Write a cost function for the problem. Assume that the relationship is linear.
-A toilet manufacturer has decided to come out with a new and improved toilet. The fixed cost for the production of this new toilet line is $16,600 and the variable costs are $70 per toilet. The Company expects to sell the toilets for $155. Formulate a function C(x)for the total cost of Producing x new toilets and a function R(x)for the total revenue generated from the sales of x
Toilets.
A) $ C(x)=16600+70 x ; R(x)=155 x $
B) $ C(x)=16,670 ; R(x)=155 $
C) $ C(x)=70 x: R(x)=155 x $
D) $ C(x)=16600+155 x: R(x)=70 x $

Question

Quizplus · Accepted Answer

The total cost function, $C(x)$, combines the fixed cost ($16,600) with the variable cost per unit ($70) multiplied by the number of units (x), resulting in $C(x) = 16600 + 70x$. The revenue function, $R(x)$, is the selling price per unit ($155) multiplied by the number of units sold (x), leading to $R(x) = 155x$.

Write a Cost Function for the Problem C(x)=16600+70x;R(x)=155x C(x)=16600+70 x ; R(x)=155 x C(x)=16600+70x;R(x)=155x

Write a Cost Function for the Problem $C(x)=16600+70 x ; R(x)=155 x$