A farmer has 1100 acres of land and plans to plant corn and soybeans. The input cost (cost of seed, fertilizer, herbicide, and insecticide) for 1 acre for each crop is given in the table along with the cost of machinery and labor. The profit for 1 acre of each crop is given in the last column. Profit per Acre $120 $100 Suppose the farmer has budgeted a maximum of $180,000 for input costs and a maximum of $104,000 for labor and machinery. Corn Soybeans Part: 0 / 3 Part 1 of 3 Input Cost Labor/Machinery per Acre Cost per Acre $180 $80 $120 $100 (a) Determine the number of acres of each crop that the farmer should plant to maximize profit. (Assume that all crops will be sold.) The farmer should plant acres of corn and acres of soybeans. X S
A farmer has 1100 acres of land and plans to plant corn and soybeans. The input cost (cost of seed, fertilizer, herbicide, and insecticide) for 1 acre for each crop is given in the table along with the cost of machinery and labor. The profit for 1 acre of each crop is given in the last column. Profit per Acre $120 $100 Suppose the farmer has budgeted a maximum of $180,000 for input costs and a maximum of $104,000 for labor and machinery. Corn Soybeans Part: 0 / 3 Part 1 of 3 Input Cost Labor/Machinery per Acre Cost per Acre $180 $80 $120 $100 (a) Determine the number of acres of each crop that the farmer should plant to maximize profit. (Assume that all crops will be sold.) The farmer should plant acres of corn and acres of soybeans. X S
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:A farmer has 1100 acres of land and plans to plant corn and soybeans. The input cost (cost of seed, fertilizer, herbicide, and insecticide) for 1
acre for each crop is given in the table along with the cost of machinery and labor. The profit for 1 acre of each crop is given in the last
column.
Profit per
Acre
$120
$100
Suppose the farmer has budgeted a maximum of $180,000 for input costs and a maximum of $104,000 for labor and machinery.
Corn
Soybeans
Part: 0 / 3
Part 1 of 3
Input Cost Labor/Machinery
Cost per Acre
per Acre
$180
$80
$120
$100
(a) Determine the number of acres of each crop that the farmer should plant to maximize profit. (Assume that all crops will be sold.)
The farmer should plant
acres of corn and
acres of soybeans.
X
O
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