Question

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 scales 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:
No. of articles to be manufactured and sold to break even (no profit and no loss).

Answer 1

It is given that the cost of manufacturing $x$ articles is $(50+3x)$ and the selling price of $x$ article is $4x$. Therefore, number profit or Loss condition will be:

$y=50+4x$

If $y=4x$ then $x=50$

When $x=50$ then the selling price is:

$4x=4\times 50=200$

Also, the cost price is:

$50+3x=500+(3\times 50)=50+150=200$

Hence, the graph is as shown in the graph.