Using quadratic function concepts, it is found that:
a) The value of a is -2000.
b) The maximum profit the company can make is of $5,000,000, when 150 computers should be produced.
c) Between 140 and 160 computers need to be produced.
The profit is modeled by:

Item a:
If 120 computers are produced, the profit will be $3,200,000, hence when
, and this is used to find a.





The value of a is -2000.
Item b:
We first place the quadratic function into standard form, thus:



Which has coefficients
.
Then, we have to find the vertex:



The maximum profit the company can make is of $5,000,000, when 150 computers should be produced.
Item c:
We are working with a concave down parabola, hence the range is <u>between the roots of</u>:



The coefficients are
.
Then:



Between 140 and 160 computers need to be produced.
A similar problem is given at brainly.com/question/24705734