a cereal factory has weekly fixed costs of $36,000. it costs $1.27 to produce each box of cereal. a box of…

a cereal factory has weekly fixed costs of $36,000. it costs $1.27 to produce each box of cereal. a box of cereal sells for $3.84. find the rule of the cost function c(x) that gives the total weekly cost of producing x boxes of cereal.\n\na. c(x)=36,000 + 2.57x\nb. c(x)=1.27x\nc. c(x)=36,000 + 3.84x\nd. c(x)=36,000 + 1.27x

a cereal factory has weekly fixed costs of $36,000. it costs $1.27 to produce each box of cereal. a box of cereal sells for $3.84. find the rule of the cost function c(x) that gives the total weekly cost of producing x boxes of cereal.\n\na. c(x)=36,000 + 2.57x\nb. c(x)=1.27x\nc. c(x)=36,000 + 3.84x\nd. c(x)=36,000 + 1.27x

Answer

Explanation:

Step1: Identify cost components

Total cost = fixed cost+variable cost.

Step2: Define fixed and variable costs

Fixed cost is $36000$, variable cost per - box is $1.27$, and for $x$ boxes, variable cost is $1.27x$.

Step3: Form cost function

$c(x)=36000 + 1.27x$.

Answer:

D. $c(x)=36000 + 1.27x$