Class 12 CBSE A.O.D Exercise 6.8
Class 12 CBSE Applied Maths aims to develop an understanding of basic
mathematical and statistical tools and their
applications in the field of commerce (business/ finance/economics) and social
sciences. Topics covered in Class 12th Applied Maths includes : Numbers, Quantification and
Numerical Applications, Algebra, Calculus, Probability Distributions , Inferential Statistics, Index
Numbers and Time-based data , Financial Mathematics , Linear Programming.
Please Select
Q1. For manufacturing a certain item, the fixed cost is ₹6500 and the cost of
producing each unit is ₹12.50.
(i) What is the cost function? Draw a graph, clearly indicating TC, TFC and TVC.
(ii) What is the total cost of producing 75 items?
(iii) What is the average cost of producing 400
items?
Solution :
Q2. The cost function for a certain commodity is
C (x) = 12 + 3x — 1/3 x².
Write down the total cost, fixed cost, variable cost and average cost when 3 units are produced.
Solution :
Q3. Cost of producing 75 units of a commodity is ₹275 and cost of producing ₹150
units is ₹300. Assuming that TC is linear, find the
(i) cost function.
(ii) average total cost of producing 75, 150, 225 units respectively.
(iii) average fixed cost of
producing 75, 150, 225 units respectively.
(iv) average variable cost of producing 75, 150, 225 units respectively. lase
Solution :
Q4.The total cost of producing and marketing x units of commodity is given by
C=2x+ 1/5x²+5e
Find
(i) the fixed cost (ii) the variable cost (iii) total cost of producing 5 units (iv) average cost of
producing 5 units.
Solution :
