Question

A piano manufacturer has a daily fixed cost of $1600 and a marginal cost of $2000 per piano. Find the cost C(x) of manufacturing x pianos in one day.

Okay so I came up with this function so far for the problem: C(x) = 2000x+1600

Use your function to answer the following questions:
(a) On a given day, what is the cost of manufacturing 2 pianos?
I worked it out and came up with:
C(2) = 2000(2) +1600
C(2) = $5600

The next part is where I'm having trouble . . .
(b) What is the cost of manufacturing the 2nd piano that day?
(c) What is the cost of manufacturing the 11th piano that day?

Answer 1

(d) What is the variable cost?

Answer 2

correct so far..................for next part, you are trying to find how much more will it cost to make that 1 extra piano........C(1) = 3600, C(2) = 5600, 5600-3600 = 2000. ..........same thing for part c) C(11)-C(10) = 2000 ..................the marginal cost is constant at 2000, so every piano will have have the same cost..........................variable cost is 2000 as well

Answer 3

Ty so much that cleared it up, and I understand how you came up with that.