Students stuff envelopes for extra money. Their initial cost to obtain the information for the job w | MathCelebrity Forum

Students stuff envelopes for extra money. Their initial cost to obtain the information for the job w

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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
 
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