Math Problem Statement

Calculate the cost of production of 1000 pieces of shirts, if fixed cost is Rs. 500 and variable cost is Rs. 80.

Solution

The problem from the image asks:

"Calculate the cost of production of 1000 pieces of shirts, if fixed cost is Rs. 500 and variable cost is Rs. 80."

To solve this:

  1. Fixed cost (FC) = Rs. 500
  2. Variable cost per unit (VC) = Rs. 80
  3. Number of shirts (Q) = 1000

The total cost of production (TC) can be calculated using the formula:

Total Cost (TC)=Fixed Cost (FC)+(Variable Cost per Unit (VC)×Quantity (Q))\text{Total Cost (TC)} = \text{Fixed Cost (FC)} + (\text{Variable Cost per Unit (VC)} \times \text{Quantity (Q)})

Substituting the values:

TC=500+(80×1000)=500+80,000=80,500\text{TC} = 500 + (80 \times 1000) = 500 + 80,000 = 80,500

Thus, the total cost of production for 1000 shirts is Rs. 80,500.

Would you like further details or have any questions?

Here are 5 related questions to explore further:

  1. What is the difference between fixed and variable costs in production?
  2. How does the total cost change if the variable cost increases?
  3. What would the cost be for 1500 shirts with the same fixed and variable costs?
  4. How does mass production affect variable and fixed costs?
  5. How can we calculate the breakeven point for production?

Tip: Always separate fixed and variable costs to understand the behavior of your total cost in response to changes in production scale.

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Math Problem Analysis

Mathematical Concepts

Arithmetic
Cost Calculation

Formulas

Total Cost (TC) = Fixed Cost (FC) + (Variable Cost per Unit (VC) * Quantity (Q))

Theorems

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Suitable Grade Level

Grades 6-8