Help!! can not do this math problem

[chilledsoup]

Suppose a store sells calculators by marking up the price 20%. The price then of one calculator costing c dollars is p(c) = c + 0.2c. The cost of manufactoring n calculators is 50n + 200 dollars. Thus the cost of each calculator is c(n) 50n + 200/n

a) Find the price for one calculator if only one calculator is manufactured.
b) Find the price for one calculator if 1000 calculators are manufactored.
c) Express the price as a function of the number of calculators produced by finding p(c(n)).
d) Sketch a graph of the resulting function.[/u]

 

[Denis]

Suppose a store sells calculators by marking up the price 20%. The price then of one calculator costing c dollars is p(c) = c + 0.2c. The cost of manufactoring n calculators is 50n + 200 dollars. Thus the cost of each calculator is c(n) 50n + 200/n

That should be: (50n + 200) / n


a) Find the price for one calculator if only one calculator is manufactured.

If you can't do this one, you need a private tutor or help from your teacher...

 

[Gene]

Hint change p(c) to 1.2*c
a) set n = 1 in c(n)
set c = the answer to part 1 in p(c)

b) set n = 1000 in c(n)
set c = the answer to part 1 in p(c)

c)a) set c = (50n+200)/n in p(c)
(BTW I agree with soup on the correction.)

d)You have two points from a) and b)
Do c) for n=10 and n=100 to get two more points
Lightly sketch a curve thru those four points.
Look at it and see where a few more points would help define the curve. Maybe 3,30 and 300 would help.
Keep adding more points till you have enough for a smooth curve.