The demand curve for a certain product is given by p(q) = 541-q^2. The supply curve is given by p(q) = 1.1q^2. Find the consumer surplus at a quantity of 14 items The consumer surplus at a quantity of 14 items is $ If necessary, round to two decimal places. Do not include units.

A study of driving costs of 2015 model sedan cars found that the average cost (car payments, gas, insurance, upkeep, and depreciation), measured in cents/mile, is approximated by AC(x) = 45+ 120 where denotes the number of miles (in thousands of miles) the car is driven in a X x year. 1. What is the average cost of driving a sedan car 20,000 mi/yr? 2. What happens to the average cost as the number of miles driven increases without bound?

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The demand function for a certain brand of CD is given by p = -0.01x^2 - 0.3x +47  where p is the wholesale unit price in dollars and x is the quantity demanded each week, measured in units of a thousand determine the consumers surplus(in dollars) if the market price is set at  $7/disc

Suppose the income from an Internet access business is a continuous income stream with annual rate of flow given by -0.12 f(t) = 900te in thousands of dollars per year. Find the total income over the next 10 years. (Round your answer to the nearest whole number.) *thousand dollars

An electric company uses time-of-day pricing to encourage cus- tomers to use electricity during times of less demand. From 6 P.M. to midnight, the cost is modeled by E(t)= 600/(1+t^2) cents per kilowatt hour, where 6 (< or =) t (< or =) 12 is measured in hours after noon. How much does it cost to use one kilowatt of electricity over this 6-hour period?