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Calculate the gross margin for each crop. From your calculation which crop is profitable to grow. Discuss five factors considered when planning a farm

Accounting

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Here are the calculations for the gross margin of each crop and the discussion of factors for farm planning.

i) Calculate the gross margin for each crop

The gross margin is calculated as:

Gross Margin=Total Revenue−Total Variable Costs\text{Gross Margin} = \text{Total Revenue} - \text{Total Variable Costs}

All calculations are per hectare.

For Maize:

  1. Calculate Total Revenue for Maize.

    Total Revenue=Yield per hectare×Price per kg\text{Total Revenue} = \text{Yield per hectare} \times \text{Price per kg} Total Revenue=5500 kg×15 Kshs/kg=82500 Kshs\text{Total Revenue} = 5500 \text{ kg} \times 15 \text{ Kshs/kg} = 82500 \text{ Kshs}
  2. Calculate Total Variable Costs for Maize.

    • Cost of cultivation/ha: 3000 Kshs3000 \text{ Kshs}
    • DAP fertilizer cost: 3 bags×1500 Kshs/bag=4500 Kshs3 \text{ bags} \times 1500 \text{ Kshs/bag} = 4500 \text{ Kshs}
    • Labour cost: 50 man days×150 Kshs/man day=7500 Kshs50 \text{ man days} \times 150 \text{ Kshs/man day} = 7500 \text{ Kshs}
    • CAN fertilizer cost: 3 bags×1000 Kshs/bag=3000 Kshs3 \text{ bags} \times 1000 \text{ Kshs/bag} = 3000 \text{ Kshs}
    Total Variable Costs (Maize)=3000+4500+7500+3000=18000 Kshs\text{Total Variable Costs (Maize)} = 3000 + 4500 + 7500 + 3000 = 18000 \text{ Kshs}
  3. Calculate Gross Margin for Maize.

    Gross Margin (Maize)=82500 Kshs−18000 Kshs=64500 Kshs\text{Gross Margin (Maize)} = 82500 \text{ Kshs} - 18000 \text{ Kshs} = \boxed{\text{64500 Kshs}}

    For Beans:

    Assumption: For Beans, "Yield per hectare Kshs.5000" is interpreted as 5000 kg, consistent with the maize data format.

  4. Calculate Total Revenue for Beans.

    Total Revenue=Yield per hectare×Price per kg\text{Total Revenue} = \text{Yield per hectare} \times \text{Price per kg} Total Revenue=5000 kg×50 Kshs/kg=250000 Kshs\text{Total Revenue} = 5000 \text{ kg} \times 50 \text{ Kshs/kg} = 250000 \text{ Kshs}
  5. Calculate Total Variable Costs for Beans.

    • Cost of cultivation/ha: 3600 Kshs3600 \text{ Kshs}
    • Labour cost: 75 man-days×200 Kshs/man day=15000 Kshs75 \text{ man-days} \times 200 \text{ Kshs/man day} = 15000 \text{ Kshs}
    • DAP fertilizer cost: 2 bags×1500 Kshs/bag=3000 Kshs2 \text{ bags} \times 1500 \text{ Kshs/bag} = 3000 \text{ Kshs}
    • Seed cost: 20 kg×80 Kshs/kg=1600 Kshs20 \text{ kg} \times 80 \text{ Kshs/kg} = 1600 \text{ Kshs}
    • CAN fertilizer cost: 1 bag×1000 Kshs/bag=1000 Kshs1 \text{ bag} \times 1000 \text{ Kshs/bag} = 1000 \text{ Kshs}
    • Cost of sprays: 3000 Kshs3000 \text{ Kshs}
    Total Variable Costs (Beans)=3600+15000+3000+1600+1000+3000=27200 Kshs\text{Total Variable Costs (Beans)} = 3600 + 15000 + 3000 + 1600 + 1000 + 3000 = 27200 \text{ Kshs}
  6. Calculate Gross Margin for Beans.

    Gross Margin (Beans)=250000 Kshs−27200 Kshs=222800 Kshs\text{Gross Margin (Beans)} = 250000 \text{ Kshs} - 27200 \text{ Kshs} = \boxed{\text{222800 Kshs}}

    **

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