Quick Computing Company produces calculators. They have found that the cost, c(x), of making x calculators is a quadratic function in terms of x.

The company also discovered that it costs $61 to produce 3 calculators, $165 to produce 7 calculators, and $385 to produce 12 calculators.

Find the total cost of producing 6 calculators.

Question

Quick Computing Company produces calculators. They have found that the cost, c(x), of making x calculators is a quadratic function in terms of x.

The company also discovered that it costs $61 to produce 3 calculators, $165 to produce 7 calculators, and $385 to produce 12 calculators.

Find the total cost of producing 6 calculators.

anonymous · Answer

@Jack1 @irishboy123 @TheSadGirl

jack1 · Answer

"cost y(x), of making x calculators is a quadratic function in terms of x"
y(x) = ax^2 + bx + c

solve for A, B, and C

dunno about you, but I'd solve this as 3 simultaneous equations

3 calcs ==> cost = $61
EQN 1.  9a + 3b + c = 61

7 calcs ==> cost = $165
EQN 2.  49a + 7b + c = 165
  
12 calcs ==> cost = $385
EQN 3. 144a + 12b + c = 385