5 Use a spreadsheet to numerically verify the result of Exercises 1-55. For Exercises 23-28 find the maximum profit and the number of units that must be produced and sold in order to yield the maximum profit, Assume that revenue, R ( x ) , a n d cos t , C ( x ) , a r e i n d o l l a r s f o r Exercises 23-26 Minimizing cost. Assume that the costs of the materials for making the cylindrical container described in Exercise 48 a r e $ 0.005 / i n 2 f o r t h e c i r c u l a r b a s e a n d t o p a n d $ 0.003 / i n 2 for the wall what dimensions will minimize the cost of materials?
5 Use a spreadsheet to numerically verify the result of Exercises 1-55. For Exercises 23-28 find the maximum profit and the number of units that must be produced and sold in order to yield the maximum profit, Assume that revenue, R ( x ) , a n d cos t , C ( x ) , a r e i n d o l l a r s f o r Exercises 23-26 Minimizing cost. Assume that the costs of the materials for making the cylindrical container described in Exercise 48 a r e $ 0.005 / i n 2 f o r t h e c i r c u l a r b a s e a n d t o p a n d $ 0.003 / i n 2 for the wall what dimensions will minimize the cost of materials?
Solution Summary: The author explains that a closed-top cylindrical container of volume 250 in2 to minimize the cost of materials is provided. The concept of Max-Min Principle-2 is taken into consideration.
5 Use a spreadsheet to numerically verify the result of Exercises 1-55.
For Exercises 23-28 find the maximum profit and the number of units that must be produced and sold in order to yield the maximum profit, Assume that revenue,
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Exercises 23-26
Minimizing cost. Assume that the costs of the materials for making the cylindrical container described in Exercise 48
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for the wall what dimensions will minimize the cost of materials?
Trolley of the overhead crane moves along the bridge rail. The trolley position is
measured from the center of the bridge rail (x = 0) is given by x(t) = 0.5t^3-6t^2+19.5t-14 : 0 <= t <= 3 min. The
trolley moves from point A to B in the forward direction, B to C in the reverse direction and C to D again in the
forward direction.
CONTROL PANEL
END TRUCK-
RUNWAY BEAM-
BRIDGE RAIL
HOIST
-TROLLEY
TROLLEY BUMPER
TROLLEY DRIVE
LPENDANT TRACK
-TROLLEY CONDUCTOR
TRACK
WIRE ROPE
-HOOK BLOCK
-BRIDGE DRIVE
-END TRUCK BUMPER
-RUNWAY RAIL
TROLLEY END STOP
-CONDUCTOR BAR
PENDANT FESTOONING
TROLLEY FESTOONING
PENDANT CABLE
PENDANT
x(t)=0.5t^3-6t^2+19.5t-14
v(t)=1.5t^2-12t+19.5
a(t)=(dv(t))/dt=3t-12
Fig. T2.2: The overhead crane
Total masses of the trolley, hook block, and the load attached to the hook block are 110 kg, 20
kg, and 150 kg. Damping coefficient, D, is 40 kg/s.
What is the total amount of energy required from the trolley motor to move the system
[Hint: Use Newton's 2nd law to obtain the…
CONTROL PANEL-
BRIDGE RAIL
HOIST
-TROLLEY
TROLLEY BUMPER
-BRIDGE DRIVE
END TRUCK-
RUNWAY BEAM-
END TRUCK BUMPER
-RUNWAY RAIL
TROLLEY DRIVE
TROLLEY END STOP
-CONDUCTOR BAR
LPENDANT TRACK
TROLLEY CONDUCTOR
TRACK
-WIRE ROPE
PENDANT FESTOONING
TROLLEY FESTOONING
-PENDANT CABLE
-HOOK BLOCK
PENDANT
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