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If the Total cost is TC=100+20Q and the margnal cost is MC=20 with a Quantity demanded is QD=300-2P, what the AVC and the ATC? How do you solve it?
On a 10-question multiple choice test there are 5 possible answers for each question, of which 1 is correct and the other 4 are incorrect. If a student guesses randomly and independently, what is the probability of:
The metal used to make the top and bottom of a cylindrical can costs 4 cents/in^2, while the metal used for the sides costs 2 cents/in^2. The volume of the can is to be exactly 100 in^3. What should the dimensions of the can be to minimize the cos..
Consider the following six" postulates" Art, Bev, Cheryl , Dot and Ed all attend the same college where one is a freshman, one is a sophomore, one is a junior, one is a senior and one is a graduate student.
A farmer has a rectangular pasture with dimensions x by 2x. If he places posts 15 ft. apart, how will he represent the distance between each post on the shorter side? on the longer side?
Probability of rolling the given sum on two dice. You are rolling a pair of dice, one red and one green. What is the probability of the following out comes
A plane is heading due south with an airspeed of 294 mph. A wind from a direction 51 degree is blowing at 8 mph. Find the bearing of the plane.
A box with a square base has length plus girth of 106 in. (Girth is the distance "around" the box.) What are the two possible lengths of the box, if its volume is 2200 in3?
Stephanie bought eighteen pens, some black and the rest blue, for $8.22. The blue pens cost $0.06 more than the black pens. The number of blue pens that she bought was as close as possible to the number of black pens that she bought. What was the ..
Consider the recurrence relation an = 3an-1 + 5n. (a) Write the associated homogeneous recurrence relation. (b) Find the general solution to the associated homogeneous recurrence relation. (c) Find a particular solution to the given recurrence rel..
Let X be a continuous random variable with the PDF f and the CDF F. Assume that f(x) > 0 for all real numbers x. Define the random variable Y = F (X ). Show that Y is uniform in the interval [0, 1].
Among all rectangular solids defined by the inequalities 0 ≤ x ≤ a, 0 ≤ y ≤ b, 0 ≤ z ≤ 1, find the one for which the outward flux of F = (-x2 - 4xy)i - 6yzj + 12zk outward through the six sides is greatest. What is this maximum flux?
Two motorcycles travel toward each other from cities that are about 665 km apart at rates of 110 km/hr and 80 km/hr. They started at the same time. In how many hours will they meet?
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