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2. Minimum point is (1,4) and maximum point is (5,36).

2
2
3. (a) R   300x  x  4 ;   x   5x  450x  5000
x
(b) Maximum profit is RM5125
(c) RM120

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4. Normal equations: y   x 
9 9

2
5. (a) R   160x  x  0.2x ; 400 units to maximize the total revenue
2
(b)    x   0.205x  164x  4000 ; Maximum profit is RM28800

(c) RM 80

x  10
x
6. Equation of tangent: y  ; y  
2
11

7. (a) C   40 20x   x

2
(b) R   100x  x  2x
(c) 20 units will maximize he profit
(d) RM 760

x
3
8. Equation of normal: y   

9. (a) RM 10
(b) 30 units will maximize the revenue

(c) RM 15

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10. Equation of tangent: y   x 
35 7