Explain solution RD Sharma class 12 Chapter 29 Linear Programming exercise 29.4 question 6
Answer:
Maximum profit =350
Deluxe model = 10
Ordinary model = 20
Hint:
Let required number of deluxe and ordinary model be x and y.
Given:
Since, Profit on each model of deluxe and ordinary type of Rs15 and Rs10 respectively.
Solution:
Let z be total profit then
Where x and y are required deluxe and ordinary model
Since each deluxe and ordinary model required 2 and 1 hour of skilled men, but twice available skilled men is 5×8 = 4 hours so,
(first constraint)
Given each deluxe and ordinary model require 2 and 3 hour of semi-skilled men, but total ratable by semi -skilled men is 100×8 = 80 hours so
(second constraint)
Hence the required LPP
Subject to constraints
,since number of ordinary model cannot less than zero
The feasible region obtain by the system of constraint
Point (10,20) obtain by solving (i) and (ii).
The corner point of feasible region is
Corner Points |
Value of |
Maximum z = 350 at x = 10, y = 20
Required number of deluxe model = 10 and required number of ordinary model = 20
Maximum profit = 350