The Marginal Cost of Manufacturing X Yards of a Certain $C^{\prime}(x)=3-0.01 x+0.000006 x^{2}$

Multiple Choice

The marginal cost of manufacturing x yards of a certain fabric is $C^{\prime}(x) =3-0.01 x+0.000006 x^{2}$ in dollars per yard. Find the increase in cost if the production level is raised from $2500$ yards to $6500$ yards.

A) $\$ 278,000.00$
B) $\$ 248,000.00$
C) $\$ 268,000.00$
D) $\$ 288,000.00$
E) $\$ 258,000.00$