A produce dealer in Florida ships oranges, grapefruits, and avocados to New York by truck. Each truckload consists of 100 crates, of which at least 20 crates must be oranges, at least 10 crates must be grapefruits, at least 30 crates must be avocados, and there must be at least as many crates of oranges as grapefruits. The profit per crate is $5 for oranges, $6 for grapefruits, and $4 for avocados. How many crates of each type should be shipped to maximize the profit?

To maximize the profit, 35 crates of oranges, 35 crates of grapefruits and 30 crates of avocados should be shipped

Step-by-step explanation:

Maximum number of crates in each truckload = 100

Least number of crates that must be oranges = 20

Least number of crates that must be grapefruits = 10

Least number of crates that must be avocados = 30

Since the maximum number of crates in each truckload is 100 and there must be at least as many crates of oranges as grapefruits, to maximize profit, the least number of crates of oranges must be 35, the least number of crates of grapefruits must also be 35 and the least number of crates of avocados must be 30.

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!