The number of seats sold cannot be negative, so you have
... x ≥ 0, y ≥ 0
The limits on numbers of seats must be observed, so you have
... y ≤ 2000
... x + y ≤ 3000
And the revenue constraint must be met:
... 35x + 50y ≥ 90,000
Together, these inequalties are ...
{x ≥ 0, y ≥ 0, y ≤ 2000, x + y ≤ 3000, 35x + 50y ≥ 90,000}
Answer:
−8/3
Step-by-step explanation:
Step 1: Add 12 to both sides.
−3y−12+12=−4+12
−3y=8
Step 2: Divide both sides by -3.
−3y−3=8−3
y=−8/3
Distribute
x-12x+30=-x-4
Combine like terms
-11x+30=-x-4
Add x to both sides
-10x+30= -4
Subtract 30 from both sides
-10x=-34
Divide both sides by -10
x=3.4
Final answer: x=3.4
