Help needed with the 2nd part Part 1 The Electrocomp Corpora

Help needed with the 2^nd part

Part 1:

The Electrocomp Corporation manufactures 2 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 solution to find the best combination of air conditioner and fans that yields the highest profit.

Answer: 40 air conditioners, 60 fans, profit= $1900

Part 2:

Electrocomp’s management realizes that it forgot to include 2 critical constriants (see Part 1). In particular, management decides that there should be a minimum number of air conditioners produced in order to fulfill a contract. Also, due to an oversupply of fans in the preceding period, a limite should be placed on the total number of fans produced.

If Electrocomp decides that at least 20 air conditioners should be produced but no more than 80 fans should be produced, what would be the optimal solution? How much slack is there for each of the four constraints?

If Electrocomp decides that at least 30 air conditioners should be produced but no more than 50 fans should be produced, what would be the optimal solution? How much slack is there for each of the four constraints?

Solution

Hence maximum profit at 40 a/c and 60 fan with profit = 1900

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x >=20,and y<=80

The optimal solution (40,60) satisfies this also.

Hence the same optimal solution.

No slack is there

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If x>=30 and y<=50

then (45,50) would be the optimal solution

Profit would be = 1875