1- Formulate the following LP problem A company produces both exterior and interior house paints. Two raw materials A and B are used for manufacturing the paints. A B The daily requirements of A and B in tons for the two types of paints are given below Requirement per Availability ton of paint (tons) Exterior 1 2 Interior 2 1 6 8 The factory has capacity to produce a maximum of 3 tons of exterior and two tons of interior paints per day. The price per ton of exterior and interior paints are Rs 15,000 and Rs 10,000 respectively. Determine how much quantity of these paints should be produced per day in order to maximize the sales.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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1- Formulate the following LP problem
A company produces both exterior and
interior house paints. Two raw materials A
and B are used for manufacturing the paints.
The daily requirements of A and B in tons
for the two types of paints are given below
Requirement per
ton of paint
Interior
Availability
(tons)
Exterior
B
1
The factory has capacity to produce a
maximum of 3 tons of exterior and two tons
of interior paints per day. The price per ton of
exterior and interior paints are Rs 15,000 and
Rs 10,000 respectively. Determine how much
quantity of these paints should be produced
per day in order to maximize the sales.
2- Formulate the Following Problem to find the optimal solution using LP model
A company combines factors X
and Y to form a product which must weigh not
less than 50 kg. At least 20 kg of X and not more
than 40 kg of Y can be used. The cost of Xis Rs 10
per kg and that of Y is Rs 25 per kg. Determine
how much of X and Y are to be used to minimize
the total cost.
Transcribed Image Text:1- Formulate the following LP problem A company produces both exterior and interior house paints. Two raw materials A and B are used for manufacturing the paints. The daily requirements of A and B in tons for the two types of paints are given below Requirement per ton of paint Interior Availability (tons) Exterior B 1 The factory has capacity to produce a maximum of 3 tons of exterior and two tons of interior paints per day. The price per ton of exterior and interior paints are Rs 15,000 and Rs 10,000 respectively. Determine how much quantity of these paints should be produced per day in order to maximize the sales. 2- Formulate the Following Problem to find the optimal solution using LP model A company combines factors X and Y to form a product which must weigh not less than 50 kg. At least 20 kg of X and not more than 40 kg of Y can be used. The cost of Xis Rs 10 per kg and that of Y is Rs 25 per kg. Determine how much of X and Y are to be used to minimize the total cost.
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