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) $\$ 258,000.00$

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The Answer of 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) $\$ 258,000.00$

The Marginal Cost of Manufacturing X Yards of a Certain C′(x)=3−0.01x+0.000006x2C^{\prime}(x)=3-0.01 x+0.000006 x^{2}C′(x)=3−0.01x+0.000006x2

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