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A manufacturer has the following data regarding a product. Fixed cost per month = Rs. 80,000 Variable cost per unit = Rs. 350 Selling price per unit =
Question

A manufacturer has the following data regarding a product.
Fixed cost per month = Rs. 80,000
Variable cost per unit = Rs. 350
Selling price per unit = Rs. 500
Production capacity = 1600 units per month
If the production is carried out at 75% of the rated capacity, then monthly profit is (in Rs.)

A.

1 Lakh   

B.

1.2 Lakhs

C.

1.4 Lakhs

D.

0.8 Lakhs

Correct option is A

Given Data:Fixed Cost (FC): Rs. 80,000 per monthVariable Cost per Unit (VC): Rs. 350Selling Price per Unit (SP): Rs. 500Production Capacity: 1600 units/monthProduction Level: 75% of capacityCalculate Actual Production QuantityProduction Quantity (Q)=75%×1600=0.75×1600=1200 unitsCompute Total Costs1. Total Variable Cost (TVC):TVC=VC×Q=350×1200=Rs. 420,0002. Total Cost (TC):TC=FC+TVC=80,000+420,000=Rs. 500,000Calculate Total RevenueTotal Revenue (TR)=SP×Q=500×1200=Rs. 600,000Determine Monthly ProfitProfit=TRTC=600,000500,000=Rs. 100,000\begin{aligned}&\textbf{Given Data:} \\&\text{Fixed Cost (FC): } \text{Rs. } 80{,}000 \text{ per month} \\&\text{Variable Cost per Unit (VC): } \text{Rs. } 350 \\&\text{Selling Price per Unit (SP): } \text{Rs. } 500 \\&\text{Production Capacity: } 1600 \text{ units/month} \\&\text{Production Level: } 75\% \text{ of capacity} \\[1em]&\textbf{Calculate Actual Production Quantity} \\&\text{Production Quantity } (Q) = 75\% \times 1600 = 0.75 \times 1600 = 1200 \text{ units} \\[1em]&\textbf{Compute Total Costs} \\&\text{1. Total Variable Cost (TVC):} \\&TVC = VC \times Q = 350 \times 1200 = \text{Rs. } 420{,}000 \\&\text{2. Total Cost (TC):} \\&TC = FC + TVC = 80{,}000 + 420{,}000 = \text{Rs. } 500{,}000 \\[1em]&\textbf{Calculate Total Revenue} \\&\text{Total Revenue (TR)} = SP \times Q = 500 \times 1200 = \text{Rs. } 600{,}000 \\[1em]&\textbf{Determine Monthly Profit} \\&\text{Profit} = TR - TC = 600{,}000 - 500{,}000 = \boxed{\text{Rs. } 100{,}000}\end{aligned}​​

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