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A meat packing house is creating a new variety of hot dog for the low-calorie, low-

fat, low-cholesterol market. This new hot dog will be made of beef and pork, plus

either chicken, turkey, or both. It will be marketed as a 2-ounce all-meat hot dog,

with no fillers. Also, it will have no more than 6 grams of fat, no more than 27

grams of cholesterol, and no more than 100 calories. The cost per pound for beef,

pork, chicken, and turkey, plus their calorie, fat, and cholesterol counts are shown

in the following table.

Cost/Pound

Beef

Pork

$0.76

Turkey

$0.82

Chicken $0.64

$0.58

Calories/Pound

640

1,055

780

528

Fat (g/lb.) Cholesterol (g/lb.)

32.5

54.0

25.6

6.4

210

205

220

172

The packer would like each 2-ounce hot dog to be at least 25% beef and at least

25% pork. What is the most economical combination of the four meats to make

this hot dog?

Fig: 1