Answer:
1a) 1000
1b) 0
1c) at least 400
Explanation:
1a) Put 2000 for the profit in the equation and solve for v.
... 2000 = 2.50v -500
... 2500 = 2.50v . . . . . . add 500
... 2500/2.50 = v = 1000 . . . . . divide by 2.50
Profit will be $2000 for 1000 visitors.
1b) Put 200 in the equation for the number of vistors and solve for P.
... P = 2.50·200 -500
... P = 500 -500 = 0
Profit will be $0 for 200 visitors.
1c) Turn the equation into an inequality for the desired profit
... P ≥ 500
... 2.50v -500 ≥ 500 . . . . . . substitute the given expression for P
... 2.50v ≥ 1000 . . . . . . . . . . add 500
... v ≥ 1000/2.50 . . . . . . . . . divide by the coefficient of v
... v ≥ 400
Profit will be at least $500 when the number of visitors is at least 400.