A company has the option of using one or more different types of production

processes. The first and second processes result in product P$1,$ while third and

fourth result in product P$2.$ For each process, input $($resources$)$ are:

$$ Labour measured in man weeks

$$ Kg of materials, k

$$ Boxes of materials, B

As each process varies in its input requirement, the profit obtained for each

process are different even for processes producing the same item. The amount of

man$-$power and both kinds of materials are limited$.$ The data is given below.

Item One unit of Product

P$1$

One unit of Product

P$2$

Total

resources

available

Process

$1$

Process

$2$

Process

$3$

Process $4$

Man weeks $111-15($max$)$

Kg of materials, k $7633120($max$)$

Boxes of

materials, B

$351115100($max$)$

Unit profit $($Rs$)451811$

Formulate this as an LPP and find out the optimum production level of each of the

processes to get maximum profit?A company has the option of using one or more different types of production

processes. The first and second processes result in product $P_1,$ while third and

fourth result in product $P_2.$ For each process, input $($resources$)$ are:

Labour measured in man weeks

$Kg$ of materials, $k$

Boxes of materials, B

As each process varies in its input requirement, the profit obtained for each

process are different even for processes producing the same item. The amount of

man$-$power and both kinds of materials are limited$.$ The data is given below.

Formulate this as an LPP and find out the optimum production level of each of the

processes to get maximum profit? $(3$ marks$)$