Solve the problem.
-A vendor at a carnival sells cotton candy and caramel apples for $2.00 each. The vendor is charged $60 to set up his booth. Furthermore, the vendor's average cost for each product he produces is Approximately $0.80.

a.Write a linear cost function representing the cost C(x) (in $) to produce x products.
b. Write a linear revenue function representing the revenue R(x) (in $) for selling x products.
c. Determine the number of products to be produced and sold for the vendor to break even.
A) a. $C ( x ) = 60$
b. $R ( x ) = 1.2 x$
c. products $= 75$

B) a. $C ( x ) = 60$
b. $R ( x ) = 1.2 x$
c. products $= 50$

C) a. $C ( x ) = 0.8 x + 60$
b. $R ( x ) = 2 x$
c. products $= 75$

D) a. $C ( x ) = 0.8 x + 60$
b. $R ( x ) = 2 x$
c. products $= 50$

Question

Solve the problem.
-A vendor at a carnival sells cotton candy and caramel apples for $2.00 each. The vendor is charged $60 to set up his booth. Furthermore, the vendor's average cost for each product he produces is Approximately $0.80.

a.Write a linear cost function representing the cost C(x) (in $) to produce x products.
b. Write a linear revenue function representing the revenue R(x) (in $) for selling x products.
c. Determine the number of products to be produced and sold for the vendor to break even. 
A) a. $C ( x ) = 60$
b. $R ( x ) = 1.2 x$
c. products $= 75$

B) a. $C ( x ) = 60$
b. $R ( x ) = 1.2 x$
c. products $= 50$

C) a. $C ( x ) = 0.8 x + 60$
b. $R ( x ) = 2 x$
c. products $= 75$

D) a. $C ( x ) = 0.8 x + 60$
b. $R ( x ) = 2 x$
c. products $= 50$

Quizplus · Accepted Answer

The cost function $C(x) = 0.8x + 60$ includes both the variable cost of $0.80 per product and the fixed cost of $60 for setting up the booth. The revenue function $R(x) = 2x$ comes from selling each product for $2.00. To find the break-even point, set $C(x) = R(x)$: $0.8x + 60 = 2x$, solving this gives $x = 50$ products.

Solve the Problem C(x)=60C ( x ) = 60C(x)=60 B R(x)=1.2xR ( x ) = 1.2 xR(x)=1.2x

Solve the Problem $C ( x ) = 60$ B $R ( x ) = 1.2 x$