college algebra

Question

A farming family owns 240 acres of cropland. They can use their land to produce corn and soybeans. A total of 320 labor hours is available to them during the production season of both commodities. Each acre for corn production requires 2 hours of labor, and each acre of soybean production requires 1 hour of labor. The profit per acre in corn production is $50, and the profit per acre in soybean production is $40

Answer 1

2C + S = 320 = total labor hours

C + S = 240 = total acres, subtract to get

C = 80 corn acres with 2(80) = 160 labor hours

S = 240-80= 160 soybean acres with 1(160) = 160 labor hours

50C+40S = 50(80) +40(160) = 4000+6400 = $10,400 = maximum profit