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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 $ 25. Each heater assembled may be sold for a $ 15 profit. Formulate and solve this LP production- mix situation, and find the best combination of air conditioners and heaters that yields the highest profit.

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jepessoa

Answer:

the optimal solution is 40 air conditioners and 60 heaters that yield a total profit of $1,900

Explanation:

we have to maximize profit following the equation 25a + 15h, where a = air conditioners and h = heaters

the constraints are:

3a + 2h ≤ 240  

2a + h ≤ 140

a ≥ 0

h ≥ 0

using solver on excel, the optimal solution is 40 air conditioners and 60 heaters that yield a total profit = (40 x $25) + (60 x $15) = $1,900

(3 x 40) + (2 x 60) ≤ 240  

(2 x 40) + 60 ≤ 140

40 ≥ 0

60 ≥ 0

According to The optimal solution is 40 air conditioners and 60 heaters that yield a total profit is $1,900

Calculate the Electrical products

When we have to maximize profit following the equation is: 25a + 15h, where a is = air conditioners and then h = heaters

Then the constraints are:

3a + 2h ≤ 240  

2a + h ≤ 140

a ≥ 0

h ≥ 0

Now we are using solver on excel, When the optimal solution is 40 air conditioners and also 60 heaters that yield a total profit is = (40 x $25) + (60 x $15) = $1,900

(3 x 40) + (2 x 60) ≤ 240  

(2 x 40) + 60 ≤ 140

40 ≥ 0

60 ≥ 0

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