MATH

While traveling for vacation, you have decided to divide your lodging between a resort and a regular stay hotel. Let x represent the number of nights you will spend in a resort and let y represent the number of nights you will spend in a regular stay hotel.
A) Write a system of inequalities that models the following conditions:
1) You want to stay at least 5 nights
2) At least one night will be spent at a resort
3) Resorts average $200 per night and regular stay hotels average $100 per night. Your budget does not exceed $700 for lodging
B) How do I graph the solution set of my system of inequalities?
C) How many nights can you spend at resort and stay within your budget?
Please help!!!!! A-C step by step

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  1. google linear programming

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  2. for example
    http://www.wolframalpha.com/widget/widgetPopup.jsp?p=v&id=1e692c6f72587b2cbd3e7be018fd8960&title=Linear%20Programming%20Calculator&theme=blue

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  3. Can you just do the step by steps to get to the answers please? I have the answers with me, but want to double check the work and answers please!!!!!!

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  4. on axis system draw x = 1 vertical line, must be to right

    draw y = 5-x
    must be to right , intersect at (1,4)

    draw y = 7 -2 x must be to left
    (this is from 200 x100 y <=700)
    that hits x = 1 at y = 5
    it hits y = 5-x at
    7-2x = 5-x
    x = 2
    That is the biggest x that works

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