1. A gardener has 90 square feet to plant carrots and tomatoes for the farmers market. The gardener can only plant one carrot plant or one tomato plant per square foot and they want to determine how many of each crop to plant. The gardener can makes $2 profit for carrots and $1 profit for tomatoes, but it takes the gardener approximately 3 minutes to harvest a carrot plant and only 1 minute to harvest a tomato plant. Wanting to keep the produce as fresh as possible, she only gives herself at most 120 minutes before the farmers market to pick as many plants as she can. For this problem let's assume x = carrots and y = tomatoes.
If the gardener wants to maximize her profits at the farmers market, what is the function we are trying to maximize? P = profit
a. P = 2x + y
b. P = 3x + y
c. P = x + 3y
d. P = x + y
2. A gardener has 90 square feet to plant carrots and tomatoes for the farmers market. The gardener can only plant one carrot plant or one tomato plant per square foot and they want to determine how many of each crop to plant. The gardener can makes $2 profit for carrots and $1 profit for tomatoes, but it takes the gardener approximately 3 minutes to harvest a carrot plant and only 1 minute to harvest a tomato plant. Wanting to keep the produce as fresh as possible, she only gives herself at the most 120 minutes before the farmers market to pick as many plants as she can. For this problem let's assume x = carrots and y = tomatoes.
How many carrot plants and how many tomato plants should she plant to maximize her profit?
a. 20 Carrots, 70 Tomatoes
b. 25 Carrots, 65 Tomatoes
c. 30 Carrots, 60 Tomatoes
d. 15 Carrots, 75 Tomatoes