A finished product must weigh exactly 150 grams. The raw materials
used in manufacturing the product are A, with a cost of Birr 2 per unit
and B with a cost of Birr 8 per unit. At least 14 units of B and not more
than 20 units of A must be used. Each unit of A and B weighs 5 and 10
grams respectively. How much of each type of raw materials should be
used for each unit of the final product in order to minimize the cost of
making the final product?
Answers
Given : A finished product must weigh exactly 150 gram
The raw materials used in manufacturing the product are A
To Find : . formulate the LPP problem
minimize the cost
Solution:
B ≥ 14
A ≤ 20
5A + 10B = 150
=> A + 2B = 30
Cost C = 2A + 8B
A = 10 B = 15
A = 2 B = 14
(0 , 15) and ( 2 , 14)
C = 2A + 8B
= 2(10) + 8(15)
= 20 + 120
= 140
C = 2(2) + 8(14)
= 4 + 112
= 116
Cost is 116 when A = 2 and B = 14
Learn More:
27. The feasible solution for a LPP is shown in the following figure ...
brainly.in/question/22688248
Shalmali wants to invest ₹50,000 in saving certificates and PPF ...
brainly.in/question/6332423
solved by simplex method- Max Z= 3x1+2x2 s.t. 5x1+x2≤10 4x1+ ...
brainly.in/question/8809746
Answer:
Given : A finished product must weigh exactly 150 gram
The raw materials used in manufacturing the product are A
To Find : . formulate the LPP problem
minimize the cost
Solution:
B ≥ 14
A ≤ 20
5A + 10B = 150
=> A + 2B = 30
Cost C = 2A + 8B
A = 10 B = 15
A = 2 B = 14
(0 , 15) and ( 2 , 14)
C = 2A + 8B
= 2(10) + 8(15)
= 20 + 120
= 140
C = 2(2) + 8(14)
= 4 + 112
= 116
Cost is 116 when A = 2 and B = 14
Learn More:
27. The feasible solution for a LPP is shown in the following figure ...
brainly.in/question/22688248
Shalmali wants to invest ₹50,000 in saving certificates and PPF ...
brainly.in/question/6332423
solved by simplex method- Max Z= 3x1+2x2 s.t. 5x1+x2≤10 4x1+ ...
brainly.in/question/8809746
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