Find the possible number of batches of each product that can be made such that all of the available materials are used up.
1) Nutrina Feeds manufactures the dog foods RUFF, FLUFF, and PROWL from a blend of wheat and soybeans. A batch of RUFF uses 1000 pounds of wheat and 3000 pounds of soybeans; a batch of FLUFF uses 2000 pounds of wheat and 7000 pounds of soybeans; and a batch of PROWL uses 2000 pounds of wheat and 5000 pounds of soybeans. Suppose that there are 15,000 pounds of wheat and 50,000 pounds of soybeans on hand.
This is the answer on the back. But, word problems are hard to solve for me.
The number represent the batches....
1 R + 2 F + 2 P = 15
3 R + 7 F + 5 P = 50
Now subtract 3 times the first from the second to get
From the first equation we know 0<=P<=7, so now go through the posibilities
for P finding the corresponding F's. Then check in the first equation to see if
there is a non-negative R to go with the P and F's.
This will leave you with a list of feasible solutions.