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Question: A producer sells two commodities, x units of one commodity and y units of the other. Suppose the Revenue derived from the sale of these two commodities is given by the equation R(x, y) = 12x2y3 and the cost function is given byC(x, y) = x3y3 + x2y4 + 5000, determine the maximum profit.
Solve each system of equations by sketching the graphs. Use the slope and the y-intercept or both intercepts.
What is the probability that all the aces will appear before any of the tens? Compute Deck of cards probability
two cars leave a city and head in the same direction. after 7 hours, the faster car is 35 miles ahead of the slower car. the slower car has traveled 329 miles. what is the speed of the two cars?
Suppose P = ? Pij ? is the transition probability matrix of an irreducible recurrent Markov chain {Xn}. Use the supermartingale convergence theorem (see Remark 5.1) to show that every nonnegative solution y={y(i)} to the system of inequalities , (MIS..
select a quadratic equation and solve it using the completing the square method. show your work in full
One resident of this community has an old, working refrigerator whose food-storage compartment has the following dimensions: 44 inches from top to bottom, 24 inches from left to right, and 17 inches from front to back. Does the food-storage capaci..
The Complement A of an r-subset A of {1,2...,n} is the (n-r)-subset of {1,2,...,n} consisting of all those elements that do not belong to A. Let M= C(n,r), the number of r subsets and at the same time the number of (n-r)
Racing cars driven by Chris and Kelly are side by side at the start of a race. The table shows the velocities of each car (in mph) during the first 10 seconds of the race. Use the Midpoint Rule to estimate how much farther Kelly travels than Chris..
Compound Interest: Suppose a certain amount of money is deposited in an account paying 3% annual interest compounded monthly.
Air is being pumped into a spherical balloon at a rate of 20 cubic feet per second. At what rate is the radius of the balloon increasing at the instant when the radius equals 15 feet?
a rectangular piece of cardboard is twice as long as it is wide. A 4-cm square is cut out of each corner, and the sides are turned up to make a box with an open top. The volume of the box is 616cm cubed. Find the original dimensions of the cardboa..
How many edges does an n-cube have? Give your reason. How many (main) diagonals does a 4-dim cube have? Are any two of them perpendicular to each other?
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