Question: A 250-V, 4-pole, wave-wound d.c. series motor has 782 conductors on itsarmature. It has armature and series field resistance of 0.75 ohm. The motor takesa current of 40 A. Estimate its speed and gross torque developed if it has a flux per pole of 25 mWb Answer: Step 1 Mechanical Engineering homework question answer, step 1, image 1 Mechanical Engineering homework question answer, step 1, image 2 Step 2 Mechanical Engineering homework question answer, step 2, image 1 Step 3 Mechanical Engineering homework question answer, step 3, image 1

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Solution in Excel:

Step 1: First I made the model of the problem in spreadsheet.

where some cells have excel formula like,

Production Quantity left blanked, because we have to find that,

Unit profit is filled, according to the , 'Maximise Profit: = 20x ¹ + 40x ² + 30x ^3'

C4= 20

D4= 40

E4=30

F4 = (C3*C4)+(D3*D4)+(E3*E4)

In Constraint,

Resource 1: 3x1 + 5x2+4x3≤ 400

C8= 3

D8=5

E8=4

F8 = (C3*C8)+(D3*D8)+(E3*E8)

G8=400

Resource 2: x1 +x2 + x3≤ 100

C9=1

D9=1

E9=1

F9 = (C3*C9)+(D3*D9)+(E3*E9)

G9 = 100

Resource 3: x1 + 3x2 + 2x3≤ 200

C10=1

D10=3

E10=2

F10 = (C3*C10)+(D3*D10)+(E3*E10)

G10=200

Step 2: I opened the solver. Data --> Solver

Added the values like in:

Set objective: I select the Total Profit Cell '$F$4'

To: I select 'Max' Because it is the maximization problem.

By changing Variable cells: I select the "Production Quantity" Cell for all 3 Products.

Subject to constraints: I added 3 constraints as given in the question, and the value is Used<= Available of 3 resources

then,

I "select the solving method" that is "Simple LX".

Then i click solved.

Then i get

Its shows that, if we manufacture

Product = 50

Product 2 = 50

Product 3 = 0,

then we achieve the maximum profit in given resources.