Why is matrix multiplication not commutative?

Correlation

Absolute measures and relative measures of dispersion.

A shopkeeper charges Rs. 25 per item for buying 20 or less items. He gives some rebate if items bought are more. If the items bought are 50 or less, then a rebate of Re. 1 per item and for purchase of more than 50 items, rebate of Rs. 2 per item. Find the cost function. What are the points at which this is not continuous?

The profits (in Rs. Lakhs) earned by 100 companies during the 1987-88 are shown below. Compute (a) Mean, (B) Variance, and (c) Standard deviation by using items and their squares.

Partition values

A stereo manufacturer determines that in order to sell x units of a new stereo, the price per unit, in rupees, must be p(x)= 1000-x. The manufacturer also determines that the total cost of producing x units is given by C(x) = 3000+20x.

a) Find the total revenue R(x).

b) Find the total profit P(x).

c) How many units must the manufacturer produce and sell in order to maximise profit?

d) What is the maximum profit?

e) What price per unit must be charged in order to make this maximum profit?