Thread: Can anyone help me? Im having trouble with linear programming.

1. Can anyone help me? Im having trouble with linear programming.

A reptile farm houses new lizards and frogs. The amount of space required and the total space available, the cost for food per month and the total food budget per month, as well as the profit for each reptile is given in the table. How many lizards and how many frogs should the farm sell in order to maximize the profit?
Lizard Frog Total available
Space required 2 sq. ft 2 sq. ft. 400 sq. ft

Food budget
per month $6$1 $600 Profit$17 \$6

Let x= # of lizards?
Let y= # of frogs?

Objective function: no idea

Constraints: I dont know either

2. Let x= # of lizards
Let y= # of frogs

we need to maximize the profit, that is $17x + 6y$
with constraints :

$2x + 2y \leq 400$
$6x + y \leq 600$