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 the number of articles.

Use your graph to determine:
The profit or loss made when (a) 30 (b) 60 articles are manufactured and sold.

Answer 1

Given that C.P. is 50 + 3x
Table of C.P.

X	0	10	20	30	40	50	60
C.P.	50	80	110	140	170	200	230

and S.P. = 4x
∴ Table of S.P.

X	0	10	20	30	40	50	60
S.P.	0	40	80	120	160	200	240

Now plot the points on a graph and we get the following required graph:

(a)
On article 30,
C.P. = Rs.140 and S.P. = 120
Therefore Loss = 140 - 120 = Rs. 20

(b)
On article 60,
C.P.= Rs. 230 and S.P.= Rs. 240
Therefore Profit = 240 - 230 = Rs.10