Ashifur August 8, 2023 - 17:11
Problem: A printer quotes a price of Taka 7,500 for printing 1,000 copies of a book and Taka 15,000 for printing 2,500 copies. Assuming a linear relationship and 2,000 books are printed, find a) the variable cost per book, b) the average cost per book and c) the fixed cost.

View all: BANGLADESH BANK (BB) | ASSISTANT DIRECTOR (AD) | WRITTEN QUESTION SOLVE(MATH) | 2011

Correct Answer: a) 5 TK
b)  6.25 TK
c) 2500 TK

Explanation:

(a)The variable cost per book

Let, variable cost per book = V TK and fixed cost = F Tk

1000 copies printing cost F +1000V = 7500 …..(i)

2500 copies printing cost F + 2500V = 15000 …..(ii)

Now. (ii) – (i)

1500V = 7500

v = 5

c) The fixed cost

Putting value of V in (i)=> F+(1000x 5)=7500

F = 2500

b) The average cost per book

As cost function is linear and F = 2500 and V = 5,

so In printing 2000 books we need = F + 2000V= 2500 + (2000 x 5) = 12500 tk.

Average cost $\frac{12500}{2000}$ = 6.25tk.

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