Page 92 - Past Year

90 | P a g e

40. (a) C   20x  x  10000, fixed cost is RM 10000

2
(b) R   100x  x  0.01x
2
(c)    x   0.01x  80x  10000
(d) price per unit is RM 60 and the maximum profit is RM 150 000

8
41. a   2,b 


1,5
42. (a) 0,2 is a minimum point and  is a maximum point
2 1
(b) Equation of tangent: y  x 
3 6

43. (a) = 50

(b)     45 RM 1025

(c)  42.5   RM 806.25

 1 

44. (a)  , 2 is a relative minimum point of ( )

 3 
1
(b) m  
T
3

x
45. (a) a  0.3,b  180 (b) p ( )   0.3x  180;RM 90
(c) RM 23,015