Use a calculator to work these exercises. (See Examples 1 and 2.)An aluminum can factory h...

Use a calculator to work these exercises. (See Examples 1 and 2.)

An aluminum can factory has daily fixed costs of $120,000 per day. In addition, it costs $.03 to produce each can. They can sell a can to a soda manufacturer for $.05 a can.

(a) Find the rule of the cost function c(x) that gives the total daily cost of producing x aluminum cans.

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(b) Find the rule of the revenue function r(x) that gives the daily revenue from selling x aluminum cans.

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(c) Find the rule of the profit function p(x) that gives the daily profit from x aluminum cans.

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