Math

QuestionA local sandwich shop has a weekly cost of \565andavariablecostof$0.65perroastbeefsandwich.Findthecostfunction565 and a variable cost of \$0.65 per roast beef sandwich. Find the cost function C(x) = \square$.

Studdy Solution

STEP 1

Assumptions1. The fixed weekly cost is \565.00.Thevariablecostformakingaroastbeefsandwichis$0.653.565.00. The variable cost for making a roast beef sandwich is \$0.653. x$ represents the number of roast beef sandwiches made and sold each week

STEP 2

The weekly cost function, C, for the local sandwich store can be represented as the sum of the fixed cost and the variable cost multiplied by the number of sandwiches sold.
C(x)=Fixedcost+VariablecosttimesNumberofsandwichessoldC(x) = Fixed\, cost + Variable\, cost \\times Number\, of\, sandwiches\, sold

STEP 3

Now, plug in the given values for the fixed cost, variable cost, and the number of sandwiches sold to write the cost function.
C(x)=$565.00+$0.65xC(x) = \$565.00 + \$0.65xSo, the weekly cost function, C, for the local sandwich store is C(x)=$565.00+$0.65xC(x) = \$565.00 + \$0.65x.

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