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Problem: The demand equation for a product is given by p = 500 - 0.01q dollars per unit where q is the number of units demanded.
a. Report the Revenue function.
b. If the cost of producing "q" units is given by C (q) =3000 +20q + 0.03q^2 find the profit function.
c. Use CALCULUS to estimate the profit generated by the sale of the of the 152nd unit. How does this compare with the EXACT profit generated by selling the 152nd unit? Include correct units. Do not round values.
d. For which value is marginal profit zero? Interpret your answer. Include correct units. What is the significance of the point where the marginal profit is zero?
a trough is 10 feet long and its ends have the shape of isosceles triangles that are 3 feet across at the top and have a height of 1 foot. if the trough id being filled with water at a rate of 12ft3/min, how fast is the water level rising when the..
You want to create a mileage grid showing the distance between every pair of the 50 U.S. state capitals. How many numbers will you have to compute?
Notice that all of the vertical traces are parabolas whether these vertical traces are in the planes x = a. Which of these vertical traces are parabolas opening up and which are parabolas opening down?
Locate your local Chamber of Commerce's community profile either online or in printed material that describes your local community. Write a three to four (3-4) page paper on the following:
at the 2006 Winter Olympics in Torino, Italy, U.s. speed skater Apolo Ohno took the gold medal for 500m sprint by completing the course in 41.935s. what was the average speed for this event?
Currently need help with adding matrices while finding unknown variables at the same time. my problem is as follows: Solve for u, x, y, and z in the given matrix equation.
Write the equation of the line which has a slope of 8/9
Estimate the population after many months - for example many years into the future.
A plane flying horizontally at an altitude of 2 mi and a speed of 540 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 5 mi away from the station. (Round your ans..
the management of a software firm wishes to develop an airline reservation system. in order to fulfill the contract
Christy Pontiac, a corporation, was indicted for theft by swindle and forgery involving a GM cash rebate program. Hesli, a middle-management employee of Christy Pontiac, had forged the cash rebate applications for two cars so that the rebate money..
A rancher wants to use 200 feet of fencing to enclosed a rectangular are of 1600 square feet. What dimensions should the rectangle be?
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