QuestionFind the cost function $C(x)$ for a sandwich store with fixed cost \$530 and variable cost \$0.60 per sandwich.

Studdy Solution

STEP 1

Assumptions1. The fixed cost (FC) is \ $530.00 per week. The variable cost (VC) per sandwich is \$0.603. The cost function is$ C(x) = FC + VC(x) $, where$ x$ is the number of sandwiches

STEP 2

First, we need to express the cost function $C(x)$ in terms of $x$ . The fixed cost (FC) is a constant, so it remains as \ $530.00. The variable cost (VC) is dependent on the number of sandwiches produced, so it is expressed as$ 0.60x$.
$C(x) = FC + VC(x)$

STEP 3

Substitute the given values for FC and VC into the cost function.
$C(x) = \$530.00 + \$0.60x$ This is the expression for $C(x)$ in terms of $x$ . The cost of producing $x$ sandwiches in a week is given by $C(x) = \$530.00 + \$0.60x$ .

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