Let's say the cost of student tickets is x and the cost of adult tickets is y. Then:
(1) 12y + 6x = 138
(2) 5y + 11x = 100
If we rearrange equation (1) we get:
12y = 138 - 6x
Now divide each side by 12:
y = 11.5 - 0.5x
We can now substitute this into equation (2):
5(11.5 - 0.5x) + 11x = 100
57.5 - 2.5x + 11x = 100
8.5x = 42.5
x = 5, therefor the cost of a student ticket is $5.00
B = F / (S-C)
B - breaking point in units
F - fixed costs, S - selling price, C - cost per racket.
S-C is the profit on a single unit
B = 740000 / (77.59 - 39.72) = 19540.53
The breaking point is approached after selling 19541 units.
2. x = 1/4 ( 0.25)
4. y = 122, x = 42
6. x = 63, y = 8
8. is missing
10. 13.5 cm
12. x = 10.6
14. x = 5.45
B the highest point is at three points 3,1 and as the graph has no higher value of point it is a maximum therefore B
