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nekit
2 months ago
10

Kate has a 20-square-foot plot of land in her backyard that she uses to grow tomatoes and lettuce. Every square foot of land can

produce either 5 tomatoes or 3 heads of lettuce each summer. Her neighbor, Jim, has a 30- square-foot plot of land that has a lot more shade than Kate's, which is better for lettuce but worse for tomatoes. Every square foot of Jim's land can produce either 3 tomatoes or 6 heads of lettuce.
a) How many tomatoes and heads of lettuce will Kate produce?
b) How many tomatoes and heads of lettuce will Jim produce?
Business
2 answers:
arsen [3.4K]2 months ago
4 0

Answer:

a) Kate will yield 100 tomatoes and no heads of lettuce.

b) Jim will yield 0 tomatoes and 180 heads of lettuce.

Explanation:

Due to better climatic conditions for growing tomatoes at Kate's plot, she should prioritize those for superior quality. Additionally, her lettuce yield per square foot is lower than Jim's (3 heads compared to his 6). This means Kate could cultivate 60 heads and Jim could produce 120 heads of lettuce on 20 square feet (double). Thus, she should skip lettuce cultivation due to both quality and quantity considerations.

The same reasoning applies to Jim's tomato production. If he grows tomatoes, he’ll only manage 60 at a 20-square-foot plot, in contrast to Kate's 100. Therefore, he should refrain from growing tomatoes.

Katen [3.5K]2 months ago
3 0

Response: dedserwgergeeq

Justification:

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