A pretzel factory has daily fixed costs of $1100. In addition, it costs 70 cents to produce each bag of pretzels. A bag of pretzels sells for $1.80.
Build the cost function C(b) where b is the number of bags of pretzels:
C(b) = Cost per bag * b + Fixed Costs
C(b) = 0.70b + 1100
Build the revenue function R(b) where b is the number of bags of pretzels:
R(b) = Sale price * b
R(b) = 1.80b
Build the revenue function P(b) where b is the number of bags of pretzels:
P(b) = Revenue - Cost
P(b) = R(b) - C(b)
P(b) = 1.80b - (0.70b + 1100)
P(b) = 1.80b = 0.70b - 1100
P(b) = 1.10b - 1100
Build the cost function C(b) where b is the number of bags of pretzels:
C(b) = Cost per bag * b + Fixed Costs
C(b) = 0.70b + 1100
Build the revenue function R(b) where b is the number of bags of pretzels:
R(b) = Sale price * b
R(b) = 1.80b
Build the revenue function P(b) where b is the number of bags of pretzels:
P(b) = Revenue - Cost
P(b) = R(b) - C(b)
P(b) = 1.80b - (0.70b + 1100)
P(b) = 1.80b = 0.70b - 1100
P(b) = 1.10b - 1100