The Halters Stable feeds and houses of equestrians. The stable owner, an ex-racehorse trainer, recognizes the need to s
Posted: Mon Nov 15, 2021 9:58 am
The Halters Stable feeds and houses of equestrians. The
stable owner, an ex-racehorse trainer, recognizes the need to set a
nutritional diet for the horses in his care. At the same time, he
would like to keep the overall daily cost of feed to a minimum. The
feed mixes available for the horses’ diet are an oat product, a
highly enriched grain, and a mineral product. Each of these mixes
contains a certain amount of five ingredients needed daily to keep
the average horse healthy. The table below shows these minimum
requirements, units of each ingredient per pound of feed mix, and
costs for the three mixes.
In addition, the stable owner is aware that an overfed horse is
a sluggish worker. Consequently, he determines that 6 pounds
of feed per day are the most that any horse needs to function
properly.
Question:
1. Optimal number of pounds of oat product per horse each day
=
["1.33", "0", "1.67", "2.33", "3.67", "Not in
the choices."] lb.
2. Optimal number of pounds of
enriched grain product per horse each day =
["0",
"0.67", "2.67", "0.23", "3.13", "Not in the choices."]
lb.
iii. Optimal number of pounds of
mineral product per horse each day =
["3.33", "0", "2.17", "1.67", "0.29", "1.23", "Not in the
choices."]
lb.
iv. Number of units of Ingredient A
consumed daily by each horse =
["6", "8", "6.25", "20", "13.76",
"Not in the choices."]
units
v. Number of units of Ingredient E
consumed daily by each horse =
["5.67", "5", "23.13", "10", "6.46", "Not in the
choices."] units
vi. Maximum number of pounds of feed to be
fed to each horse daily= ["4.67", "6", "5.6", "4.5",
"5", "Not in the choices."]
lb.
vii. Which of the following constraints
are binding?
["Ingredients A & D", "Ingredients A & E",
"Ingredients B & C", "Ingredients B, D & E", "Ingredients C
& E", "Not in the choices."]
viii. Minimum possible daily cost of
feeds = ?
stable owner, an ex-racehorse trainer, recognizes the need to set a
nutritional diet for the horses in his care. At the same time, he
would like to keep the overall daily cost of feed to a minimum. The
feed mixes available for the horses’ diet are an oat product, a
highly enriched grain, and a mineral product. Each of these mixes
contains a certain amount of five ingredients needed daily to keep
the average horse healthy. The table below shows these minimum
requirements, units of each ingredient per pound of feed mix, and
costs for the three mixes.
In addition, the stable owner is aware that an overfed horse is
a sluggish worker. Consequently, he determines that 6 pounds
of feed per day are the most that any horse needs to function
properly.
Question:
1. Optimal number of pounds of oat product per horse each day
=
["1.33", "0", "1.67", "2.33", "3.67", "Not in
the choices."] lb.
2. Optimal number of pounds of
enriched grain product per horse each day =
["0",
"0.67", "2.67", "0.23", "3.13", "Not in the choices."]
lb.
iii. Optimal number of pounds of
mineral product per horse each day =
["3.33", "0", "2.17", "1.67", "0.29", "1.23", "Not in the
choices."]
lb.
iv. Number of units of Ingredient A
consumed daily by each horse =
["6", "8", "6.25", "20", "13.76",
"Not in the choices."]
units
v. Number of units of Ingredient E
consumed daily by each horse =
["5.67", "5", "23.13", "10", "6.46", "Not in the
choices."] units
vi. Maximum number of pounds of feed to be
fed to each horse daily= ["4.67", "6", "5.6", "4.5",
"5", "Not in the choices."]
lb.
vii. Which of the following constraints
are binding?
["Ingredients A & D", "Ingredients A & E",
"Ingredients B & C", "Ingredients B, D & E", "Ingredients C
& E", "Not in the choices."]
viii. Minimum possible daily cost of
feeds = ?