Break even is the value of t where revenue=cost or R(t)=C(t)
set equal each other
-50t^2+300t=600-50t multiply both sides by -1 50t^2-300t=50t-600 divide both sides by 50 t^2-6t=t-12 minus t-12 from both sides t^2-7t+12=0 factor (t-4)(t-3)=0 set each to zero t-4=0 t=4
The break even exists when the cost of the process is equal to the revenue of the selling. In this case, -50t^2 + 300t = 600-50t; <span>50t^2 -350 t + 600 = 0. t is the number of tickets. In this problem, the breakeven point is at t equal to 4 and 3 tickets. the ticket price should be 600- 50*3 equal to 450 dollars as this is the greater one between the two to gain more revenue after break even</span>