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A cylindrical can is to hold a volume of 4000 cubic cm. The material for the top and bottom cost cents per square cm and the material for the side costs 1 cent per square cm. What dimensions should it have so as to minimize the cost of the materials?
(c) If its weekly cost function is C(x) = 68000 + 150x, how should the manufacturer set the size of the rebate in order to maximize its prot?
How much should the bank invest in each possible category? Let x, y, and z, respectively, be the amounts invested in bonds, certificates of deposit, and first mortgages. Solve the system of equations by the Gauss-Jordan elimination method.
Interest from the 6% account is paid out annually and is reinvested at an annual effective discount rate of 4%. At the end of the thirty years, the funds are liquidated. Find the investor's accumulated value at the time of liquidation.
1.use the second-order accurate central difference approximation and the first-order forward difference approximation
A motorboat travels 469km in 7 hours going upstream. It travels 493km going downstream in the same amount of time. What is the rate of the boat in still water and what is the rate of the current?
if the first and the third consecutive odd integers are added,the result is 87 less than five times the second integer. find the third integer.
Find the rate of increase in revenue when production is 1000 switches per day. Find the rate of increase in profit when production is 1000 switches per day. dollars/day.
find the position of the spring when it has, (i)zero velocity(ii)max velocity(iii)minimum velocity
Draw and label the phase diagram(x. vs. x) for x. = 3x2 - 9x. Indicate the system progress (using arrows and EXPLAIN). Identify any critical points as stable, unstable, or semi-stable (EXPLAIN).
a weather radar system scans a circular area of radius 45km. the beam rotates 6 complete revolutions in one minute. how
What is the profit maximizing price and quantity of output for Ajax, assuming it is an unregulated monopoly? What are its profits?
Find (dy/dx) by implicit differentiation for the following equation:
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