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The price a firm obtains for a commodity varies with demand Q according to the formula P (Q) = 18 - 0.006Q. Total cost is C(Q) = 0.004Q2 + 4Q + 4500.
(a) Find the firm's profit p(Q) and the value of Q that maximizes profit.
(b) Find a formula for the elasticity of P (Q) w.r.t. Q, and find the particular value Q* of Q at which the elasticity is equal to -1.
(c) Show that the marginal revenue is 0 at Q*.
Select points A and B so the construction costs are a minimum. What is the minimum cost? How long is the pipeline of minimum costs? Compare with the distance from P to Q?
assume that y1, y2 are solutions of the equation y''+py+qy=0 where p and q are functions of t.
Express the number in scientific notation.The diameter of Neptune: 49,600,000 m and Perform the indicated calculations. Write your result in scientific notation. (8 x 108)(5.4 x 103)/(2.7 x 1014)(2 x 1015)
how many cups of flour should Susan use In her grandmother's recipe? solve & explain how you use the meanings of multiplication aSusan has a 5-pound bag of flour and an old recipe of her grandmother's calling for 1 kilogram of flour. she read on th..
Finding coefficient
A closed rectangular box having a volume of 7 ft3 is to be constructed. If the material for the sides costs $1.2/ft2 and the material for the top and bottom costs $1.3/ft2, find the dimensions of the box that can be constructed with minimum cost. ..
Should you develop this product? How do you make a decision in this situation? Also, how can one come up with the probability of success (or failure)?
Express the retailer's monthly profit from the sale of the cameras as a function of the selling price. Estimate the optimal selling price.
Without integrating find an explicit expression for each integral. a. 0∫∞e-(s + 5)t dt, b. 0∫∞e-st sin 3t dt and c. 0∫∞ t2e-(s - 2)t dt.
A satellite orbits the earth so that it remains at the same point above the Earth's surface as the Earth turns. If the satellite has a 50 degree view of the equator, what percent of the equator can be seen from the satellite?
Explain Pat paid 1/3 of his debt one year and 1/4 of his debt the second year. At the end of the year, how much of his debt remained?
at what angle must the submarine fire the torpedo to strike the carrier (report to 2 decimal places, i.e. 35.62 degrees). What is the running time of the torpedo? What distance does the torpedo travel?
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