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2. An oil company sells 150-liter barrels at $100 each. The company estimates that for a...

2. An oil company sells 150-liter barrels at $100 each. The company estimates that for a given year their projected monthly cost will be modeled by c(x) = 0.005x3 − 2x + 5000 dollars when x barrels are sold.

a) What is the company’s revenue function when x barrels are sold?

b) What is the company’s profit function?

c) What is the company’s marginal profit function?

d) Use marginal analysis to estimate the profit when 20 barrels are sold

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