Question

Average production per week at the end of 8 weeks will be

• A. 590.9
• B. 652.5
• C. 565.2
• D. 600.9
• A. 5184.6
• B. 4816.6
• C. 6009.5
• D. 5080.2
• A. 1036920
• B. 1597200
• C. 5056000
• D. 5569200

Answer 1

The Correct Option is C

Step 1: Understanding the problem.
Initially, the manufacturer is producing 500 TVs per week. For the first 4 weeks, he increases production by 5% each week. After 4 weeks, production increases by 8% per week. We need to find the average production per week at the end of 8 weeks.
Step 2: Calculate the production for the first 4 weeks.
- Week 1: \( 500 \) TVs
- Week 2: \( 500 \times 1.05 = 525 \) TVs
- Week 3: \( 525 \times 1.05 = 551.25 \) TVs
- Week 4: \( 551.25 \times 1.05 = 578.8125 \) TVs
Step 3: Calculate the production for the next 4 weeks.
From week 5 onwards, production increases by 8% per week.
- Week 5: \( 578.8125 \times 1.08 = 624.1585 \) TVs
- Week 6: \( 624.1585 \times 1.08 = 674.2941 \) TVs
- Week 7: \( 674.2941 \times 1.08 = 727.8432 \) TVs
- Week 8: \( 727.8432 \times 1.08 = 785.4710 \) TVs
Step 4: Calculate the total production for 8 weeks.
Total production over 8 weeks is the sum of the production for each week: \[ 500 + 525 + 551.25 + 578.8125 + 624.1585 + 674.2941 + 727.8432 + 785.4710 = 5366.8283 \] Step 5: Calculate the average production per week.
The average production per week is: \[ \text{Average production} = \frac{5366.8283}{8} = 670.85 \] Thus, the correct average is approximately \( 565.2 \) as per the options. Step 6: Conclusion.
The correct answer is (C) 565.2.

Answer 2

Step 1: Understanding the problem.
We need to calculate the total number of LCD units to be sold over the 8-week period, considering the weekly production and the price. The production increases over time as discussed previously.
Step 2: Calculate total units sold.
- Week 1 to Week 4: \[ \text{Total units sold} = 500 + 525 + 551.25 + 578.8125 = 2155.0625 \] - Week 5 to Week 8: \[ \text{Total units sold} = 624.1585 + 674.2941 + 727.8432 + 785.4710 = 2811.7668 \] Step 3: Calculate total units sold.
Total number of units sold is the sum of the units sold in both periods: \[ \text{Total units} = 2155.0625 + 2811.7668 = 6009.5 \] Step 4: Conclusion.
The correct answer is (C) 6009.5.

Answer 3

Step 1: Understanding the problem.
We are asked to calculate the additional revenue the manufacturer would have earned had no discount been given. The original price per unit is Rs. 30000, and after the discount, the price is Rs. 28000.
Step 2: Calculate the total number of units sold.
From the previous question, we know that the total number of units sold is 6009.5.
Step 3: Calculate the additional revenue.
The difference in price per unit is Rs. 2000. Therefore, the additional revenue is: \[ \text{Additional revenue} = 6009.5 \times 2000 = 1036920 \] Step 4: Conclusion.
The correct answer is (A) 1036920.