9.2. A meat packaging house is creating a new variety of hot dog for the low-cal
ID: 3122308 • Letter: 9
Question
9.2. A meat packaging 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 of beef, pork, chicken, and turkey, plus their calorie, fat, and cholesterol counts are shown in the following table Cost Calories Cholesterol Fat pound poun gram/pound (gram/pound) Beef $1.76 740 32.5 250 Pork $1.82 800 54.0 205 Chicken $1.60 780 25.6 172 Turkey $1.80 528 220 10.4 Note: 1 pound 16 ounces. 1 ounce 1/16 pound. We can translate 2 ounce to 2/16 pound (i.e. 2 ounces 0.125 pound) The packer would like each 2-ounce hot dog to be at least 25% beef and at least 20% pork. What is the most economical combination of the four meats to make this hot Let T1 the amount (in pounds) of beef to mix in a 2-ounce hot dog T2 the amount (in pounds) of pork to mix in a 2-ounce hot dog. T3 the amount (in pounds) of chicken to mix in a 2-ounce hot dog. z4 the amount (in pounds) of turkey to mix in a 2-ounce hot dog. 9.2.a (0.3 pt) What is the objective function? A) min 1.76r1 1.82r2 1.60ra 1.80r4 B) max 1.76r 1 1.82r2 1.60z3 +1.80z4 C) min z T2 D) max aci T2 T3 T4 9.2.b (0.3 pt) Which of the following constraint ensures that the 2-ounce weight (per dog) constraint is satisfied?Explanation / Answer
a) Objective function is:
1.76x1 + 1.82x2 + 1.60x3 + 1.80x4
option A
b) A option
c) Calories constraint:
740x1 + 800x2 + 780x3 + 528x4 <= 100
A option.
d) A option.
e) A option.
f) B option.
g) B option.
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.