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 oli...
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) 200- 20 with s is the area allocated to each olive tree in m The farm owner wants to maximize his annual profit by planting more trees with less space or by planting less trees with more space. Find the optimal area that should be allocated to each olive tree to get the highest total profit. Discuss your solution(s). c) For every 1000 trees, the farm owner will need to hire 1 worker, and the annual payment for 1 worker is 10000$. Find the optimal area should be allocated to each tree to get the highest total profit considering the labour cost. Discuss your solution(s d) Assume now that the area reserved for each olive tree is a circle (with the tree in its center i. The farm owner decided to plant each olive tree with 3+N m2 space. Approximately, what is the maximum number of olive trees that can be planted in the farm? Find the best accurate answer possible. Discuss your solution(s). ii. Given the above function Polive (s), find the area that should be allocated to eacth olive tree to get the highest total profit. Find the best accurate answer possible. Discuss your solution(s).
A farm has rectangular shape as in following figure, where measurement shown that H = (150+N) m and W (250+N) m. The farm owner wants to grow olive trees in his farm. He decided to plant each olive tree with 3+N m2 space. Approximately, what is the maximum number of olive trees that can be planted in the farm? Discuss your solution(s). a) b) Suppose that the annual profit (in dollars) per olive tree follows the following function: Potirve (s) 200- 20 with s is the area allocated to each olive tree in m The farm owner wants to maximize his annual profit by planting more trees with less space or by planting less trees with more space. Find the optimal area that should be allocated to each olive tree to get the highest total profit. Discuss your solution(s). c) For every 1000 trees, the farm owner will need to hire 1 worker, and the annual payment for 1 worker is 10000$. Find the optimal area should be allocated to each tree to get the highest total profit considering the labour cost. Discuss your solution(s d) Assume now that the area reserved for each olive tree is a circle (with the tree in its center i. The farm owner 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? Find the best accurate answer possible. Discuss your solution(s). ii. Given the above function Polive (s), find the area that should be allocated to eacth olive tree to get the highest total profit. Find the best accurate answer possible. Discuss your solution(s).