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Research
Methodology
1. The monthly income of two
persons are in the ratio 4:5 and their monthly expenditures are in the ratio
7:9. If each saves Rs. 50 per month, find their monthly incomes.
2. A tour operator charges rs.
136 per passenger for 100 passengers with a discount of rs. 4 for each 10
passengers in excess of 100. Determine the number of passengers that will maximize
the amount of money the tour operator services.
3. A firm has current sales of
rs. 50000 e0.02t per month. The firm wants to embark upon a certain advertising
campaign that will increase the sales by 2% every month over the 12 months
period of campaign. Find total increase of sales as a result of the campaign.
4. There are two branches of an
establishment employing 200 and 160 persons respectively. If the AMs of the
monthly salaries paid by the two branches are rs. 550 and Rs. 450 respectively,
find AM of the salaries of the employees of the establishment as a whole.
5. Calculate the median for the
following frequency distribution
Marks 5-10 10-15 15-20 20-25
25-30 30-35 35-40 40-45 45-50
No of
students
7 15 24 31 42 30 26 15 10
6. For the cost function y = 500x
- 40x2 + 3x3 for x units, find the average cost, marginal cost and marginal
average cost.
7. A man borrows rs. 1500 and
agrees to repay the debt in 5 equal installments with 6% interest, compounded
annually. If the first payment is to be made at the end of the first year, how
much should each payment be?
8. A manufacturer can sell x
items per month at a price of P = 300 – 2x rupees. Producing x items cost the
manufacturer y rupees where y = 2x + 1000. How much production will yield
maximum profit.
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