1.
b.
c.
2. a. 
Constraints are:
time: 4x + 12y ≤ 180
lanolin: 60x + 100y ≤ 1800
packing: x + y ≤ 25
(also x ≥ 0 and y ≥ 0)
b. Maximum occurs at x = 17.5 and y = 7.5
c. 18 jars of rosemary and 7 jars of lavender.
3. a. Inequalities are:
x ≥ 0, y ≤ 5
4x+ 3y ≤ 25
2x + 5y ≥ 16
b. Vertices are: A = (0, 3.2), B = (0, 5), C = (2.5, 5) and D = (5.5, 1)
c. 5x + 4y has these values:
A. 12.8
B. 20
C. 32.5
D 31.5
Therefore the maximum value is 32.5
4. a. (i) The number of electronic transactions is equal to or greater than the number of paper transactions.
(ii) y ≤ 12
b. 
c. Total monthly bank fee, C = 40x + 25 y
d. From the graph:
| A | (4, 12) | C = 460 |
| B | (12, 12) | C = 780 |
| C | (6, 6) | C = 390 |
| D | (4, 10) | C = 410 |
So the bank fee is a minimum with 6 paper transactions and 6 electronic transactions.
