A pretzel factory has daily fixed costs of $1800. In addition, it costs 20 cents

Question

A pretzel factory has daily fixed costs of $1800. In addition, it costs 20 cents to produce each bag of pretzels. A bag of pretzels sels for $1.90. Complete steps (a (a) Find the rule for the cost function Cx) that gives the total daily cost of producing x bags of pretzels. Hc) below c(Simplity your answer.) (b) Find the rule of the revenue function r(x) that gives the daily revenue from selling x bags of pretzels r)(Simplity your answer.) (c) Find the rule of the profit function plx) that gives the daily profit from x bags of pretzels p)(Simplity your answer.) Enter your answer in each of the answer boxes. Next Previous MacBook Air F8 3 4 5 8

Explanation / Answer

(a)

For x bags of the pretzels,

cost c(x) = fixed cost + variable cost

c(x) = 1800 + 0.20x

(b)

revenue function r(x) = price per bag * total bags sold = $1.90*x = 1.9x

(c)

profit = revenue - cost

p(x) = 1.9x - (1800 + 0.2x) = 1.7x - 1800

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