Neem Agro Ltd, engaged in agricultural activities, has 500 hectares of virgin land, which can be based for growing jointly or individually tea, coffee and cardamom. The yield per hectare of the different crops and selling prices per kg are as follows:

Yield (kg)

Selling Price (Rs. per kg)

Tea

2,500

25

Coffee

625

50

Cardamom

125

300

The Relevant Cost data are given as follows:

1. Variable Cost per kg:

Tea

Coffee

Cardamom

Labour Charges

10.00

12.50

150.00

Packing Materials

2.50

2.50

12.50

Other Costs

5.00

1.25

25.00

17.50

16.25

187.50

2. Fixed Cost per annum:

Cultivation and Growing Cost

16,00,000

Administrative Cost

4,50,000

Land Revenue

2,75,000

Repairs and Maintenance

5,00,000

Other Costs

6,75,000

35,00,000

The policy of the company is to produce and sell all the three kinds of products and the maximum and minimum area to be cultivated per product are as follows:

Maximum Area (Hectares)

Minimum Area (Hectares)

Tea

320

240

Coffee

100

60

Cardamom

60

20

Calculate the priority of production, the most profitable product mix and the maximum profit which can be achieved.