Please I need somebody to answer this question with explanation. Thanks a lot! (
ID: 1176256 • Letter: P
Question
Please I need somebody to answer this question with explanation. Thanks a lot!
( Production to Maximize Income from Given Resources) The truck-assembly
division of a large company produces two different models: the Aztec and the Bronco. Their
basic operation consists of separate assembly departments: drive-train, coachwork, Aztec
final, and Bronco final.
The drive-train assembly capacity is limited to a total of 4000 units per month, of either
Aztecs or Broncos, since it takes the same amount of time to assemble each. The coachwork
capacity each month is either 3000 Aztecs or 6000 Broncos. The Aztecs, which are vans, take
twice as much time for coachwork as the Broncos, which are pickups. The final assembly of
each model is done in separate departments because of the parts availability system. The
division can do the final assembly of up to 2500 Aztecs and 3000 Broncos each month. The
profit per unit on Aztec model is $ 590, and that on Bronco is $270. Formulate the linear
program problem.
Hint: The coachwork constraint has the form aX+Y %u2264 c. If Y= 0, then X= 3000
(Aztecs), and if X= 0, then Y= 6000 (Broncos). What are the values of a and c?
Explanation / Answer
aX + Y = c
Put Y = 0, X= 3000
3000a = c.....(1)
Put x = 0, y = 6000
c = 6000......(2)
Using 1 and 2
a = 2
and c = 6000