The profits of two different clothing factories can be modeled as shown, where s

is the number of shirts produced at each factory.

Factory A:
−0.06s2+43s−1600
Factory B:
−0.04x2+32x−1500

a. Write a polynomial that represents the difference in the profits at the two plants.

Note: It should be s instead of x in profit of factory B.

Given:

Consider the profits of two different clothing factories can be modeled as shown, where  s  is the number of shirts produced at each factory.

Factory A :

Factory B :

To find:

The polynomial that represents the difference in the profits at the two plants.

Solution:

Let,

Factory A :

Factory B :

Difference in the profits at the two plants is

Therefore, the required expression is .