Final answer:
To maximize profits, the shop should prepare 200 Pamper Me baskets and 150 Best Friends baskets each week.
Step-by-step explanation:
To maximize profits, we need to determine the number of each type of basket that should be prepared each week. Let's represent the number of Pamper Me baskets as 'x' and the number of Best Friends baskets as 'y'.
From the information given, we can form the following system of equations:
1x + 2y = 500 (equation 1)
3x + 3y = 900 (equation 2)
Multiplying equation 1 by 2, we get:
2x + 4y = 1000 (equation 3)
Now, subtracting equation 3 from equation 2, we can eliminate 'y' and solve for 'x':
(3x + 3y) - (2x + 4y) = 900 - 1000
x - y = -100
Adding equation 1 to the new equation gives:
(1x + 2y) + (x - y) = 500 - 100
2x = 400
x = 200
Substituting the value of 'x' back into equation 1, we can find 'y':
1(200) + 2y = 500
y = 150
Therefore, the shop should prepare 200 Pamper Me baskets and 150 Best Friends baskets each week.