A dog owner wants to minimize the cost of buying dog food for his bullmastiffs. Two types of dog
food are available mixed with three kinds of minerals: calcium, phosphorous, and potassium. The per
kilo cost of dog food A and dog food B are P 20.00 and P 16.00, respectively, whereas the minimum
requirement of calcium, phosphorous and potassium are 75, 50, and 30 units, respectively. Also, in
one kilogram of dog food A, 5 units of calcium, 2 units of phosphorous, and 3 units of potassium are
mixed. Again, in one kilogram of dog food B, 4, 6, 3 units of calcium, phosphorous, and potassium,
respectively are mixed. How many of each type of dog food must be bought to minimize the cost?
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