SOLUTION: A primitive economy depends on two basic goods, yams and pork. Production of 1 bushel of yams requires 1/5 bushel of yams and 1/3 of a pig. To produce 1 pig requires 1/2 bushel of

Algebra ->  Matrices-and-determiminant -> SOLUTION: A primitive economy depends on two basic goods, yams and pork. Production of 1 bushel of yams requires 1/5 bushel of yams and 1/3 of a pig. To produce 1 pig requires 1/2 bushel of       Log On


   



Question 1048369: A primitive economy depends on two basic goods, yams and pork. Production of 1 bushel of yams requires 1/5 bushel of yams and 1/3 of a pig. To produce 1 pig requires 1/2 bushel of yams. Find the amount of each commodity that should be produced to get 300 bushels of yams and 70 pigs.
Answer by jorel555(1290) About Me  (Show Source):
You can put this solution on YOUR website!
Let y represent yams, and p be for pigs. Then:
300(y/5+p/3)+70(y/2)=n
60y+100p+35y=n
n=95y+100p
The economy needs 95 bushels of yams and 100 pigs to meet its production goals. ☺☺☺☺