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