Math

QuestionA sandwich shop has a fixed cost of \510andavariablecostof$0.55perroastbeefsandwich.Findthecostfunction510 and a variable cost of \$0.55 per roast beef sandwich. Find the cost function C(x)$.

Studdy Solution

STEP 1

Assumptions1. The fixed weekly cost for the sandwich store is 510.00.Thevariablecostformakingaroastbeefsandwichis510.00. The variable cost for making a roast beef sandwich is 0.553. The variable cost depends on the number of sandwiches made and sold each week, represented by xx
4. The cost function C(x)C(x) represents the total weekly cost for the sandwich store

STEP 2

The cost function C(x)C(x) is composed of two parts the fixed cost and the variable cost. The fixed cost is a constant, while the variable cost depends on the number of sandwiches made and sold each week (xx). We can write this asC(x)=Fixedcost+Variablecost×xC(x) = Fixed\, cost + Variable\, cost \times x

STEP 3

Now, plug in the given values for the fixed cost and the variable cost to write the cost function.
C(x)=$510.00+$0.55×xC(x) = \$510.00 + \$0.55 \times xThis is the weekly cost function for the local sandwich store. The total cost increases by $0.55 for each additional roast beef sandwich made and sold in a week.

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord