Students stuff envelopes for extra money. Their initial cost to obtain the information for the job was $140. Each envelope costs $0.02 and they get paid $0.03per envelope stuffed. Let x represent the number of envelopes stuffed. (a) Express the cost C as a function of x. (b) Express the revenue R as a function of x. (c) Determine analytically the value of x for which revenue equals cost.
a) Cost Function
C(x) = 140 + 0.02x
b) Revenue Function
R(x) = 0.03x
c) Set R(x) = C(x)
140 + 0.02x = 0.03x
Using our equation solver, we get x = 14,000
a) Cost Function
C(x) = 140 + 0.02x
b) Revenue Function
R(x) = 0.03x
c) Set R(x) = C(x)
140 + 0.02x = 0.03x
Using our equation solver, we get x = 14,000