Home
Class 12
MATHS
For manufacturing a certain item, the fi...

For manufacturing a certain item, the fixed cost is 9000 and the variable cost of producing each unit is Rs 30. The average cost of producing 60 units is -

A

Rs 150

B

Rs 180

C

Rs 240

D

Rs 120

Text Solution

AI Generated Solution

The correct Answer is:
To find the average cost of producing 60 units, we will follow these steps: ### Step 1: Identify the fixed and variable costs - Fixed cost (FC) = Rs 9000 - Variable cost per unit (VC) = Rs 30 ### Step 2: Calculate the total variable cost for 60 units - Total variable cost (TVC) for 60 units = Variable cost per unit × Number of units - TVC = 30 × 60 = Rs 1800 ### Step 3: Calculate the total cost (TC) of producing 60 units - Total cost (TC) = Fixed cost + Total variable cost - TC = FC + TVC - TC = 9000 + 1800 = Rs 10800 ### Step 4: Calculate the average cost (AC) of producing 60 units - Average cost (AC) = Total cost / Number of units - AC = TC / 60 - AC = 10800 / 60 = Rs 180 ### Final Answer: The average cost of producing 60 units is Rs 180. ---
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF CALCULUS

    ICSE|Exercise Competency based questions |10 Videos
  • APPLICATION OF INTEGRALS

    ICSE|Exercise MULTIPLE CHOICE QUESTIONS (Choose the correct answer from the given four options in questions)|17 Videos

Similar Questions

Explore conceptually related problems

The marginal cost of a product is given by MC = (14000)/(sqrt(7x+ 4)) and the fixed cost is 18000. Find the total cost and the average cost of producing 3 units of output.

The marginal cost MC of a product is given to be a constant multiple of number of units (x) produced. Find the total cost function if the fixed cost is Rs. 1000 and the cost of producing 30 units is Rs. 2800.

The manufacturing cost of an item is Rs3 per item, fixed cost is Rs900 and the labour cost is Rs (x^2)/100 for x items produced. How many items must be produced to have average cost minimum.

The cost of production of a certain instrument is directly proportional to the number of units produced. The cost of production for 300 units is $300. What is the cost of production for 270 units?

If the cost function of a certain commodity is C(x)=2000+ 50x-(1)/(5)x^(2) then the average cost of producing 5 units is

The marginal cost of a product is given by MC = 2x + 30 and the fixed cost is Rs. 120. Find (i) the total cost of producing 100 units. (ii) the cost of increasing output from 100 to 200 units.

A firm starts producing pocket calculators. During the first year, the cost for setting up the unit is 3 lakh. The additional cost of producing a calculator is Rs 70. This cost is directly related to the production and the variable cost. The firm expects the revenue from the sales of the calculators to be 270 per calculator. Assuming all the produced calculators are sold, find the number x of the calculators for which (i) the firm will breakeven (ii) will make profit (iii) will suffer a loss.

The fixed cost of a new product is Rs. 30,000 and the variable cost per unit is Rs. 800. If the demand function is x=45-(p)/(100) , find break-even values.

C=8n+522 The equation above gives the cost, C, in dollars of manufacturing n items. A profit is made when the total revenue from selling a quantity of items is greater than the total cost of manufacturing the same quantity of items. If each items can be sold $14, which of the following inequalies gives all possible values of n that will produce a profit?