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Answer the following question based on the information given below:

The following table shows the break-up actual costs incurred by a company in last five years [year $2002$ to year $2006]$ to produce a particular product.

The production capacity of the company is $2000$ units. The selling price for the year $2006$ was Rs. $125$ per unit. Some costs change almost in direct proportion to the change in volume of production, while the other do not follow any obvious pattern of change with respect to the volume of production and hence are considered fixed. Using the information provided for the year $2006$ as the basis for projecting the figures for the year $2007$, answer the following questions

 

Year 2002

Year 2003

Year 2004

Year 2005

Year 2006

Volume of production

1000

900

1100

1200

1200

Cost(Rs)

         

Material

50,000

45,100

55, 200

59, 900

60, 000

Labour

20,000

18,000

22, 100

24,150

24,000

Consumables

2,000

2,200

1,800

1,600

1,400

Rent of building

1000

1000

1100

1100

1200

Repair and maintenance expenses

800

820

780

790

800

Operating cost of machines

30,000

27,000

33,500

36,020

36,000

Rates and taxes

400

400

400

400

400

Selling and marketing expenses

5,750

5,800

5, 800

5,750

5,800

If the company reduces the price by $5\%,$ it can produce and sell as many units as it desires. How many units the company should produce to maximize its profit?

  1. $1400$
  2. $1600$
  3. $1800$
  4. $1900$
  5. $2000$
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