A manufacturer buys large quantities of spare parts for a certain machine. He finds that the cost depends on the number of boxes purchased at the same time and that the cost per unit decreases as the number of boxes increases.

Assume that the cost is a quadratic function of volume and from the previous invoices, obtain the following table:

Determine if W can be expressed as a linear combination of the following vectors?

Number of boxes bought Total cost (in dollars) 10 150 30 260 50 325 100 500 175 670 105 3.3 Number of boxes bought Total cost (in dollars) 10 150 30 260 50 325 100 500 175 670 105 3.3