A manufacturer of a certain item can sell all he can produce at the selling price of Rs 60 each. It costs him Rs 40 in materials and labour to produce each item and he has overhead expenses of Rs 3000 per week in order to operate that plant. The number of units he should produce and sell in order to make a profit of at least Rs 1000 per week is

Answer

To solve the problem step by step, we need to determine how many units the manufacturer should produce and sell to achieve a profit of at least Rs 1000 per week.

### Step 1: Determine the profit per unit
The selling price per unit is Rs 60, and the cost to produce each unit (materials and labor) is Rs 40.

**Profit per unit = Selling Price - Cost Price**
Profit per unit = Rs 60 - Rs 40 = Rs 20

### Step 2: Calculate the total profit needed
The manufacturer wants to make a profit of at least Rs 1000 per week. However, he also has overhead expenses of Rs 3000 per week.

**Total profit needed = Desired Profit + Overhead Expenses**
Total profit needed = Rs 1000 + Rs 3000 = Rs 4000

### Step 3: Calculate the number of units to produce
Now, we need to find out how many units must be sold to achieve this total profit. Since the profit per unit is Rs 20, we can use the following formula:

**Number of units = Total Profit Needed / Profit per Unit**
Number of units = Rs 4000 / Rs 20 = 200 units

### Conclusion
The manufacturer should produce and sell **200 units** to make a profit of at least Rs 1000 per week.

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