Questions from General Calculus

Q: In a purely competitive market, the price of a good is

In a purely competitive market, the price of a good is naturally driven to the value where the quantity demanded by consumers matches the quantity made by producers, and the market is said to be in eq...

Q: The sum of consumer surplus and producer surplus is called the total

The sum of consumer surplus and producer surplus is called the total surplus; it is one measure economists use as an indicator of the economic health of a society. Total surplus is maximized when the...

Q: A camera company estimates that the demand function for its new digital

A camera company estimates that the demand function for its new digital camera is p(x) = 312e0.14x and the supply function is estimated to be pS(x) = 26e0.2x, where x is measured in thousands. Compute...

Q: Is it possible to find a power series whose interval of convergence

Is it possible to find a power series whose interval of convergence is [0,∞]? Explain.

Q: A company modeled the demand curve for its product (in dollars

A company modeled the demand curve for its product (in dollars) by the equation Use a graph to estimate the sales level when the selling price is $16. Then find (approximately) the consumer surplus fo...

Q: A movie theater has been charging $10.00 per person

A movie theater has been charging $10.00 per person and selling about 500 tickets on a typical weeknight. After surveying their customers, the theater management estimates that for every 50 cents that...

Q: If income is continuously collected at a rate of f(t

If income is continuously collected at a rate of f(t) dollars per year and will be invested at a constant interest rate r (compounded continuously) for a period of T years, then the future value of th...

Q: The present value of an income stream is the amount that would

The present value of an income stream is the amount that would need to be invested now to match the future value as described in Exercise 15 and is given by / Find the present value of the income stre...

Q: Pareto’s Law of Income states that the number of people with incomes

Pareto’s Law of Income states that the number of people with incomes between / where A and k are constants with A > 0 and k > 1. The average income of these people is Calculate...

Q: A hot, wet summer is causing a mosquito population explosion in

A hot, wet summer is causing a mosquito population explosion in a lake resort area. The number of mosquitoes is increasing at an estimated rate of 2200 + 10e0.8t per week (where t is measured in weeks...