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q = 100,000 - 200p
Where .q. equals the number of units demanded and .p. equals the price in rupees. The total cost of producing q units of the product is estimated by the function:
C = 150,000 + 100q + 0.003q2
Required:
a.Determine how many units of q should be produced in order to maximize annual profit?
b.What price should be charged?
c.What is the annual profit expected to equal?
q=150,000-75p
Where q equals the numbers of units demanded and p equals the price in dollars.
Determine the price which should be charged to maximize total revenue.
What is maximum value for total revenue
How many units are expected to be demanded?
colored glass on top; the colored glass transmits only 1/2 as much light per unit area as the the clear
glass. If the distance from top to bottom (across both the rectangle and the semicircle) is 2 meters and
the window may be no more than 1.5 meters wide, find the dimensions of the rectangular portion of the
window that lets through the most light.
Cylindrical soup cans are to be manufactured to contain a given volume V . No waste is involved in cutting the material for the vertical side of each can, but each top and bottom which are circles of radius r, are cut from a square that measures 2r units on each side. Thus the material used to manufacture each soup can has an area of A = 2πrh + 8r2 square units.
(a) How much material is wasted in making each soup can?
(b) Find the ratio of the height to diameter for the most economical can (i.e. requiring the least amount of material for manufacture.)
(c) Use either the fi rst or second derivative test to verify that you have min-imized the amount of material used for making each can.
Find f(x) and g(x) so that the function can be described as y = f(g(x)).
y = 8/x^2 + 2
#339914 on Dec 2023