Write a cost function for the problem. Assume that the relationship is linear.
-Fixed cost, $\$ 400 ; 10$ items cost $\$ 2350$ to produce
A) $C(x)=390 x+400$
B) $C(x)=195 x+400$
C) $C(x)=195 x+2350$
D) $C(x)=390 x+2350$

Question

Quizplus · Accepted Answer

The cost function is linear, so it has the form $C(x) = mx + b$. The fixed cost is the y-intercept $b = 400$. The cost for 10 items is $2350, so $2350 = 10m + 400$. Solving for $m$, we get $m = 195$. Thus, the cost function is $C(x) = 195x + 400$.

Write a Cost Function for the Problem $400;10\$ 400 ; 10$400;10

Write a Cost Function for the Problem $\$ 400 ; 10$