Question

Stella’s farm consists of 240 acres upon which she wishes to plant pumpkins and squash.
The profit per acre for pumpkin is $400, and the profit per acre for squash is $300. The
number of hours of labor available is 3,200. Each acre of pumpkin requires 20 hours of
labor, and each acre of squash requires 10 hours of labor. Determine how the land
should be divided between pumpkin and squash in order to maximize profit.

Answer 1

The profit is maximized whenn 80 acres of pumpkin and 160 acres of squash is cultivated to make $80000.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the number of pumpkin acre and y represent the number of squash acre, hence:

x + y ≤ 240  (1)

Also:

20x + 10y ≤ 3200 (2)

The solution is at x = 80, y = 160

Maximum profit = 400x + 300y = 400(80) + 300(160) = $80000

The profit is maximized whenn 80 acres of pumpkin and 160 acres of squash is cultivated to make $80000.

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