Use a calculator to work these exercises. (See Examples 1 and 2.)
A pretzel factory has daily fixed costs of $1800. In addition, it costs 50 cents to produce each bag of pretzels. A bag of pretzels sells for $1.20.
(a) Find the rule of the cost function c(x) that gives the total daily cost of producing x bags of pretzels.
(b) Find the rule of the revenue function r(x) that gives the daily revenue from selling x bags of pretzels.
(c) Find the rule of the profit function p(x) that gives the daily profit from x bags of pretzels.
Example 1
Finance If you were a single person in Connecticut in 2013 with a taxable income of x dollars and x ≤ $500,000 then your state income tax T was determined by the rule
Example 2
Suppose the projected sales (in thousands of dollars) of a small company over the next 10 years are approximated by the function
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