SOLUTION: The supply function of a commodity is a quadratic function that passes though the following points (i.e (p,q) where p=price per item and q=number of units) (30,800),(40,3900) and

Algebra ->  Functions -> SOLUTION: The supply function of a commodity is a quadratic function that passes though the following points (i.e (p,q) where p=price per item and q=number of units) (30,800),(40,3900) and      Log On


   

Question 326819: The supply function of a commodity is a quadratic function that passes though the following points (i.e (p,q) where p=price per item and q=number of units) (30,800),(40,3900) and (60,7400).Required: Determine the supply function .
Answer by solver91311(24713) About Me  (Show Source):
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This is a three-variable, three equation, linear system problem.

The general quadratic function is:

.

We are given 3 points:







Leading to:







The coordinates of the ordered triple solution set are the coefficients of the desired quadratic equation.

John