Question
The Attaran Corporation manufactures two electrical products: portable air conditioners and portable heaters. The assembly process for each is similar in that both require a certain amount of wiring and drilling. Each air conditioner takes 3 hours of wiring and 2 hours of drilling. Each heater must go through 2 hours of wiring and 1 hour of drilling During the next production period, 240 hours of wiring time are available and up to 140 hours of drilling time may be used. Each air conditioner sold yields a profit of $15. Each heater assembled may be sold for a $15 profit. 200- 2 The aim of the objective function for Attaran Corporation should be to the objective value Decision variables: X number of air conditioners to be produced Y number of heaters to be produced 20 40 60 80 100 120 140 160 180 200 Objective function: Subject to: Enter your answer in the edit fields, then click Check Answer. Check Answer Clear All All parts showing
Explanation / Answer
solution:
the aim of the objective of attaran corporation should be MAXIMISE the objective value
objective value
Z=15X+15Y
AND THE constraints are
3X+2Y<240
2X+Y<140
now for maximised value see the inersection in the graph
X=40
Y=60
hence maximed profit
Z=15(40+60)=1500$