Zenith Co. produces three different models of TV for its customer. Each model I,

Question

Zenith Co. produces three different models of TV for its customer. Each model I, II, and III earns a profit of $15, $5, and $30 respectively. Raw materials needed for each model and availability of raw materials are given in the following table.

Raw Materials

Pounds of raw material for each TV

Maximum availability (lbs)

Model I

Model II

Model III

Glass

3

2

3

150

Plastic

5

1

6

275

Metal

4

2

5

235

Using the Solver method, find the optimal solution.

Raw Materials

Pounds of raw material for each TV

Maximum availability (lbs)

Model I

Model II

Model III

Glass

3

2

3

150

Plastic

5

1

6

275

Metal

4

2

5

235

Explanation / Answer

The constraints are 3x+2y+2z <=150 ... (i)

5x+y+6z <=275 ... (ii)

4x+2y+4z <=235 ... (iii)

Hence solution is x = 7, y =6 and z =39

Hence optimal solution is

x = 7, y =6 and z =39

x y z Raw Materials Pounds of raw material for each TV Maximum availability (lbs) Model I Model II Model III Glass 3 2 3 150 Plastic 5 1 6 275 Metal 4 2 5 235

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