Let x be the number of Standard Specials sold last Monday and y be the number of Deluxe specials sold last Monday.
The Standard special sells for $2, then x Standard Specials cost $2x.
The Deluxe special sells for $4.50, then y Deluxe specials cost $4.50y.
1. Last Monday, PB&P sold at least $200 worth of Standard and Deluxe peanut butter and pickle sandwich specials. This means that
2x+4.50y≥200.
2. When all related business expenses are included, the Standard special costs $0.50 to prepare, then x Standard Specials cost $0.50x.
When all related business expenses are included, the Deluxe special costs $1.25 to prepare, then y Deluxe specials cost $1.25y.
Expenses were no more than $100, then
0.50x+1.25y≤100.
3. At least 30 Standard special were sold, then x≥30.
4. Graph all these inequalities (see attached diagram). As you can see only point (60,70) doesn't belong to needed region.
Answer: all points except point (60,70)
