QUESTION 3 (15 MARKS) A meat packing house is creating

QUESTION 3 (15 MARKS)
A meat packing house is creating a new frankfurter 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 57-g 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 420 kilojoules. The cost per kg for beef pork chicken and turkey plus their energy fat and cholesterol counts are shown below:
Cost/kg
Kj/kg
Fat/kg
Chol g/kg
Beef
$3.09
5927
72.0
463
Pork
$2.76
9770
119.0
452
Chicken
$1.43
7224
56.5
485
Turkey
$0.55
4890
14.0
379
The packer would like each 57-g 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 the hot dog to meet the specifications?
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