A manufacturer has employed 5 skilled men and 10 semi-skilled men and makes two models A and B of an article. The making of one item of model A requires 2 hours work by a skilled men and 2 hours work by a semi-skilled man. One item of model B requires 1 hour by a skilled man and 3 hours by a semi-skilled man. No man is expected to work more than 8 hours per day. The manufacturer's profit on an item of model A is Rs.15 and on an item of model B is Rs.10. How many of items of each model should be made per day in order to produce maximize daily profit ? Formulate the above LPP and solve it graphically and find the maximum profit.

A manufacturer has employed 5 skilled men and 10 semi-skilled men and

1.	A manufacturer has employed 5 skilled men and 10 semi-skilled men and makes two models A and B of an article. The making of one item of model A requires 2 hours work by a skilled men and 2 hours work by a semi-skilled man. One item of model B requires 1 hour by a skilled man and 3 hours by a semi-skilled man. No man is expected to work more than 8 hours per day. The manufacturer's profit on an item of model A is Rs.15 and on an item of model B is Rs.10. How many of items of each model should be made per day in order to produce maximize daily profit ? Formulate the above LPP and solve it graphically and find the maximum profit.
Answer» A manufacturer has employed $5$ skilled men and $10$ semi-skilled men and makes two models $A$ and $B$ of an article. The making of one item of model $A$ requires $2$ hours work by a skilled men and $2$ hours work by a semi-skilled man. One item of model $B$ requires $1$ hour by a skilled man and $3$ hours by a semi-skilled man. No man is expected to work more than $8$ hours per day. The manufacturer's profit on an item of model $A$ is Rs. $15$ and on an item of model $B$ is Rs. $10.$ How many of items of each model should be made per day in order to produce maximize daily profit ? Formulate the above LPP and solve it graphically and find the maximum profit.