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

Answer:

133 acres of sugar cane

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

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