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