield per acre? What is the maximum yield? pounds, trees should be planted per In order to...
Farmer Hoglund has discovered that on his farm, he can get 30 bushels of corn per acre if he applies no fertilizer. When he applies N pounds of fertilizer to an acre of land, the marginal product of fertilizer is 1 − N/200 bushels of corn per pound of fertilizer. (a) If the price of corn is $3 a bushel and the price of fertilizer is $p per pound (where p < 3), how many pounds of fertilizer should he...
Let ?? be the average yield in bushels per acre of variety i of corn, i = 1, 2, 3, 4. In order to test the hypothesis ?0: ?1 = ?2 = ?3 = ?4 at the 5% significance level, four test plots for each of the four varieties of corn are planted. Determine whether we accept or reject ?0 if the yield in bushels per acre of the four varieties of corn are, respectively, as follows: ?1: 158,167,164 ?2:...
A farm has rectangular shape as in following figure, where measurement shown that H = (150+N) m and W (250+N) m. The farm owner wants to grow olive trees in his farm. He decided to plant each olive tree with 3+N m2 space. Approximately, what is the maximum number of olive trees that can be planted in the farm? Discuss your solution(s). a) b) Suppose that the annual profit (in dollars) per olive tree follows the following function: Potirve (s)...
Washington can grow 1 grape or 26 apple bushels per acre and California can grow 20 of either. For Washington to grow one grape, it must give up _26_ apples. For California to grow one grape, it must give up _1_ apple. The absolute advantage in apple production is had by: Washington The absolute advantage in grape production is had by: California The comparative advantage in apple production is had by: Washington The comparative advantage in grape production is had...
Please answer all 3 will thumbs up. An apple grower finds that if she plants 40 trees per acre, each tree will yield 150 bushels of apples. She also estimates that for each additional tree that she plants per acre, the yield of each tree will decrease by 3 bushels. How many trees should she plant per acre to maximize her harvest? 5 Xtrees per acre Need Help? Submit Answer The demand function for beer is given below, where p...
P AY AND P ERFORMANCE AT Y AKIMA V ALLEY O RCHARDS The state of Washington is well known for its apples. East of the Cascade Mountains, dry air and plentiful groundwater make for perfect apple-growing conditions. In 2006, the state shipped more than 92 million boxes of apples to buyers worldwide. Apple-growing is a labor-intensive process. Trees must be pruned (usually in the off-season), harvested (when apples are ripe, usually in early fall), and thinned. Apple tree thinning is...