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Below is the question and I have already answered # 1 . I need help with # 2 . Details on how you got to

Below is the question and I have already answered #1. I need help with #2. Details on how you got to the answer is very helpful. CNY Electronics operates production for two kinds of audio speakers. The first kind is a bookshelf speaker, called Utopia. The other kind is a floor speaker, called Vienna. Due to Viennas high shipping cost and heavy weight, only a small portion of consumers will consider Vienna. Thus, CNY Electronics wants Viennas monthly production to be no more than 200 units.
In the production line, each Utopia requires 1 tweeter and 2 woofers to produce sound while each Vienna requires 2 tweeters and 3 woofers to do so. There are 800 tweeters and 1500 woofers available monthly from CNY Electronics suppliers.
In order to maintain its work force contract, at least 500 audio speakers or more must be produced monthly. Currently each Utopia can bring in $500 as its unit profit and each Vienna can bring in $1250 as its unit profit. CNY Electronics wants to find a production mix for Utopia and Vienna to maximize its monthly profit.
1) Formulate this problem as a linear program.
The variables:
X= Utopia bookshelf speakers produced per month
Y= Vienna floor speakers produced per month
The objective function:
We would want to maximize the monthly profit with Z.
Z=500(X)+1250(Y)
Constraints:
The Vienna production should be no more than 200 units. Y <=200
Utopia requires 1 tweeter and Vienna requires 2 tweeters. X+2Y<=800
Utopia requires 2 woofers and Vienna requires 3 woofers. 2X+2Y<=1500
At least 500 audio speakers must be produced monthly. X+Y>=500
2) Use the graphical solution procedure to solve this linear program graphically for its optimal solution. Report the optimal solution.

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