Find the appropriate linear cost or revenue function.
-Marginal cost, $\$ 50$;
50 items cost $\$ 2900$ to produce. Find the linear cost function.
A) $C(x)=8 x+2900$
B) $C(x)=8 x+400$
C) $C(x)=50 x+400$
D) $C(x)=50 x+2900$

Question

Quizplus · Accepted Answer

The marginal cost is the slope of the cost function, which is \$50. The cost function is $C(x) = 50x + b$. Given that 50 items cost \$2900, substitute $x = 50$ and $C(x) = 2900$ to find $b$: $2900 = 50(50) + b$, solving gives $b = 400$. Thus, the cost function is $C(x) = 50x + 400$.

Find the Appropriate Linear Cost or Revenue Function $50\$ 50$50 ; 50 Items Cost

Find the Appropriate Linear Cost or Revenue Function $\$ 50$ ;
50 Items Cost