Linear Programming Assignment Questions with
correct answers
A manufacturer produces two types of bottled coffee drinks:
cappuccinos and cafés au lait. Each bottle of cappuccino requires 6
ounces of coffee and 2 ounces of milk and earns a profit of $0.40. Each
bottle of café au lait requires 4 ounces of coffee and 4 ounces of milk
and earns a profit of $0.50. The manufacturer has 720 ounces of coffee
and 400 ounces of milk available for production each day. To meet
demand, the manufacturer must produce at least 80 coffee drinks each
day. Let x = the number of cappuccino bottles and y = the number of
café au lait bottles.
Identify the constraints on the system other than
x ≥ 0 and y ≥ 0. Correct Answer-1st
3rd
4th
Complete the objective function.
P=
x+
y Correct Answer-0.40
0.50
A system has the following constraints:
, x + y ≥ 80
3x + 2y ≤ 360
x + 2y ≤ 200 x ≥ 0
y≥0
Which graph represents the feasible region for the system? Correct
Answer-C
The vertices of the feasible region represented by a system are (0, 100),
(0, 80), (80, 60), (80, 0), and (120, 0).
What are the minimum and maximum values of the objective function F
= 8x + 5y?
Minimum:
Maximum: Correct Answer-400
960
A printing company orders paper from two different suppliers. Supplier
X charges $25 per case. Supplier Y charges $20 per case. The company
needs to order at least 45 cases per day to meet demand and can order no
more than 30 cases from Supplier X. The company needs no more than 2
times as many cases from Supplier Y as from Supplier X. Let x = the
number of cases from Supplier X and y = the number of cases from
Supplier Y.
correct answers
A manufacturer produces two types of bottled coffee drinks:
cappuccinos and cafés au lait. Each bottle of cappuccino requires 6
ounces of coffee and 2 ounces of milk and earns a profit of $0.40. Each
bottle of café au lait requires 4 ounces of coffee and 4 ounces of milk
and earns a profit of $0.50. The manufacturer has 720 ounces of coffee
and 400 ounces of milk available for production each day. To meet
demand, the manufacturer must produce at least 80 coffee drinks each
day. Let x = the number of cappuccino bottles and y = the number of
café au lait bottles.
Identify the constraints on the system other than
x ≥ 0 and y ≥ 0. Correct Answer-1st
3rd
4th
Complete the objective function.
P=
x+
y Correct Answer-0.40
0.50
A system has the following constraints:
, x + y ≥ 80
3x + 2y ≤ 360
x + 2y ≤ 200 x ≥ 0
y≥0
Which graph represents the feasible region for the system? Correct
Answer-C
The vertices of the feasible region represented by a system are (0, 100),
(0, 80), (80, 60), (80, 0), and (120, 0).
What are the minimum and maximum values of the objective function F
= 8x + 5y?
Minimum:
Maximum: Correct Answer-400
960
A printing company orders paper from two different suppliers. Supplier
X charges $25 per case. Supplier Y charges $20 per case. The company
needs to order at least 45 cases per day to meet demand and can order no
more than 30 cases from Supplier X. The company needs no more than 2
times as many cases from Supplier Y as from Supplier X. Let x = the
number of cases from Supplier X and y = the number of cases from
Supplier Y.
