A farmer buys two varieties of animal feed. Type A contains ounces of oats and ounces of corn per pound. Type B contains ounces of oats and ounces of corn per pound. The farmer wants to combine the two feeds so that the resulting mixture has at least pounds of oats and at least pounds of corn. The farmer wants to buy not more than pounds of Type A feed and not more than pounds of Type B feed. Type A feed costs him cents per pound, and Type B feed costs him cents per pound. How many pounds of each type should the farmer buy to minimize the cost?

Question

A farmer buys two varieties of animal feed. Type A contains  ounces of oats and  ounces of corn per pound. Type B contains  ounces of oats and  ounces of corn per pound. The farmer wants to combine the two feeds so that the resulting mixture has at least  pounds of oats and at least  pounds of corn. The farmer wants to buy not more than  pounds of Type A feed and not more than  pounds of Type B feed. Type A feed costs him  cents per pound, and Type B feed costs him  cents per pound. How many pounds of each type should the farmer buy to minimize the cost?

Helper · Answer

Please recheck your problem, your are missing information.

Type A and Type B are both oats and corn mixtures. Is this correct?

The farmer wants to combine the two feeds so that the resulting mixture has at least (????HOW MANY POUNDS) pounds of oats and at least(????HOW MANY POUNDS) pounds of corn.

The farmer wants to buy not more than (????HOW MANY POUNDS)pounds of Type A feed and not more than (????HOW MANY POUNDS)pounds of Type B feed.

Type A feed costs him (????HOW
MUCH)cents per pound, and Type B feed costs him (????HOW MUCH)cents per pound.

Helper · Answer

Also, I just noticed, Type A contains (????HOW MANY) ounces of oats and (????HOW MANY)ounces of corn per pound. Type B contains (????HOW MANY)ounces of oats and (????HOW ANY)ounces of corn per pound.

Shell · Answer

A farmer buys two varieties of animal feed. Type A contains 9 ounces of oats and 2 ounces of corn per pound. Type B contains 5 ounces of oats and 10 ounces of corn per pound. The farmer wants to combine the two feeds so that the resulting mixture has at least 80 pounds of oats and at least 55 pounds of corn. The farmer wants to buy not more than 300 pounds of Type A feed and not more than 175 pounds of Type B feed. Type A feed costs him 18 cents per pound, and Type B feed costs him 19 cents per pound. How many pounds of each type should the farmer buy to minimize the cost?