A manufacturer can sell x items at a price of Rs. `(5-x/(100))` each. The cost price of `x` items is Rs. `(x/5+\ 500)dot\ ` Find the number of items he should sell to earn maximum profit.

A manufacturer can sell x items of a commodity at price Rs (330-x) each and the cost of producing x items is Rs (x^(2)+10x+12) . Find MAR.

A manufacturer can sell x items per day at a price p rupees each, where p=125-(5)/(3)x . The cost of production for x items is 500 + 13x + 0.2x^(2) . Find how much he should produce have a maximum profit, assuming all items produces are sold.

A company produces two types of items, and Q. Manufacturing of both items requires the metals gold and copper. Each unit of item P requires 3 gm of gold and 1 gm of copper while that of item Q requires 1 gm of gold and 2 gm of copper. The company has 9 gm of gold and 8 gm of copper in its store. If each unit of item P makes a profit of Rs 50 and each unit of item O makes a profit of 60, determine the number of units of each item that the company should produce to maximize profit. What is the maximum profit?

The cost of manufacturing of certain items consists of Rs 600 as overheads Rs30 per item as the cost Rs x^2/100 of the material and the labour cost for x items produced. How many items must be produced to have average minimum cost.

By selling an article for Rs 900, a man gains 20%. Find his cost price and the gain.

A mansold some items at Rs. 6000, at a loss of 33 1/3 % . Find the cost price.

The manufacturing cost of an item is Rs3 per item, fixed cost is Rs900 and the labour cost is Rs (x^2)/100 for x items produced. How many items must be produced to have average cost minimum.

The cost of manufacturing x articles is Rs. (50+3x). The selling price of x articles is Rs. 4x. On a graph sheet, with the same axes, and taking suitable scale draw two graphs, first for the cost of manufacturing against no. of articles and the second for the selling price against number of articles. Use your graph to determine (i) No. of articles to be manufactured and sold to break even (no profit and no loss), (ii) The profit or loss made when a. 30 b. 60 articles are manufactured and sold.

In a factory the cost of manufacturing x articles is Rs. (20+2x) and the selling price of x articles is Rs. (2.5x).On the same graph paper, with the same axes draw two graphs, first for the cost of manufacturing against no. of articles and the second for the selling price against no. of articles. Take 2 cm=l10 articles on one axis and 2cm =Rs. 20 on the other axis. Provide for x upto 80. Use your graph to determine: (i) No.of articles to be manufactured and sold to reach breakeven point (no profit and no loss situation). (ii) The profit made when 60 articles are manufactured and sold.

A dealer sells an article for Rs. 24 and gains as much percent as the cost price of the article. Find the cost price of the article.