The total cost of making n pocket radios per day is `Rs{(n^2)/4 +35n + 25 `and the rate at which they may be sold to a distributor is `Rs {1/2(100 - n)}`. For amaximum total profit, the daily output should be many of a small town has 500

The total cost of producing x radio sets per day is Rs.((x^(2))/(4)35x+25) and the price per set at which they may be sold is Rs.(50-(x)/(2)). Find the daily output to maximize the total profit.

A small firm manufactures gold rings and chains. The total number of rings and chains manufactured per day is atmost 24. It takes 1 hour to make a ring and 30 minutes to make a chain. The maximum number of hours available per day is 16. If the profit on a ring is Rs. 300 and that on a chain is Rs 190, find the number of rings and chains that should be manufactured per day, so as to earn the maximum profit. Make it as an L.P.P. and solve it graphically.

Total cost of producing x items is Rs x^(2)/(4)+25x-50 and selling perice of each is Rs 100 -(x)/(4) . The output for maximum profit must be

A faniture dealer deals in only two itmes - tables and chairs. He has 'Rs. 50000 invest and has storage place of at most 60 pieces. A table costs Rs. 2500 and chair Rs. 500. He estimates that from the sale of one table, he can make a perfect Rs. 250 and that from the sale of one chair a profit of Rs. 75. How many table and chair he should buy from the available money so as to maximise his total profit assuming that he can sell all the items which he buys.

M sold a printer to N at a profit of 10% and N sold it to P at profit of 4% paid Rs. 14,300 what was the cost price to M ?