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A polutry farm owns 100 laying hens. Each week a hen can either lay 12 eggs or hatch 4 eggs, but not both.
At the end of the four-week period all eggs and chicks will be sold: an egg will bring 10 cents, and a chick will bring 60 cents.
Assume that an egg can be hatched only in the week after it is laid. Otherwise it must be saved and sold for 10 cents. Assume that there are no eggs available for hatching in the first week.
Formulate and solve a linear program that will suggest a hen managentment strategy that will maximize profit for this operation. Formulate the linear prgram.
The machine part ABC is supported by a frictionless hinge at B and a wedge at C. Knowing that the coefficient of static friction is 0.20 at both surfaces of the wedge, determine:
A 10 kg block is being pulled down a slope with an angle of 20 degrees and has a velocity of .2 m/s. Determine the force required
Starting from x = 0 with no initial velocity, the acceleration of a race car is defined by the relation a = 6.8e- 0.00057x , where a and x are expressed in m/s 2 and meters, respectively. Determine the position of the race car when v = 30 m/s.
What is the length of the partial wavelength for electromagnetic energy with a frequency of 15 MHz and a phase shift of 263 degrees (in meters)?
A consolidated-drained triaxial shear test on a normally consolidated clay yielded a drained friction angle of 28 degrees. If the confining pressure during the test was 15 psi, what was the major principal stress at failure.
A plane truss has joint loads P, 2P, and 3P at joints D, C and B, respectively where load variable P=23kN. All members have two end plates which are pin-connected to gusset plates.
The saturated unit weight (sat) of the sand is 20.0 kN/m3 and the anticipated depth to water in the well during pumping is 20 m below ground surface.
A steady flow of refrigerant 134a enters a throttling valve in a refrigeration unit as a satrurated liquid with a pressure of 150 psia. The refrigerant is discharged with a pressure of 40 psia.
Investigators have determined that the rate equation for bacterial kill in batch chlorine contact chambers is: rxn rate = dC/dt=-kCt where C is the concentration of bacteria, k is the rate constant, and t is time.
At what depth will water flow in a 10 m wide rectangular channel, if n=0.01, S=0.0015 and Q=9m^3/s
The height (in meters) of a projectile shot vertically upward from a point 2 m above ground level with an initial velocity of 24.5 m/s is h2+24.5t-4.9t^2 after t seconds. a) When does the projectile reach its maximum height? b) What is the maximum..
A Ferris wheel with a radius of 35 feet starts from rest and undergoes an angular acceleration of 0.05 rad/s^2. Compute the magnitude of the velocity and acceleration vectors at 5 seconds for a point on the rim of the Ferris wheel.
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