Question

The Electrocomp Corporation manufactures two electrical products: air conditioners and large fans. 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 fan 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 $25. Each fan assembled may be sold for a $15 profit. Formulate and solve this LP production mix situation to find the best combination of air conditioners and fans that yields the highest profit. Use the corner point graphical approach Answer the questions / fill up the blanks below: (a) Definitions of variables (give the complete meanings of the variables): X1 = X2 = (b) Objective function in terms of variables (ex: Max 2X1 + 3X2): (pick one) Max or Min ___ (c) Constraint 1 for wiring hours in terms of the above variables: _. (d) Constraint 2 for drilling hours in terms of the above variables: _. (e) Constraint 3 (if there is, otherwise leave this open): . (f) Non-negative constraints: ______. (g) The optimal solution of the above LP, as given by QM: X1 = _, X2 = _. (h) The optimal objective function value = (as given by QM). (i) According to the optimal solution, how many air conditioners should be produced? Your answer: ____ .

          The Electrocomp Corporation manufactures two electrical
products: air conditioners and large fans. 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 fan 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 $25.
Each fan assembled may be sold for a $15 profit.
Formulate and solve this LP production mix situation to find the
best combination of air conditioners and fans that yields the
highest profit.
Use the corner point graphical approach
Answer the questions / fill up the blanks
below:

(a) Definitions of variables (give the complete meanings of the
variables):
X1 = ______________
           
X2 = ______________
(b) Objective function in terms of variables (ex: Max
2X1 + 3X2):
           
(pick one) Max or Min ___________________________
(c) Constraint 1 for wiring hours in terms of the above
variables:
           
_______________________.
(d) Constraint 2 for drilling hours in terms of the above
variables:
           
_______________________.
(e) Constraint 3 (if there is, otherwise leave this open):
           
______________________.
(f) Non-negative constraints:
           
______________________.
(g) The optimal solution of the above LP, as given by QM:
           
X1 = ___________, X2 = ___________.
(h) The optimal objective function value = ____________ 
(as given by QM).
(i) According to the optimal solution, how many air conditioners
should be produced?
           
Your answer: __________ .

Added by Kevin V.

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