Question

Rienzi Farms grows sugar cane and soybeans on its 600 acres of land. An acre of soybeans requires 3 hours to plant and brings in a $1000 profit. An acre of sugar cane requires 4 hours to plant and brings a $2000 profit. It is legally required that no more than 300 acres of soybeans may be planted. Given a total of 1600 hours of planting time available, what is the maximum profit the company can reach?

Answer 1

133 acres of sugar cane

and 300 of soybean provide a profit of $ 733,000

Step-by-step explanation:

We setup the fromulas and use excel solver:

labor hours: 3 x sugar acres + 4 x soybean <= 1,600

profit = 1,000 x sugar acres + 2,000 soybean

with the restriction soybean <= 300

SOLVER

acres hours PROFIT

sugar cane 133 x 3 = 399 x 1,000 = 133,000

soybeans 300 x 4 = 1,200 x 2,000 = 600,000

TOTAL 733,000