CA Foundation | Quantitative Aptitude | Calculus | Exercise 8 C | ICAI Module Solutions

CA Foundation Chapter - 8 : BASIC CONCEPTS OF DIFFERENTIAL AND INTEGRAL CALCULUS (Exercise C, Chapter 8 - ICAI Study material)

This video explains the solution of all the problems of Exercise C of Basic Concepts of Differential and Integral Calculus (Chapter 8 in CA Foundation Quantitative Aptitude study material book provided by ICAI).

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00:00 Intro
00:06 The fixed cost of a new product is Rs. 18000 and the variable cost per unit is Rs. 550. If demand p(x) = 4000 - 150x, what are the break-even values ?
02:21 A company sells its product at Rs. 60 per unit. Fixed cost for the company is Rs. 18000 and the variable cost is estimated to be 25% of total revenue. What is the total revenue function ?
03:06 What is the total cost function ?
03:58 What is the breakeven point ?
04:44 Using the data the total cost C(x) of a company as C(x) = 1000 + 25x + 2x² where x is the output. What is the average cost ?
06:08 What is the marginal cost ?
06:59 What is the marginal cost when 15 units are produced ?
07:32 What is the actual cost of producing 15ᵗʰ units ?
10:00 C(x) = 0.002x³ - 0.04x² + 5x + 1500, where x is the output, what is the average cost ?
11:48 What is the marginal average cost ?
13:20 What is the marginal cost ?
14:54 C(x) = 0.002x³ - 0.04x² + 5x + 1500, where x is the output, what is the rate of change of marginal cost with respect to x ?
15:47 The total cost function for a company is given by C(x) = 3/4x² - 7x + 27. Find the level of output for which MC = AC ?
18:15 The demand function for a monopolist is given by x = 100 - 4p, where x is the number of units of product produced and p is the price per unit. What is the total revenue function ?
19:30 The demand function for a monopolist is given by x = 100 - 4p, where x is the number of units of product produced and p is the price per unit. What is the average revenue function ?
20:04 The demand function for a monopolist is given by x = 100 - 4p, where x is the number of units of product produced and p is the price per unit. What is the marginal revenue function ?
20:48 The demand function for a monopolist is given by x = 100 - 4p, where x is the number of units of product produced and p is the price per unit. Find the price and quantity at which marginal revenue = 0 ?
22:30 A firm knows that the demand function for one of its products is linear. It also knows that it can sell 1000 units when the price is Rs. 4 per unit and it can sell 1500 units when the price is Rs. 2 per unit. Find the demand function ?
24:19 A firm knows that the demand function for one of its products is linear. It also knows that it can sell 1000 units when the price is Rs. 4 per unit and it can sell 1500 units when the price is Rs. 2 per unit. Find the total revenue function ?
25:56 A firm knows that the demand function for one of its products is linear. It also knows that it can sell 1000 units when the price is Rs. 4 per unit and it can sell 1500 units when the price is Rs. 2 per unit. Find the average revenue function ?
26:34 A firm knows that the demand function for one of its products is linear. It also knows that it can sell 1000 units when the price is Rs. 4 per unit and it can sell 1500 units when the price is Rs. 2 per unit. Find the marginal revenue function ?
27:32 A company charged Rs. 15000 for a refrigerator on orders of 20 or less refrigerator. The charge is reduced on every set by Rs. 100 per piece for each piece ordered in excess of 20. Find the largest size order the company should allow so as to receive a maximum revenue ?
33:24 A firm has the demand function as x = 480 - 20p and average cost function as 10 + x/15. Determine the profit maximizing output and price of the monopolist ?
39:33 The marginal cost of production is MC = 20 - 0.04x + 0.003x² where x is the number of units produced. The fixed cost is Rs. 7000. What is the total cost function ?
42:01 The marginal cost of production is MC = 20 - 0.04x + 0.003x² where x is the number of units produced. The fixed cost is Rs. 7000. What is the average cost function ?
42:46 The marginal cost function of manufacturing x units of a product is given by MC = 3x² - 10x + 3. The total cost of producing zero unit of the product is Rs. 7. What is the total cost function ?
45:15 The marginal cost function of manufacturing x units of a product is given by MC = 3x² - 10x + 3. The total cost of producing zero unit of the product is Rs. 7. What is the average cost function ?
46:03 The marginal cost function of a commodity is given by marginal cost = 14000/sqrt(7x + 4) and the fixed cost is Rs. 18000. Find the total cost function ?
48:54 The marginal cost function of a commodity is given by marginal cost = 14000/sqrt(7x + 4) and the fixed cost is Rs. 18000. Find the average cost function ?
49:56 The marginal revenue of a function MR = 7 - 4x - x². Find the total Revenue.
52:04 End Screen

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