Originally posted by valentinoo:
pls math genius here..help to solve the probs
zere eist ich est here! heil fuhrer!
1(a)
Objective equationminimize x^2+4.h.x
constraint equationx.x.h=32
x^2.h=32
1(b)
surface area=x^2+4.h.x
h=32/x^2 from constraint equation
sub. h=32/x^2 into equation for surface area
surface area=x^2+4.(32/x^2).x1(c)
setting d(surface area)/dx=0,
x= 
h=32/x^2= HEIL FUHRER!!!
2
Number of cars = a+ b*(toll rate)
36,000 = a + (-300)*(100) [$1=100 cents]
a=66,000
Number of cars = 66,000 - 300 * (toll rate)
Revenue = Number of cars * toll rate
Revenue = [66,000 - 300*(toll rate)] * toll rate
setting d(revenue)/d(toll rate)=0,
optimal toll rate= HEIL SIEGE!!! HEIL FUHRER!!!
3
this question zere is not very clear in its wording. however
i take it to mean average number of books in storage = 400,000/number of production runs .
Let x = number of production runs
total cost = setting up costs + carrying costs = 1000*x + 400,000/x
setting d(total cost)/dx = 0
x=
zere i am not sure abut the meaning of ze question. not very clear question. nevertheless
HEIL SIEGE! HEIL FUHRER!!!
i dunno if have any calculation errors anot, you check lah.
