Problem: The production department of an electronics company projects thefollowi

Question

Problem:
The production department of an electronics company projects thefollowing costs to manufacture
a new line of calculators. Marketing estimates the best retailprice for the calculator is $92.
Number ofcalculators                               Cost to produce x calculators
0                                                                   $92,000
10          $84,200
100             $32,000

Find out following:

1. Assuming this relationship is quadratic, find the quadraticfunction C(x) = ax2 + bx + c that fits this data.
2. If each calculator sells for $92 and x is the number ofcalculators sold, write the revenue
function?
3. Profit is revenue minus cost. Write the profit equation.
4. How many calculators must be sold to make this line ofcalculators profitable (what values of
x make profit positive)?
5. How many calculators must be sold to maximizes profit? That is,what value of x will make
profit the greatest?
6. How can you check this work? (Hint: Set all this up on a tableto check your work.)

Explanation / Answer

Well this is the answer to number 1.

Set up a system of equations.

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