Jackson Farms Have Allotted a Certain Amount of Land for Cultivating

question 165

Essay

Jackson Farms have allotted a certain amount of land for cultivating soybeans, corn, and wheat. Cultivating 1 acre of soybeans requires 4 labor-hours, and cultivating 1 acre of corn or wheat requires 7 labor-hours. The cost of seeds for 1 acre of soybeans is $12, for 1 acre of corn is $21, and for 1 acre of wheat is $9. If all resources are to be used, how many acres of each crop should be cultivated if the following hold?
​
1,200 acres of land are allotted, 7,200 labor-hours are available, and $19,200 is available for seeds.
​
acres of soybean: __________
​
acres of corn: __________
​
acres of wheat: __________

---

Definitions:

Gender Identity

An individual's personal sense of their own gender, which may or may not correspond to the sex assigned at birth.

Society

An organized group of individuals sharing a common culture, territory, and social institutions, which guide human behavior and interactions.

Male

Refers to the biological sex characterized by the production of small, motile gametes, typically associated with the XY chromosome pair in humans.

Female

Relating to the sex that typically has the capacity for egg production in the context of reproductive roles.