Jade is selling fruit baskets to raise money for a new homeless shelter in town. An apple fruit basket sells for $25 and citrus fruit basket sells for $40. The number of citrus fruit baskets Jade sells must be greater than or equal to 4 times the number of apple fruit baskets she sells. She has at most 50 fruit baskets to sell.
The number of apple fruit baskets sold is represented by x and the number of citrus fruit baskets sold is represented by y.
What is the maximum revenue she can make?
Here are the constraint equations we need
y ≥ 4x
x + y ≤ 50
And we want to maximize this revenue function, R
R = 25x + 40y
Here is a gaph of the constraints : https://www.desmos.com/calculator/kybxhc7dvb
The revenue is maximized at the corner point (10, 40)
So...the max revenue is 25(10) + 40(40) = 250 + 1600 = $1850