I have done some problems, but I’m stuck on 2 of them. The first is this:
An animal shelter cares for both dogs and cats until they get adopted. The shelter has space for up to 25 dogs as well as a separate space for up to 45 cats. Each dog takes up 3 units of space at the shelter while each car takes up 1 unit of space. What combination allows the shelter to maximize the amount of animals they take care of?
I defined the variables as
x: dogs
y:cats
i need to find the constraints to graph them. i have 3 so far that I think are correct but I don’t know what to do with the info about the space they take up. The constraints I have are
x less than or equal to 25
y less than or equal to 45
x + y less than or equal to 70 (the maximum cats plus max dogs)
i also need the objective function. Right now I have x + y = animals but i don’t think that’s right.
An animal shelter cares for both dogs and cats until they get adopted. The shelter has space for up to 25 dogs as well as a separate space for up to 45 cats. Each dog takes up 3 units of space at the shelter while each car takes up 1 unit of space. What combination allows the shelter to maximize the amount of animals they take care of?
I defined the variables as
x: dogs
y:cats
i need to find the constraints to graph them. i have 3 so far that I think are correct but I don’t know what to do with the info about the space they take up. The constraints I have are
x less than or equal to 25
y less than or equal to 45
x + y less than or equal to 70 (the maximum cats plus max dogs)
i also need the objective function. Right now I have x + y = animals but i don’t think that’s right.