Question

Enero owns 70 hectares of land and plans to cultivate cabbage and carrots. The seed for carrots costs 20 pesos per hectare, and the seed for cabbages costs 60 pesos per hectare. He sets aside 3000 pesos as his budget for seedlings. At the end of the farming season, his profit was able to reach 150 pesos for carrots and 50 pesos for cabbages per hectare of land. Help Enero determine an optimal solution for his farm.

Options:
A) Plant only carrots.
B) Plant only cabbages.
C) Plant a combination of carrots and cabbages.
D) The information provided is insufficient to determine an optimal solution.

Answer 1

Enero should plant only carrots as it has the highest potential profit.

Step-by-step explanation:

Enero owns 70 hectares of land and has a budget of 3000 pesos for seedlings. The seed for carrots costs 20 pesos per hectare and the seed for cabbages costs 60 pesos per hectare. He earns a profit of 150 pesos per hectare for carrots and 50 pesos per hectare for cabbages.

To determine the optimal solution, we need to compare the total cost and the potential profit for each option:

1. Plant only carrots: The total cost would be 70 hectares * 20 pesos = 1400 pesos. The potential profit would be 70 hectares * 150 pesos = 10500 pesos.
2. Plant only cabbages: The total cost would be 70 hectares * 60 pesos = 4200 pesos. The potential profit would be 70 hectares * 50 pesos = 3500 pesos.
3. Plant a combination of carrots and cabbages: We can calculate the cost and profit for different combinations and see which one gives the highest total profit.

Based on the calculations, the optimal solution would be to plant only carrots, as it has the highest potential profit.