posted by Anonymous
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
google linear programming
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!!!!!!
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