SOLUTION: An ice cream vendor finds that her daily opening cost is $350 plus $0.60 per portion served. Each portion is sold for $2. A) write a linear function to describe the total cost of

Question 1092506: An ice cream vendor finds that her daily opening cost is $350 plus $0.60 per portion served. Each portion is sold for $2.
A) write a linear function to describe the total cost of x- portions.
B) write the function for revenue earned by the scale of x- portions
C) how many portions must be produced and sold to break even?
D) what revenue is earned when the vendor breaks even?
Answer by greenestamps(13203) (Show Source): You can put this solution on YOUR website!

Pretty straightforward stuff. You should be able to do it yourself.

A: Cost: The fixed daily operating cost, plus $0.60 for each of the x portions sold.

(Or, to make it better algebraic form, $0.60 for each of the x portions sold, plus the fixed daily operating cost. That is, "y = mx+b" instead of "y = b + mx").

B: Revenue: $2 for each of the x portions sold.

C: She breaks even when her revenue is equal to her cost. Set the two equations from A and B equal to each other and solve to find the value of x (number of portions sold) that makes revenue = cost.

D: Plug the value from C into the revenue function from B.
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